A Sensitivity Investigation on the Aeroelastic Dynamic Stability of Slender Spinning Sounding Rockets

Silva, Roberto Gil Annes da; Damilano, José Guido; Azevedo, João Luiz F.

doi:10.5028/jatm.v5i1.192

ABSTRACT:

The present work addresses a sensitivity analysis investigation of the aeroelastic stability margins for the VSB-30 sounding rocket during the atmospheric flight phase. Parametric stability analyses are performed considering variations of the inertia properties of the modular payload. Such variations can be caused by different type and/or number of experiments (payload modules). The aerodynamic model is based on a supersonic unsteady potential aerodynamic method. Freestream conditions depend on the flight speed and atmosphere. An equivalent structural dynamic model of the rocket is represented by a beam-like structure. The objective of this investigation is to establish an aeroelastic model for aeroelastic stability and response analyses, as well as a procedure for the identification of stability margins for rockets. The resulting aeroelastic model should be further used in MDO processes for the improvement of the vehicle flight performance. The results of the present effort indicate that the flutter behavior of the VSB-30 sounding rocket is sufficiently robust inside the operational envelope, even considering the environmental and loading conditions. The spinning effect, in this case, does not play a significant role, because the flutter margins remain almost unaltered with and without VSB-30 body spin.

KEYWORDS:
Sounding rockets; Aeroelastic analysis; Flutter margins; Sensitivity studies

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REFERENCES

Azevedo, J.L.F., 1988, "Transonic Aeroelastic Analysis of Launch Vehicle Configurations," NASA CR - 4186.
Bae, J.S., Kim, D.K., Shih, W.H., Lee, I. and Kim, S.H., "Nonlinear Aeroelastic Analysis of a Deployable Missile Control Fin," Journal of Spacecraft and Rockets, Vol. 41, No. 2, pp. 264-271.
Chae, S., 2004, "Effect of Follower Forces on Aeroelastic Stability of Flexible Structures," Ph.D. Thesis, School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA.
Chae, S. and Hodges, D.H., 2003, "Dynamics and Aeroelastic Analysis of Missiles," 44th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Norfolk, VA.
Chen, P.C., 1999, "A Damping Perturbation Method for Flutter Solution: The g-Method," 2nd AIAA/CEAS International Forum on Aeroelasticity and Structural Dynamics, Williamsburg, VA.
Chen, P.C. and Liu, D.D., 1990, "Unsteady Supersonic Computation for Arbitrary Wing-Body Configuration Including External Stores," Journal of Aircraft, Vol. 27, No. 2, pp. 108-116.
Duarte, J.A.A., Damilano J.G., Almeida, F.E. and Odaguiri, P.K., 2005, "Flight Data Used on the Evaluation of the Acceptance Testing Specifications for the VSB-30 Sounding Rocket," Proceedings of the 17th ESA Symposium, Sandefjord, Norway.
Francesco Capri, F., Mastroddi, F. and Pizzicaroli, A., 2006, "Linearized Aeroelastic Analysis for a Launch Vehicle in Transonic Flight Conditions," Journal of Spacecraft and Rockets, Vol. 43, No. 1, pp. 92-104.
Garcia-Fogeda, P. and Liu, D.D., 1988, "Supersonic Aeroelastic Applications of Harmonic Potential Panel Method to Oscillating Flexible Bodies," Journal of Spacecraft and Rockets, Vol. 25, No. 4, pp. 271-277.
Haddadpour, H., 2006, "Aeroservoelastic Stability of Supersonic Slender-Body Flight Vehicles," Journal of Guidance, Control and Dynamics, Vol. 29, No. 6, pp. 1423-1427.
Heddadj, S. and Cayzac, R., 2000, "Aeroelasticity of High L/D Supersonic Bodies: Theoretical and Numerical Approach," 38th AIAA Aerospace Sciences Meeting & Exhibit, Reno, NV.
Liu, D.D., Yao, Z.X., Sarhaddi, D. and Chavez, F., 1997, "From Piston Theory to a Unified Hypersonic-Supersonic Lifting Surface Method," Journal of Aircraft, Vol. 34, No. 3, pp. 304-312.
Livshits, D.S., Yaniv, S. and Karpel, M., 1996, "Dynamic Stability of Free Flight Rockets," 37th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, Salt Lake City, UT.
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Paek, S.K., Bae, J.S. and Lee, I., 2002, "Flutter Analysis of a Wraparound Fin Projectile Considering Rolling Motion," Journal of Spacecraft and Rockets, Vol. 39, No. 1, pp. 66-72.
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Publication Dates

Publication in this collection
Jan-Mar 2013

History

Received
14 Nov 2012
Accepted
06 Feb 2013

This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

[1] Azevedo, J.L.F., 1988, "Transonic Aeroelastic Analysis of Launch Vehicle Configurations," NASA CR - 4186.

[2] Bae, J.S., Kim, D.K., Shih, W.H., Lee, I. and Kim, S.H., "Nonlinear Aeroelastic Analysis of a Deployable Missile Control Fin," Journal of Spacecraft and Rockets, Vol. 41, No. 2, pp. 264-271.

[3] Chae, S., 2004, "Effect of Follower Forces on Aeroelastic Stability of Flexible Structures," Ph.D. Thesis, School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA.

[4] Chae, S. and Hodges, D.H., 2003, "Dynamics and Aeroelastic Analysis of Missiles," 44th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Norfolk, VA.

[5] Chen, P.C., 1999, "A Damping Perturbation Method for Flutter Solution: The g-Method," 2nd AIAA/CEAS International Forum on Aeroelasticity and Structural Dynamics, Williamsburg, VA.

[6] Chen, P.C. and Liu, D.D., 1990, "Unsteady Supersonic Computation for Arbitrary Wing-Body Configuration Including External Stores," Journal of Aircraft, Vol. 27, No. 2, pp. 108-116.

[7] Duarte, J.A.A., Damilano J.G., Almeida, F.E. and Odaguiri, P.K., 2005, "Flight Data Used on the Evaluation of the Acceptance Testing Specifications for the VSB-30 Sounding Rocket," Proceedings of the 17th ESA Symposium, Sandefjord, Norway.

[8] Francesco Capri, F., Mastroddi, F. and Pizzicaroli, A., 2006, "Linearized Aeroelastic Analysis for a Launch Vehicle in Transonic Flight Conditions," Journal of Spacecraft and Rockets, Vol. 43, No. 1, pp. 92-104.

[9] Garcia-Fogeda, P. and Liu, D.D., 1988, "Supersonic Aeroelastic Applications of Harmonic Potential Panel Method to Oscillating Flexible Bodies," Journal of Spacecraft and Rockets, Vol. 25, No. 4, pp. 271-277.

[10] Haddadpour, H., 2006, "Aeroservoelastic Stability of Supersonic Slender-Body Flight Vehicles," Journal of Guidance, Control and Dynamics, Vol. 29, No. 6, pp. 1423-1427.

[11] Heddadj, S. and Cayzac, R., 2000, "Aeroelasticity of High L/D Supersonic Bodies: Theoretical and Numerical Approach," 38th AIAA Aerospace Sciences Meeting & Exhibit, Reno, NV.

[12] Liu, D.D., Yao, Z.X., Sarhaddi, D. and Chavez, F., 1997, "From Piston Theory to a Unified Hypersonic-Supersonic Lifting Surface Method," Journal of Aircraft, Vol. 34, No. 3, pp. 304-312.

[13] Livshits, D.S., Yaniv, S. and Karpel, M., 1996, "Dynamic Stability of Free Flight Rockets," 37th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, Salt Lake City, UT.

[14] Martin, D.J., 1958, "Summary of Flutter Experiences as a Guide to the Preliminary Design of Lifting Surfaces on Missiles," NACA TN - 4197.

[15] McNamara, J.J. and Friedmann, P.P., 2006, "Aeroelastic and Aerothermoelastic Analysis of Hypersonic Vehicles: Current Status and Future Trends," AIAA Paper No. 2006-8058, 14th AIAA/AHI Space Planes and Hypersonic Systems and Technologies Conference, Canberra, Australia.

[16] Meyers, S.C., 1973, "Aeroelastic Analysis of Sounding Rocket Vehicles," AIAA Paper No. 73-284.

[17] MSC/NASTRAN, 1995, Software Package User´s Guide, V. 68.2, MacNeal-Schwendler Corporation, Los Angeles, CA.

[18] MSC/NASTRAN V70, 1995, Advanced Dynamics User´s Guide, MacNeal-Schwendler Corporation, Los Angeles, CA.

[19] Murphy, C.H. and Mermagen, W.H, 2001, "Flight Mechanics of an Elastic Symmetric Missile," Journal of Guidance, Control and Dynamics, Vol. 24, No. 6, pp. 1125-1132.

[20] Murphy, C.H. and Mermagen, W.H., 2005, "Aero-Elastic Motion of a Spin-Stabilized Projectile," ARL-TR-3453, Aberdeen Proving Ground, MD.

[21] Paek, S.K., Bae, J.S. and Lee, I., 2002, "Flutter Analysis of a Wraparound Fin Projectile Considering Rolling Motion," Journal of Spacecraft and Rockets, Vol. 39, No. 1, pp. 66-72.

[22] Platus, D.H., 1992, "Aeroelastic Stability of Slender, Spinning Missiles," Journal of Guidance, Control and Dynamics, Vol. 15, No.1, pp. 144-151 .

[23] Turner, J., Hörschgen, M., Jung, W., Stamminger, A. and Turner, P., 2006, "SHEFEX-Hypersonic Re-entry Flight Experiment Vehicle and Subsystem Design, Flight Performance and Prospects," AIAA Paper No. 2006-8115, 14th AIAA/AHI Space Planes and Hypersonic Systems and Technologies Conference, Canberra, Australia.

[24] ZAERO, 2003, Software Package, Ver. 6.5, Zona Technology, Scottsdale, AZ.

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