here - Quaternion Aerospace
Transcription
here - Quaternion Aerospace
Multidisciplinary Design for Flight Test of a Scaled Joined Wing SensorCraft Jenner Richards1 and Afzal Suleman2 University of Victoria, Victoria, BC, Canada Tyler Aarons3 and R. Canfield4 Virginia Polytechnic Institute and State University, Blacksburg, Virginia, USA A 1/9th scale test article is required to investigate the aeroelastic and gust response of the Boeing Joined Wing SensorCraft concept and validate existing analytical models. The remotely piloted vehicle must exhibit equivalent aeroelastic properties while also being designed for flight worthiness. This poses unique challenges that must be addressed using multidisciplinary design approach. Analytical methods are used across disciplines including structures, propulsion, stability, control, simulation and flight testing. Design choices are validated using a combination of software simulations, hardware in the loop testing and preliminary flight tests using a several low risk flight test vehicles. Flight testing of the joined wing concept will be performed using a rigid prototype. Future work includes re-winging the test vehicle with aeroelastically scaled lifting surfaces in order to achieve the desired aeroelastic characteristics. Nomenclature AFRL AVL CAD CCMS CG CL CNC DoF EDF EOM FE FTP GLA GVT HALE HASC INS = = = = = = = = = = = = = = = = = Air Force Research Laboratory Athena Vortex Lattice Computer Aided Design Collaborative Center for Multidisciplinary Sciences Center of Gravity Lift coefficient Computer Numerically Controlled Degree of Freedom Electric Ducted Fan Equations of Motion Finite Element Flight Test Program Gust Load Alleviation Ground Vibration Test High Altitude, Long Endurance High Angle of Attack Stability and Control Inertial Navigation System 1 Ma Sc. Candidate, Dept of Engineering, University of Victoria, PO Box 3055, V8W 3P6, Member AIAA Principle Investigator, IDMEC-IST, Lisbon, Portugal, AIAA Associate Fellow 3 MS Candidate, Aerospace and Ocean Engineering Dept, Virginia Tech, 24061, Member AIAA 4 Professor, Virginia Tech Aerospace and Ocean Engineering Dept, Blacksburg, VA 24061, Associate Fellow AIAA 2 1 American Institute of Aeronautics and Astronautics ISR JWSC MC NAST PDE R/C RPV TOGW UAV VLM = = = = = = = = = = Intelligence Surveillance and Reconnaissance Joined Wing SensorCraft Model Center Nonlinear Aeroelastic Simulation Toolbox Partial Differential Equation Radio Controlled Remotely Piloted Vehicle Takeoff Gross Weight Unmanned Aerial Vehicle Vortex Lattice Method II. Introduction I. H IGH altitude, long endurance (HALE) unmanned aerial vehicles (UAVs) are capable of providing revolutionary intelligence, surveillance and reconnaissance (ISR) capabilities over vast geographic areas when equipped with advanced sensor packages. The aeroelastic responses, specifically aft wing buckling and gust load response, associated with the Joined Wing SensorCraft (JWSC) have been demonstrated and investigated in numerous computational and wind tunnel studies1-3; however, these phenomena have never been successfully tested in a flight test program. The Air Force has determined that an aeroelastically scaled Remotely Piloted Vehicle (RPV) provides a low cost and effective way to investigate these non-linear aeroelastic responses. By experimentally demonstrating, investigating and measuring these responses, future flight test programs will be able to test active aeroelastic control and gust load alleviation systems to reduce the structural and aerodynamic effects of the nonlinear responses. In addition, the testing of the RPV will serve to validate the aeroelastic scaling methods employed and support management planning for future tests of SensorCraft technologies. III. Background The Sensorcraft is a concept initiated by the Air Force Research Laboratory (AFRL) to serve as a nextgeneration, HALE reconnaissance system. Traditional aircraft design typically sees an airframe being designed first and a selection of sensors chosen to integrate into that platform. With the Sensorcraft project, this process is reversed and an aircraft platform is specifically designed around an optimized collection of sensors. This has resulted in a departure from conventional configurations as is apparent with the Boeing Joined Wing Concept4 shown in Figure 1. Figure 1. Joined wing SensorCraft Concept4 The joined-wing configuration offers many potential benefits over conventional aircraft designs. Foremost is the ability to incorporate conformal radar antennae in the fore and aft wings to provide persistent 360 degree, foliage penetrating surveillance. Among other potential benefits are reduced induced drag, a stiffer and potentially lighter wing structure, and direct lift/side force control. These benefits do come at a cost however. Previous computational studies of joined-wing aircraft configurations have shown the importance of geometric nonlinearity due to large deflections and follower forces that may lead to buckling of the aft wing1,5. This potential buckling represents a 2 American Institute of Aeronautics and Astronautics unique and challenging aeroelastic design problem. The non-linear behavior, which is a result of the joined wing configuration and advanced, lightweight structural design, could be removed by strengthening the wing to a point where these non-linear behaviors vanish; however, this would result in large penalties in aspect ratio and structural weight, greatly reducing the performance of the aircraft. To avoid these penalties, nonlinear aeroelastic design, analysis and testing are required to ensure that the Joined Wing SensorCraft is able to sustain the nonlinear responses required to complete the proposed ISR mission. An aeroelastically scaled RPV provides a low cost and effective way to investigate these non-linear aeroelastic responses. IV. Program Overview and Approach The aeroelastic scaling and flight testing of the JWSC is the topic of an ongoing international collaboration between Virginia Tech and The University of Victoria (Canada). The program leverages the resources of Quaternion Engineering Inc. (Victoria, Canada) as well as the AFRL/ Virginia Tech/ Wright State Collaborative Center for Multidisciplinary Sciences (CCMS) at Virginia Tech. This ambitious program has two primary objectives. The first is to develop a cost-effective, aeroelastically scaled, RPV to investigate the known geometrically nonlinear behavior associated with the JWSC configuration. The second objective is to design and perform flight test experiments to demonstrate, measure and characterize the nonlinear behavior in flight. The full scale flight point of interest corresponds to a fully fueled take off condition at sea level. The airforce requests that a 1/9th scale RPV be built with equivelent scaled physics. Table 1 summarizes both the full scale and the corresponding reduced scale test point while Figure 2 illustrates the size of the full scale and RPV airframes. Table 1. Summary of full scale and RPV test points Span (ft) Flight Speed (kt) Test Point Weight (lb) Altitude (ft) Full Scale JWSC 150 168 155337 Sea Level RPV 16.4 56 204.5 Sea Level Figure 2. Relative size of full scale JWSC and RPV Due to the unique JWSC geometry, the relative large scale of the RPV and the challenge of fabricating aeroelastically scaled, flight worthy components, the JWSC Flight Test Program (FTP) is divided into two distinct phases: a flight worthiness program and an aeroelastic response program. The flight worthiness program involves the conceptual design of a rigid RPV (one with equivalent rigid body dynamics, i.e. preserved aerodynamics, overall mass and moments of inertia, but no aeroelastic scaling) including construction methods, flight test instrumentation 3 American Institute of Aeronautics and Astronautics selection and integration, control system tuning and flight test program development. This also includes the construction and flight testing of several preliminary models to determine flying qualities and trim requirements. During this program, preliminary aeroelastic scaling, which represents the beginning of the aeroelastic response program, will also be performed. Once the rigid RPV flight tests are completed, construction will begin on the aeroelastically scaled RPV and a second flight test program will be developed. The project will culminate in the completion of the flight test program of the aeroelastically scaled RPV. A major challenge posed is from the broad range of complex, and often conflicting, design requirements. Balancing these requirements involves analysis, optimization and testing across several disciplines including structures, propulsion, stability, control, simulation and flight testing. A flowchart presenting the breakdown of disciplines involved is presented in Figure 3. Figure 3. Flowchart of multidisciplinary approach An additional challenge is presented because the flight test article also must be designed for flight worthiness. This must include allowances for fuel, avionics, sensors, landing gear etc., while also providing acceptable flying characteristics for the ground based pilot. In addition, the aircraft must be fully instrumented in order to accurately capture the aeroelastic response in flight in accordance with an incremental flight test approach. The remainder of this paper serves to summarize the work performed across each of the above mentioned disciplines in order to produce an aeroelastically scaled RPV, and supporting flight test program. Note that details of all five RPV aircraft in use or in development for this program, including pictures and specifications, are presented in the Appendix for reference. V. Structures The following sections give a brief description of the scaling parameters used to map the full scale test point to the RPVs scale. Detailed descriptions of both the initial Rigid RPV as well as the methods used to optimize the RPV’s structure in order to accurately reproduce the desired aeroelastic responses are also included. A. Scaling the Full Scale Test Point for RPV Tests Both the rigid and aeroelastically equivalent models are constrained by a set of scaling parameters, used to map the full scale test point, stiffness, mass and geometry to the reduced scale test point. These scaling parameters are derived from a chosen set of governing equations. Due to the limited time and resources, some assumptions are applied to simplify the scaling process. In the present case, a simplified physics model is chosen- the small disturbance, linear potential partial differential equations (PDE): 4 American Institute of Aeronautics and Astronautics [ ̈ ]{ } ̈ [ ]{ } [ ][ ]{ } (1) Where X Ѳ Mij Kij b Qij Vector of translational degrees of freedom Vector of rotational degrees of freedom Block matrix terms in mass/inertia matrix Block matrix terms in stiffness matrix Reference length Block matrix of aerodynamic terms The choice of scaling, based on the linear PDE equations above, allows the elimination of several constraints that would otherwise be present if a more complex procedure was chosen (i.e. one based on the Navier Stokes equations). For instance, the equations are based on thin airfoil theory which allows an arbitrary airfoil thickness to be assigned, assuming the mean camber line is maintained. Also, if inviscid incompressible flow is assumed, the equations of motion (EOM) will not constrain the Mach number or Reynolds number. While limited, these physics are adequate for a low-cost exploration of flight mechanics. When the EOM describing this system are non-dimensionalized, they yield a set of parameters that are used for scaling the baseline aircraft. Table 2 below summarizes the calculated scaling parameters. Table 2 – Summary of Scaling Parameters Scaling parameter Length Scale Velocity-Ratio Air Density Ratio Mass-Ratio Frequency-Ratio B. Rigid Prototype The Rigid prototype (refered to as Rigid RPV for remainder of the paper) employs a composite construction created using twelve separate computer numerically controlled (CNC) machined female moulds. These moulds are used to lay up the skin of the aircraft, and a rib and spar design, shown below in Figure 4, is used to provide structural stiffness. 5 American Institute of Aeronautics and Astronautics Figure 4 . Internal Structure of the Rigid RPV As mentioned previously, the Rigid RPV is designed to only reproduce the aerodynamics, overall mass and moments of inertias of the full scale JWSC. The aerodynamic matching is achieved by preserving the outer mould line of the original geometry, whereas the overall mass and inertias are matched through the addition of trimming masses. Careful attention is paid to the location of these trimming masses so that both overall mass and inertias are matched. In order to achieve this, four areas are chosen as locations for the trimming weights such that their effects on the principle moments of inertia ( , , and ) are uncoupled. The locations of the trimming masses are depicted in Figure 5. The first location is chosen within the fuselage. Since it is nearer the center of gravity, weight added here has little effect on any of the principle moments of inertia, and is only used to augment the takeoff gross weight (TOGW) of the aircraft. Next, a compartment is chosen within the wing near the joint. Addition of weight here has the greatest effect on the rolling and yawing moment, while largely uncoupling the pitching moment of inertia. (This location is also desirable structurally since the main wing is supported here by the aft wing). A compartment is chosen in the aft wing/tail boom intersection due to its larger volume and large effect on the yaw and pitch moments with the final location in the nose of the aircraft to help trim the aircraft longitudinally. Figure 5. Location of Trimming Weight Bays (1 in fuselage, 2 in wings, 3 in tail and 4 in nose) A finite element (FE) model has been developed to represent the geometry as modeled and is used to determine parameters such as material thicknesses, ply build-up etc. Analysis is done using two-dimensional shell elements. Point masses are used to represent components such as engines, fuel tanks, landing gear etc. These point masses are then coupled to the geometry using beam elements. An initial set of analyses includes a 3-g landing, 1-g deceleration due to parachute recovery and a 4.5-g maximum aerodynamic loading where trimmed flight wing6 American Institute of Aeronautics and Astronautics loading results from the Vortex Lattice Method (VLM) analyses are scaled by 4.5 and distributed on the FE model. Figure 6 shows the vortex lattice model that was used to calculate the aerodynamic loads on the aircraft. Figure 6. Vortex Lattice Model Used to Calculate Aeroedynamic Loads Since the required scaled maximum takeoff weight is quite high for the test point (204.5 lb), the first RPV has room to be structurally overbuilt. Once testing is complete on the Rigid RPV, structural optimization will be performed to save weight for the second, aeroelastically scaled RPV. All bulkheads and ribs are assigned material properties of woven 0o/90o s-glass/epoxy laminate with 0.12 in thickness. Spars are assigned properties of unidirectional carbon/epoxy with a thickness of 0.39 in for forward spars and 0.20 in for rear and boom spars. All skin material consists of 0.08 in of 0o/90o s-glass placed at a 45o bias along the span. Parts are sized such that a minimum safety factor of 2 is maintained to account for uncertainties in manufacturing. Future structural testing of finished rigid RPV components may lead to structural optimization to save weight; however, minimizing structural weight is not a driving design consideration as ballast is needed to achieve the high test point weight. When designing the detailed parts in the computer aided design (CAD) environment, special attention is paid to the ease of construction and assembly. All rib and spar elements are planar and can be machined from laminate sheets using a CNC router table. When possible, locating features are built into the parts themselves. For instance, all of the bulkhead pieces have grooves designed into them so they interlock, making the structure stronger and easier to assemble, as shown in Figure 7. In addition to the detailed parts themselves, special tooling (such as jigs for building the wing assembly) have been designed. This will greatly speed up the construction process and improve the accuracy of the overall aircraft geometry. Figure 7. Exploded View of Fuselage Bulkheads 7 American Institute of Aeronautics and Astronautics C. Aeroelastic Scaling Once testing of the Rigid RPV is complete, the next step is to fabricate and test an aeroelastically scaled model (refered to as Aeroelastically Scaled RPV for remainder of the paper). Aeroelastic scaling for a flight model is a difficult task, and it presents numerous challenges over scaling of a wind tunnel model including structural discontinuities (wing joints, access panels, etc.), added masses due to supporting systems and space considerations for components and fuel. All of these considerations must be included while still ensuring an accurate aeroelastic response. The most accurate method for matching the full scale JWSC mass and stiffness distributions is to simply scale down the exact geometry. Unfortunately, this is not practical in the case of the JWSC for several reasons. For one, the exact internal structure has not been released. In addition, manufacture of scaled components may be very expensive and in some cases impossible due to their small resulting sizes. Accordingly, an alternative method for matching the model’s mass and stiffness distribution to that of the full scale aircraft has been developed. The mass and stiffness distributions are not available to directly define the structural properties of the SensorCraft; however, mass normalized modal shapes and natural frequencies of the aircraft are given. From the governing linear elasticity equations it can be shown that any model with the same scaled mass and stiffness distribution, over the same scaled geometry, will result in the same modal shapes and frequencies as those of the full sized aircraft (after appropriate scaling). Additionally, if the aerodynamics correspond then the aeroelastic response will be equivalent. By designing a model with similar modal response (mode shapes and scaled frequencies) to the full scale aircraft, similarity of the mass and stiffness distributions are achieved independently of internal structure. This allows a simplified internal structure to be employed. The requirements of the structure are to allow a proper stiffness distribution while still fitting into available space, as well as not using up too much of the available mass. Once this is achieved, concentrated masses are added to attain the desired mass distribution. The scaling process employed is similar to that performed in the previous work 6-10. This method is applied to the joined wing using an optimization framework shown in Figure 8 below which is built using Phoenix Integration’s Model Center 9.0 Software. Figure 8. Optimization Framework for Mode-Shape Matching Figure 8 shows two separate routines, the first involves matching a set of scaled deflections due to a known load, in order to achieve the desired stiffness distribution. The second routine tunes the mass distribution, of the stiffness matched model, by tuning a distributed set of point masses placed throughout the structure. Figure 9 below shows preliminary results of the process applied to the joined wing to match the first six mode shapes of the baseline aircraft using a low fidelity, one dimensional beam FE model. The model, which was created for use the Nonlinear Aeroelastic Simulation Toolbox (NAST11), is shown in Figure 10. The goal of using this preliminary, 8 American Institute of Aeronautics and Astronautics low fidelity model, is to get an initial approximation of the structural properties that serves as a starting point for subsequent optimizations of higher fidelity models. Figure 9. Comparison of Baseline Modal Results (Points) and Results of Optimized Beam Model (Lines) Figure 10. Beam Model Used for Initial Scaling Study Further work is being performed to apply these methods using a higher fidelity, FE model similar to that shown in Figure 11. a) b) Figure 11. a) Full Scale Aircraft Response and b) Matched Reduced Scale Displacements VI. Propulsion The following section outlines the process for determining the required thrust, specifying suitable engines and integrating them into the aircraft. A brief description of several challenges are also discussed including the high fuel weight required and its effect on stability. A. Engine Sizing Engine selection and sizing is performed based on the military specifications for stall speed, take off distance and climb requirements (MIL-C5011A). These calculations use aircraft drag polar data obtained through wind tunnel tests performed at NASA Langley on a 12ft span model 3. The maximum required thrust of approximately 90lb calls for the use of two JetCat P200 Turbine Engines embedded within the fuselage. Using the experimental drag data and manufacturer’s fuel consumption data for the chosen engines, a typical mission, as shown in Figure 12, uses approximately 46 lbs of fuel12. 9 American Institute of Aeronautics and Astronautics Figure 12. Typical Flight Test Mission Profile In order to simplify the design of the aeroelastic equivalent aircraft, no fuel will be stored in the wings. This requires that the main fuel compartments be placed in the fuselage as far aft as possible in order to have minimal impact on the center of gravity (CG) location throughout flight (the CG location required for stability is located near the rear of the center-body as shown in Figure 13 below). While the aircraft is capable of carrying more than the 21 kg of fuel, the location of the tanks in the center-body limits the fuel weight that can be stored without affecting the overall desired mass distribution. If too much of the payload weight were added in fuel (contained in the centerbody), there would be insufficient mass left to distribute throughout the aircraft’s wings in the form of tuning masses (required to have proper mass distribution for equivalent aeroelastic response). Figure 13. Final Component Space Reservations In any flight test situation the goal is to maximize the time on station in order to gather the largest amount of data possible while minimizing the risk posed during takeoff and landing. An additional challenge posed by a remotely piloted vehicle is in the positioning of the aircraft on station for gathering meaningful data while still allowing the pilot the appropriate line of sight. The relatively high specific fuel consumption of JetCat turbine engines poses a large challenge for the above reasons as well as the added weight and CG shift. Future work is planned that will investigate these effects using a series of bench tests of the engines as well as a flight simulator testing. B. Other considerations The inlet and hot gas passages within the fuselage have been directly scaled for the RPV with the exception of a slight narrowing of the section around the turbines. This portion has been narrowed to create the required 0.75 in 10 American Institute of Aeronautics and Astronautics clearance around its perimeter of each turbine to allow air passage for cooling. Figure 14 shows a cross section of the modified fuselage ducting. Figure 14. Fuselage Cross-section Showing Inlet and Exhaust Routing The engine is placed near the rear of the pass-through for two reasons. The first is to directly route the hot exhaust out the fuselage minimizing heat transfer, and the other reason is to increase the cooling airflow around the engine. Placing the engine at the point where the duct begins to constrict sets up a venturi effect which helps to draw cooling air around the outside of the engine. This is especially important when the aircraft is stationary, as in taxi and startup. Due to the danger posed by ingesting foreign objects into the turbine, mesh strainer screen is placed across the inlet to the fan opening as shown below. Filter Screen Figure 15. Strainer Screen to Prevent Ingestion of Debris VII. Stability and Control A detailed analysis of joined wing flight dynamic stability has been performed using High Angle of Attack Stability and Control software (HASC13) and Athena Vortex Lattice code (AVL14) models. These initial investigations were performed to determine aerodynamic coefficients and static stability characteristics. These, along with the scaled aircraft moments of inertia, were used to determine overall dynamic stability. Results are graded using Military Specifications for Flying Qualities (MIL-F-8785C) and show that while most of the flight modes display good (level I) flying qualities, the Phugoid mode has marginal (level II) qualities while the Dutch roll mode is worse still, being slightly unstable. (see Figure 16). An additional area of concern is a potential lack of yaw control authority as the present configuration does not have a rudder surface. 11 American Institute of Aeronautics and Astronautics Figure 16. Plot Showing Stability Modes for Baseline Configuration In order to address these challenges, three proposed modifications to the initial prototype are being investigated. The first solution, depicted in Figure 17a, involves the addition of a vertical tail surface aft of the tail boom which is fitted with a control surface. Figure 17b shows the addition of a conventional tail boom to the initial flight test article. This would add additional pitch authority from an elevator surface mounted to the new horizontal surface, while also adding the of the vertical tail. The final solution, shown in Figure 17c, involves scheduling the existing surfaces such that they offer a degree of yaw authority. One proposed control surface schedule includes the mixing of differential deflection on the outboard ailerons and outboard elevators creating a “split flap” type effect for yaw control; however, the use of half of the elevator as a yaw control device could lead to unsatisfactory pitch control. A second proposed control surface schedule includes the mixing of differential deflection on the outboard ailerons and inboard ailerons. While this scheduling would create improved yaw control authority, roll authority comes into question during high sideslip maneuvers. a) b) c) Figure 17. Proposed Modifications for Increased Stability/Yaw Authority HASC and AVL analyses of the first two modifications (a and b above) show an improvement in overall dynamic stability. Both configurations result in improved Dutch roll mode stability (Level II) while the second configuration also results in a slight improvement in the phugoid mode (but still Level II). In addition, both configurations result in acceptable levels of yaw authority. Of the three modifications, the third configuration is the most desirable since the external aerodynamics, and therefore aeroelastic response, is not affected; however, as mentioned above, the use of the ailerons and/or outboard elevators for yaw control could result in diminished pitch and/or roll control authority. Efforts are being carried out to investigate potential control surface schedules using flight simulators (see Section VIII for more information). In addition to simulation, three reduced complexity JWSC RPV models are being created to experimentally validate proposed control surface schedules. Each aircraft is of increasing complexity and better represents the actual aircraft geometry. The two completed models are shown in Figure 18 below (see Section IX and the Appendix for more information regarding the reduce complexity models and current testing). 12 American Institute of Aeronautics and Astronautics Figure 18. Reduced Complexity Models used for Investigation of Stability and Control VIII. Simulation Simulation for the JWSC FTP is broken into three categories: 6 Degree of Freedom (DoF) flight simulation, hardware in the loop simulation and pilot training. Each category is described in the following section. C. 6 Degree of Freedom Flight Simulation The 6 DoF simulator currently in use is based on the Matlab Aerospace Blockset and the Unmanned Dynamics Aerosim v1.2 Blockset15. The simulator models the aircraft using a set of first order terms. The model is been altered to allow non-linear aerodynamics to be modeled through the use of multi-dimensional lookup tables. This allows coefficients to be input for various angles of attack and sideslip angles. A parametric model is developed using Phoenix Integration’s Model Center Software (MC) 16. This model includes the vortex lattice software, AVL14. The MC model runs the AVL analysis through an array of angle of attack and sideslip values. It then parses all the output data and compiles the coefficient arrays into a Matlab m-file. This resulting m-file is in a format that is required by the simulator to initialize an aircraft model. The end result is that when modifications are made to the aircraft’s configuration, the new aerodynamics will be simulated in the flight simulator in a matter of minutes. This will allow rapid investigation of design changes by both the engineer and the pilot. The simulator calculates the aircraft states and then outputs this to an open source flight simulator, FlightGear for visualization15. A custom block has also been created and incorporated that allows the pilot to control the aircraft using a standard radio controlled (R/C) transmitter attached to the computer through the “training” port. Figure 19 shows a typical flight simulation with the Simulink model, custom gauges and FlightGear all running simultaneously. Figure 19. 6 Degree of Freedom Flight Simulator D. Hardware in the Loop Simulation The simulator is taken one step further as a hardware in the loop setup has recently been acquired that allows the aircraft autopilot to be incorporated into the simulation. The Micropilot 2128 THWIL (True Hardware In the Loop) system uses data acquisition hardware to interface the 2128 autopilot within the simulation. The hardware in the loop setup electrically stimulates all sensor outputs using analog to digital conversion, signal conditioning and pulsewidth-modulation boards. This allows a higher level of fidelity by more closely replicating in-flight conditions while 13 American Institute of Aeronautics and Astronautics on the ground. Micropilot supplies their own Simulink model to achieve this, but this has been modified to replace their physics model with the one developed by the authors. E. Pilot Training in RealFlight G5 The unique configuration and flight characteristics of the JWSC makes flying the RPV a challenge for even the most experienced pilots. The 6 DoF simulator previously discussed addresses this problem by allowing the pilot to fly the simulator using a conventional R/C transmitter. Unfortunately, a gap between the simulation and reality still exists because the FlightGear visualization program was designed for manned aircraft simulation, and accordingly the flying sites and pilot spawn locations (where the user can view the aircraft from) are not ideal for RPV flight simulation. In order to address these problems and further reduce the gap between simulation and RPV flight, a model was created for use in RealFlight G5, the most advanced R/C flight simulator in Knife Edge Software’s widely used R/C flight simulator line17. A screenshot of the JWSC RPV in flight in RealFlight G5 is shown in Figure 20. Figure 20. Screenshot from RealFlight G5 As RealFlight G5 was designed with an R/C pilot and modeler in mind, it offers the ability to rapidly modify aircraft configurations including the incorporation of hundreds of pre-programmed, commercially available R/C components such as servos, motors, propellers, Electric Ducted Fans (EDFs), turbines, etc. Accordingly, RealFlight provides an ideal first look into the feasibility and applicability of proposed changes to the RPV and its components. Additionally, the photo-realistic recreation of R/C flight is a valuable tool when designing and preparing for the Rigid RPV and Aeroelastically Scaled RPV flight test programs. Unfortunately, the 6 DoF physics model used in the RealFlight G5 software is proprietary and currently unavailable, and accordingly all in flight responses of the JWSC RPV are also tested using the 6 DoF simulator. IX. Flight Testing Flight Testing of the JWSC presents two unique but interlinked goals. The first goal is that both the Rigid RPV and the Aeroelastically Scaled RPV are flown safely, and successfully through all required flight test maneuvers. The unconventional configuration and control surface layout of the JWSC, coupled with the large scale and complexity of the RPVs make this a significant challenge. The second goal is that all data required to validate the aeroelastic scaling and measure the non-linear, post-buckled aeroelastic response is successfully acquired during the FTPs. The design and testing of an instrumentation system for each FTP as well as the incorporation of these systems into each RPV present another challenge. At the onset of this program, it was decided to initially address each of the above mentioned goals individually through the use of reduced complexity flight tests. These tests, which include the fabrication and flying of sub-scale JWSC models for configuration testing as well the use of conventional “trainer” style, high wing aircraft for instrumentation testing, allow for an incremental increase in complexity. The overall aim is to merge the lessons 14 American Institute of Aeronautics and Astronautics learned from both the configuration and instrumentation/ data collection testing into the final RPV, thereby increasing the chances of a safe and successful FTP. In addition, preliminary flight testing allows for the pilot’s perspective to be included in the design and optimization of the RPV. A. Reduced Complexity JWSC Models This section details current progress in the series of three reduced complexity JWSC models. The purpose of each model is presented along with important design characteristics. For more details on these models, including complete design specifications and pictures see the Appendix. 1. Flat Plate Foamie The first sub-scale model created is a reduced scale (b=66 in) flat plate foam aircraft with a flying weight of 2.2 lbs. This aircraft is designed to serve as an experimental platform to test and validate proposed control schemes as well as address the yaw stability and control authority questions. The model, shown in flight in Figure 21, is constructed of 0.25 inch flat extruded polystyrene fanfold insulation underlayment board with carbon fiber arrow shaft spars. The streamer shown in Figure 21 is added to aid the pilot in referencing the aircraft during flight. The unique, diamond shape of the JWSC proved to be difficult to track, especially during turns, due to the similarities between the profile of the aircraft from the front and side when viewed from a distance. Figure 21. Flat Plate Foamie in flight during a flight test. When designing the model, a balance was struck between the simplicity and operability of the model and the desired accuracy of the representation of the flight dynamics of the full scale RPV. The reduced scale features dihedral, anhedral and sweep angles representative of the full scale geometry; however, the camber and complex spanwise twist distribution present in fore and aft wings was omitted due to the selected material. Additionally, the turbine propulsion system was replaced with a simplified, high thrust-to-weight ratio propeller setup for ease of operation and maintenance. Finally, the laminar flow airfoils selected for the full scale RPV are replaced by flat plates due to the small scale of the model and the chosen materials. A series of flight tests were completed to first establish an acceptable CG location for the model and trim the aircraft. Once this was completed, remaining flight tests were used to test the proposed control surface layout for the model, shown in Figure 22, assess control authority, investigate yaw stability and gain pilot experience flying a joined wing aircraft. These flight tests yielded several results. The first and most important result is that the aircraft was able to maintain stable, controlled flight with the proposed control surface layout. Yaw control authority is minimal; however, this is not a problem for controlled flight. One major problem encountered was the sensitivity of the aircraft to the thrust line of the motor. Approximately eight degrees of declination is required on the motor mount to allow for stable, level flight. Without this declined thrust line, the aircraft pitches up oncontrollably when power is applied. A second major problem is the large angle of attack required to maintain level flight and the tendency of the aircraft to tip stall in sharp turns. This second problem was primarily caused by the low flight speed afforded by the propulsion setup chosen for this model, but the absence of the spanwise twist distribution could have also played a large factor. 15 American Institute of Aeronautics and Astronautics Elevtor Aileron Rudder Flaperon Figure 22. Control surface layout for Flat Plate Foamie In summary, the Flat Plate Foamie provides a simple, first attempt at flying a JWSC model. The lessons learned and the problems encountered were used to design and test the second model, the EDF Twist Corrected Foamie. 2. EDF Twist Corrected Foamie The second sub-scale model created, the EDF Twist Corrected Foamie, was designed and built to correct the shortcomings of the Flat Plate Foamie. The model, shown in flight in Figure 23, is constructed of extruded polystyrene foam wrapped in fiberglass with unicarbon strips to provide stiffness to the lifting surfaces. When designing the model, the two primary goals were to include the proper twist distribution in both the fore and aft wings and to include an EDF propulsion system. Figure 23. EDF Twist Corrected Foamie in flight during a flight test. Preliminary flight testing has shown a marked improvement over the Flat Plate Foamie. As with the Flat Plate Foamie, the aircraft is able to maintain stable, controlled flight with the chosen control surface layout. Yaw control authority is minimal; however, this does not prove to be a problem for controlled flight. The pilot commented that the rudder is not required for acceptable handiling qualities; however, the necessity of the surface in a crosswind landing situation is still in question. The EDF propulsion system created two positive results. The first is higher flight speeds than with the Flat Plate Foamie, and accordingly the danger of tip stalling in turns is greatly reduced. The pilot commented that as long as the aircraft maintains speed through turns and long shallow turns were taken as opposed to abrupt high bank angle maneuvers, the aircraft behaves favorably with predictable behavior. The second positive result of the EDF propulsion system is the removal of the necessity for a declined thrust line. Moving the propulsion system to the 16 American Institute of Aeronautics and Astronautics center of gravity as well as the inclusion of the proper twist on the fuselage and aft wings corrected the pitch up tendency of the Flat Plate Foamie. One major problem that was encountered was the sensitivity of the aircraft to pitch up and lose control at low speeds just after takeoff. Upon launch (which for this aircraft is a hand launch), pitch input resultes in a sharp nose up tendency, which may blanket the aft wing control surfaces or cause the aft wing to stall. Even with the application of power and down elevator input, the aircraft is unable to recover from this attitude. This problem is easily avoided by waiting for the aircraft to accelerate while flying level before trying to climb; however, it brings calculated rotation speed and takeoff speed into question. Future testing will include the incorporation of various landing gear configurations to test takeoff conditions. 3. Mini SensorCraft The final iteration of the reduced complexity flight tests consists of a directly scaled, 37.5% model of the JWSC RPV (b=73 in) powered by twin 2.75 in diameter EDFs. To create this model, the female molds created for the full scale RPV are scaled to 37.5% of the RPV mold size. By using these molds, the outer mold line of the Mini SensorCraft will be identical to that of the full scale RPV, thus providing the best reduced-scale model possible. The molds are currently being machined for the Mini SensorCraft, and fabrication will be started immediately upon the completion of the molds. For more details on the Mini SensorCraft and the proposed design, see the Appendix. B. Instrumentation/ Data Collection Testing In addition to the three reduced complexity JWSC models for configuration testing, instrumentation and data collection testing is being completed using a commercial “trainer” style, high wing aircraft. The Senior Telemaster, shown in Figure 24 is an extremely effective trainer with docile flying qualities. The large size (94 in wingspan) allows sufficient payload capacity for the autopilot, onboard instrumentation and an oversized fuel tank. Figure 24. Senior Telemaster Trainer Used For Instrumentation and Data Collection The autopilot that is being tested is a MicroPilot 2128LRC dual modem system. By using an autopilot as the primary datalogging and data acquisition system on board of the aircraft, many key sensors are already integrated into a convenient package. Aircraft altitude, attitude, airspeed, groundspeed and servo commands (servo deflections) are just several of the key parameters that the MicroPilot is able to log. The MicroPilot also has built in gyros/accelerometers which allow for the incorporation of stability augmentation, if this is deemed necessary for the JWSC. Finally, the MicroPilot also incorporates a backup transmitter in the event of signal loss between the pilot and the aircraft on the primary transmitter. Flight testing to date has included data logging and reduction, video overlay and camera stabilization as well as autonomous operation and stability augmentation. Current tests focus on development and optimization of flight test procedures including flight maneuver testing and custom instrumentation integration and testing. A flyover during an instrumentation flight test is shown in Figure 25 and the ground station used for flight test operations is shown in Figure 26. 17 American Institute of Aeronautics and Astronautics Figure 25. Senior Telemaster in flight during an instrumentation flight test Figure 26. Ground station used for data collection C. Proposed Rigid Flight Test Program The results from the reduced complexity flight tests and the instrumentation and data collection flight tests will be used to plan the rigid FTP. The goal is to have the lessons learned from all of the preliminary flight testing promote a safe and successful flight test program for the full scale Rigid RPV. The Rigid RPV FTP, for the airworthiness program, will begin with ground tests to ensure all instrumentation and the onboard control system are functioning correctly. This will include static structural loadings to validate structural design and a bifilar pendulum test to validate scaled moments of inertia. This will lead into taxi tests and eventually short “trimming” flights to ensure that the aircraft has satisfactory stability and adequate control in roll, pitch and yaw. The final phase of the Rigid RPV FTP will consist of maneuvering and dynamic characterization. The overall goal of the Rigid RPV FTP is to validate the flightworthiness of the aircraft, test the onboard instrumentation system, gain pilot experience and lay the groundwork for the future Aeroelastically Scaled RPV FTP. D. Proposed Aeroelastic Scaled Flight Test Program The Aeroelastically Scaled RPV FTP, for the aeroelastic response program, will begin with ground tests to ensure all instrumentation and the onboard control system are functioning correctly. This will include the same static structural loading and bifilar pendulum tests that were used in the Rigid RPV FTP, but will expand to include ground vibration testing to validate the matched mode shapes. The initial flights will be identical to those in the Rigid RPV FTP including taxi tests and short “trimming” flights. The final phase of the Aeroelastically Scaled RPV FTP will include the high risk maneuvers including control surface excitation for low frequency aeroelastic response, an on-board excitation system for high frequency response (if needed), and wind-up turns for static nonlinear aeroelastic response. X. Conclusion The aeroelastic scaling and flight testing of a 1/9th scale JWSC is the topic of an ongoing international collaboration between Virginia Tech and The University of Victoria (Canada). A multi staged flight test program has been adopted which involves the fabrication and testing of a series of aircraft with increasing complexity. This paper has outlined the development of this program including the design of the Rigid RPV, the testing of an autopilot system using a commercially available R/C trainer, two reduced complexity JWSC models and numerous flight simulators. Future work involves the fabrication and testing of a reduced scale, Mini Sensorcraft as well as the 1/9th scale Rigid RPV. Upon the completion of the FTP for the Rigid RPV , the airframe will be modified with flexible, aeroelastically scaled fore/aft wings and boom to produce the Aeroelastically Scaled RPV. This program will culminate with the flight testing of the Aeroelastically Scaled RPV. 18 American Institute of Aeronautics and Astronautics Appendix This appendix serves as a reference on each of the six aircraft involved in this study. Photographs (or CAD renderings) each aircraft are presented along with design specifications and a description of key design features. A. Senior Telemaster Figure A-1. Senior Telemaster Used For Development of Autopilot and Instrumentation Systems Figure A-2. Senior Telemaster During Autonomous Flight Description Due to the unconventional configuration and unknown flying qualities of the JWSC, provisions for an autopilot are included to allow for stability augmentation. In addition, the autopilot allows for safety features such as an electronic fence, return to home and the ability to release a parachute etc. In addition, the autopilot offers a convenient way to both log and send telemetry of the aircraft states in real time as well as offering 16 analog to digital inputs for items such as rpm sensors, strain gauges etc. Before integrating and operating the autopilot within the JWSC, it was decided to test the setup using a commercially available trainer. The Senior Telemaster exhibits docile flying characteristics while offering sufficient cargo space and payload carrying capabilities. Flights have been performed under both manual and autonomous modes and a basic flight test program performed in order to characterize the aircraft and tune the PID control loops. Future tests will include the testing of instrumentation systems that are slated for the Rigid RPV and Aeroelastically Scaled RPV flight test programs. Figure A-3. Mobile Command Center Senior Telemaster Specifications General Span Length Wing Area TOGW Construction Airframe Stiffeners Propulsion Engine Propeller Thrust Other Stability Augmentation Telemetry Other 19 American Institute of Aeronautics and Astronautics 94 in 64 in 1330 in2 19 lbs Balsa/Monokote Carbon Fiber reinforcements Saito 1.8 ci 4-stroke APC 16 x 8 14 lbs Micropilot 2128LRC Autopilot Aircraft states Onboard video with telemetry overlay, stabilized camera gimbal B. Flat Plate Foamie Figure A-4. Flat Plate Foamie Figure A-5. Underside of Aircraft Highlighting Carbon Fiber Stiffeners Description The Flat Plate Foamie, shown in in Fig. A-4, represents the lowest complexity model of the JWSC used in this program, and also the first to be designed and flown. When designing the model, a balance was struck between the simplicity and operability of the model and the desired accuracy of the representation of the flight dynamics of the full scale RPV. The Flat Plate Foamie features a flat plate, extruded polystyrene airframe stiffened with carbon fiber arrow shafts, as shown in Fig. A-5. Dihedral, anhedral and sweep angles match full scale geometry; however, the complex spanwise twist distribution present in fore and aft wings was omitted as this was impossible to replicate with commercially available fanfold foam without the inclusion of custom, composite stiffeners. Additionally, the turbine propulsion system was replaced with a simplified, high thrust to weight ratio propeller setup for ease of operation and maintenance. Figure A-6 shows the Flat Plate Foamie in flight during a flight test. Figure A-6. Flat Plate Foamie in Flight Flat Plate Foamie Specifications General Length Span TOGW Construction Airframe Stiffeners Control Transmitter Reciever Servos Propulsion Motor ESC Propeller Battery 20 American Institute of Aeronautics and Astronautics 42.25 in 66 in 2.2 lbs 0.25 inch extruded polystyrene Carbon Fiber arrow shafts Futaba T10CAP Futaba R319DPS 7 x Hextronik HXT 900 TowerPro BM2409-18T TowerPro MAG8 25 Amp GWS 10 x 4.7 Turnigy 1000mAh 3 Cell LiPo C. EDF Twist Corrected Foamie Figure A-7. EDF Twist Corrected Foamie Figure A-8. Aft Wing in Jig Under Vaccum to Create Spanwise Twist Distribution Description The EDF Twist Corrected Foamie, shown in Fig. A-7, represents a marked improvement over the Flat Plate Foamie. As with the Flat Plate Foamie, dihedral, anhedral and sweep angles are representative of the full scale geometry; however, for the EDF Twist Corrected Foamie the airframe is fabricated using extruded polystyrene wrapped in a fiberglass/ expoxy composite with unicarbon strips are used as stiffeners in the lifting surfaces and tail boom. Wing jigs, such as the one shown in Fig. A-8 and Fig. A-9, were used to create the complex spanwise twist distribution present in fore and aft wings. A 2800 kV brushless outrunner motor spinning a 6 blade, 2.75 in diameter EDF was used to power this model. Figure B-4 presents the EDF Twist Corrected Foamie in flight. Figure A-9. EDF Twist Corrected Foamie in Flight EDF Twist Corrected Foamie Spec. General Length Span TOGW Construction Airframe Stiffeners Control Transmitter Reciever Servos Propulsion Motor ESC Propeller Battery 21 American Institute of Aeronautics and Astronautics 42.25 in 66 in 2.6 lbs 0.28 inch extruded polystyrene 3.2 oz/in2 fiberglass/epoxy composite Unicarbon strips JR 1221 JR 12X 7 x Hextronik HXT 900 2800 kV Brushless Outrunner 45 Amp 6 Blade, 2.75 in diameter Turnigy 2450 mAh 4 cell LiPo D. Mini Sensorcraft Figure A-10. Mini Sensorcraft Figure A-11. Relative Size of Mini Sensorcraft Compared to Rigid RPV Description The Mini Sensorcraft is similar in size to both the Foamie Sensorcraft and the Twist Corrected Foamie but employs the exact outer mould line of the full scale aircraft, including accurate airfoils and twist distribution. This variant will be the most accurate reduced complexity model before the final Rigid RPV and Aeroelastically Scaled RPV. The aircraft will be fabricated using CNC machined female moulds. The outer skin will consist of carbon/epoxy composites and two part polyurethane foam will be expanded within the fuselage and wings. The aircraft will use two 2800 kV brushless outrunner motors spinning 6 blade, 2.75 in diameter EDFs in order to more accurately reproduce the scaled thrust to weight of the given test point. Additional testing of landing gear configurations, control surface scheduling, stall characteristics and aircraft trim will be determined through flight testing. Figure A-12. Assembly of Mini Sensorcraft Used for Glide Tests Mini SensorCraft Specifications General Length Span TOGW Test Point Construction Airframe Stiffeners Control Transmitter Reciever Servos Propulsion Motor ESC Propeller Battery 22 American Institute of Aeronautics and Astronautics 42.25 in 66 in 3.6 lbs (Estimated) 10.8 lbs 2 part PU foam core expanded into 3.2 oz/in2 fiberglass/epoxy composite skins Unicarbon JR 1221 JR 12X 7 x Hextronik HXT 900 2 x2800 kV Brushless Outrunner 2 x 45 Amp 2 x 6 Blade, 2.75 in diameter 2 x 2450 mAh 4 cell LiPo E. Rigid RPV Figure A-13. Internal Structure of Rigid RPV Figure A-14. Female Fuselage Moulds Figure A-15. Cross Section of Aft Wing Description The Rigid RPV is a 1/9th scale prototype of the JWSC. All external geometry is preserved along with the overall scaled mass and moments of inertia. The structure consists of a main fuselage or center body made up of a carbon/epoxy skin stiffened with a series of laminate bulkheads. The fuselage fabricated using a set of CNC machined moulds as shown in Figure A-14 above. The fuselage has space reservations for all avionics, upwards of 40lb of fuels, two turbine engines and possibly retractable landing gear. The forward wings consist of a CNC molded composite skin with conventional rib and spar internal structure. The wing box consists of a fore and aft shear web connecting the spar caps consisting of uni directional carbon. The main wing is attached to the fuselage using two carbon wing joiner tubes with a similar system used to join the fore/aft wings. The rear wings are constructed using a foam core with a fore and aft composite shear web connecting top and bottom uni-carbon spar caps (see Figure A-15). The internals consist of a conventional rib and spar structure with the outer skin being constructed using CNC machined female moulds. While not aeroelastically equivalent to the full scale aircraft, the Rigid RPV plays a critical role in the flight test program. It serves as an important stepping stone towards the final aircraft, one which allows the authors to determine and test required supporting systems while also training pilots and other support crew. Rigid RPV Specifications General Span Length Wing Area TOGW Construction Airframe Scaling Propulsion Engine Thrust Other Stability Augmentation Telemetry Other 23 American Institute of Aeronautics and Astronautics 16.4 ft 10.6 ft 15.0 ft2 205 lbs Carbon/ epoxy composite buildup Exact geometry (OML), rigid body dynamics, aerodynamics 2 x JetCat P200sx 104 lbs MicroPilot 2128LRC Aircraft states, engine monitoring, fuel flow, strain gage measurement On board video with telemetry overlay, parachute recovery system F. Aeroelastically Scaled RPV Figure A-16. Aeroelastically Scaled RPV Description The Aeroelastically Scaled RPV is the final aircraft and will involve re-winging the fuselage of the Rigid RPV with aeroelastically equivalent fore/aft wings and boom. However, additional work is required to redistribute weight in the fuselage in order to achieve the overall required mass distribution of the aircraft. The goal of the aeroelastically flight testing stage is to determine validate the scaling work and therefore instrumentation is required to measure mode shapes and frequencies on the ground as well as in flight. This testing will involve instrumenting the wing for initial ground vibration tests as well as data logging and telemetry in flight. Several methods are being considered for in flight measurements including stereoscopic cameras to record wing deflections. Aeroelastically Scaled RPV Specifications General Span Length Wing Area TOGW Construction Airframe Scaling Propulsion Engine Thrust Other Stability Augmentation Telemetry Other 24 American Institute of Aeronautics and Astronautics 16.4 ft 10.6 ft 15.0 ft2 205 lbs Carbon/ epoxy composite buildup Linear aeroelastic equivalence 2 x JetCat P200sx 104 lbs MicroPilot 2128LRC Aircraft states, engine monitoring, fuel flow, strain gage measurement, structural deformations On board video with telemetry overlay, parachute recovery system, stereoscopic camera system for measuring wing deflection Acknowledgments AFRL funding, the support of MSTC Director, Dr. Raymond Kolonay, project managers Dr. Ned Lindsley, Dr. Max Blair, and Dr. Pete Flick is gratefully acknowledged as is the guidance and support of Dr. Craig Woolsey, Dr. Rakesh Kapania, the Virginia Tech CCMS and José Costa. References 1 Blair, M., Canfield, R. A., and Roberts Jr., W., “Joined-Wing Aeroelastic Design with Geometric Nonlinearity,” Journal of Aircraft, Vol.42, No.4, 2005, pp. 832-848. 2 Bond, V., “Flexible Twist for Pitch Control in a High Altitude Long Endurance Aircraft with Nonlinear Response,” Ph.D. Dissertation Prospectus, Department of the Air Force, Air Force Institute of Technology, Wright-Patterson AFB, Dayton, OH, 2007. 3 The Boeing Company. “Selected Results from Test of Model on Sting”, Presentation Excerpts, NASA Langley, Hampton VA, slides 2-5. 4 Lucia, David J., “The SensorCraft Configurations: A Non-Linear AeroServoElastic Challenge for Aviation,” AIAA Paper 2005-1943, 2005. 5 Roberts, R. W., Jr., Canfield, R. A., and Blair, M., “Sensor-Craft Structural Optimization and Analytical Certification,” AIAA Paper 2003-1458, April 2003. 6 Pereira, P., Almeida, L., Suleman, A., Canfield, R., Bond, V., and Blair, M., “Aeroelastic Scaling and Optimization of a Joined-Wing Aircraft,” AIAA Paper 2007-1889, April 2007. 7 Blair, M., Garmann, D., Canfield, R., Bond, V., Pereira, P., and Suleman, A., “Non-Linear Aeroelastic Scaling of a JoinedWing Concept,” AIAA Paper 2007-1887, April 2007. 8 Bond, V. L., Canfield, R. A., Cooper, J., and Blair, M., “Scaling for a Static Nonlinear Response of a Joined-Wing Aircraft,” AIAA Paper 2008-5849, September 2008. 9 Bond, V. L., Canfield, R. A., Suleman, A., and Blair, M., “Aeroelastic Scaling for Verification and Evaluation of Geometric Nonlinearity on a Joined-Wing Aircraft Model,” AIAA Paper 2008-6073, September 2008. 10 Richards, J., Suleman, A., Canfield, R., and Blair, M., “Design of a Scaled RPV for Investigation of Gust Response of Joined-Wing Sensorcraft,” AIAA Paper 2009-2218, May 2009. 11 Cesnik, C., Shearer, C. and Su,W., Nonlinear Aeroelastic Simulation Toolbox (NAST) [Software], version NAST-R2-0209-2008, 2008. 12 Jetcat Model Engines Germany, Jetcat Products/Turbojets/P200, http://jetcat.de/jetcatturbinen/strahlturbinen.htm, 2009. 13 NASA Langley Research Center, High Angle of Attack Stability and Control 95 [Software], Version 95, 1995 14 Drela, M. and Youngren, H., Athena Vortex Lattice (AVL) [Software], http://web.mit.edu/drela/Public/web/avl/ , version 3.27 ed., 2009. 15 Unmanned Dynamics, LLC, Aerosim Blockset [Software], version 1.2 ed, 2004 16 Phoenix Integration, Model Center [Software], Version 9.0, http://www.phoenix-int.com/software/phx_modelcenter.php, 2008. 17 Flight Gear Flight Simulator [Software], Version 2.0, http://www.flightgear.org, 2008. 25 American Institute of Aeronautics and Astronautics