University of Southampton OCS (beta), RASD 2013 11th International Conference on Recent Advances in Structural Dynamics 1st – 3rd July 2013

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COUPLED REDUCED ORDER MODEL-BASED STRUCTURAL-THERMAL PREDICTION OF HYPERSONIC PANEL RESPONSE
Andrew Matney, S. Michael Spottswood, Marc Paul Mignolet, Adam Culler, Jack McNamara

Last modified: 2013-05-17

Abstract


This paper addresses some aspects of the development of a fully coupled thermal-structural reduced order modeling of planned hypersonic vehicles, most notably the construction of the thermal and structural bases. A general framework for this construction is presented and demonstrated on a representative panel considered in prior investigations. The thermal reduced order model is first developed using basis functions derived from appropriate conduction eigenvalue problems. This basis is validated using published data of which it is found to provide an accurate representation. The coupling of this thermal model with a recently developed nonlinear structural reduced order model of the same panel is next considered. This coupling requires first the enrichment of the structural basis to model the elastic deformations that may be produced consistently with the thermal reduced order model. This step is detailed for the present panel and then the temperature dependent coefficients of the structural model are determined. The validation of the combined structural-thermal reduced order model is carried out by comparison with full finite element results (Nastran here) corresponding to pure mechanical loads, pure thermal loads, and combined mechanical-thermal excitations. Such comparisons are performed here on static solutions with temperature increases up to 2700R and pressures up to 3 psi for which the maximum displacements are of the order of 3 thicknesses. The reduced order model predicted results agree well with the full order finite element predictions in all of these various cases.

References


[1] Culler, A.J., and McNamara, J.J., “Coupled Flow-Thermal-Structural Analysis for Response Prediction of Hypersonic Vehicle Skin Panels,” Proceedings of the 51st Structures, Structural Dynamics, and Materials Conference, Orlando, Florida, Apr. 12-15, 2010, Paper AIAA-2010-2965.

[2] Ostoich, C., Bodony, D.J., Geubelle, P.H., “Coupled Fluid-Thermal Response of a Spherical Dome due to a Mach 6.59 Laminar Boundary Layer,” AIAA Journal, Vol. 50, No. 12, pp. 2791–2808, 2012.

[3] Blades, E.L., Miskovish, R.S., Nucci, M., Shah, P., Bremner, P.G., Luke, E.A., “Towards a Coupled Mutliphysics Analysis Capability for Hypersonic Vehicle Structures,” Proceedings of the 52nd Structures, Structural Dynamics and Materials Conference, Denver, Colorado, April 2011, AIAA-2011-1962.

[4] Culler, A., McNamara, J. “Impact of Fluid-Thermal-Structural Coupling on Response Prediction of Hypersonic Skin Panels”, AIAA Journal, Vol. 49, pp 2393-2406, 2011.

[5] Falkiewicz, N.J., and Cesnik, C.E.S., “Proper Orthogonal Decomposition for Reduced-Order Thermal Solution in Hypersonic Aerothermoelastic Simulations,” Proceedings of the 51st Structures, Structural Dynamics, and Materials Conference, Orlando, Florida, Apr. 12-15, 2010, Paper AIAA-2010-2798.

[6] Mignolet, M.P., Przekop, A., Rizzi, S.A., and Spottswood, S.M., “A Review of Indirect/Non-Intrusive Reduced Order Modeling of Nonlinear Geometric Structures,” Journal of Sound and Vibration, Vol. 332, No. 10, pp.  2437-2460, 2013.

[7] Perez, R., Wang, X.Q., and Mignolet, M.P., “Nonlinear Reduced Order Models for Thermoelastodynamic Response of Isotropic and FGM Panels,” AIAA Journal, Vol. 49, pp. 630-641, 2011.

[8] Perez, R., Wang, X.Q., and Mignolet, M.P., “Steady and Unsteady Nonlinear Thermoelastodynamic Response of Panels by Reduced Order Models,” Proceedings of the 51st Structures, Structural Dynamics, and Materials Conference, Orlando, Florida, Apr. 12-15, 2010, Paper AIAA-2010-2724.

[9] Matney, A., Perez, R., and Mignolet, M.P., “Nonlinear Unsteady Thermoelastodynamic Response of a Panel Subjected to an Oscillating Flux by Reduced Order Models, Proceedings of the 52nd Structures, Structural Dynamics and Materials Conference, Denver, Colorado, Apr. 4-7 2011, AIAA 2011-2016.

[10] Matney, A., Perez, R.A., Spottswood, S.M., Wang, X.Q., and Mignolet, M.P. “Nonlinear Structural-Thermal Reduced Order Modeling of a Representative Hypersonic Structure”, Proceedings of the 53nd Structures, Structural Dynamics and Materials Conference, Honolulu, Hawaii, Apr. 23-26 2012, AIAA -2012-1972.

[11] Hollkamp, J., and  Gordon, R., “Application of Reduced-Order Models for Thermoelastic Trajectory Simulation,” Proceedings of the 53nd Structures, Structural Dynamics and Materials Conference, Honolulu, Hawaii, Apr. 23-26 2012, AIAA -2012-1550.

[12] Kim, K., Radu, A.G., Wang, X.Q., and Mignolet, M.P., “Nonlinear Reduced Order Modeling of Isotropic and Functionally Graded Plates,” International Journal of Non-Linear Mechanics, Vol. 49, pp. 100-110, 2013.

[13] Perez, R.A., Wang, X.Q., Matney, A.K., and Mignolet, M.P., “Reduced Order Modeling for the Static and Dynamic Geometric Nonlinear Responses Of a Complex Multi-Bay Structure,” Proceedings of the 11th International Conference on Recent Advances in Structural Dynamics,” Pisa, Italy, Jul. 1-3, 2013.

[14] Perez, R., Wang, X.Q., Matney, A., and Mignolet, M.P., “Reduced Order Model for the Geometric Nonlinear Response of Complex Structures,” Proceedings of the ASME 2012 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, IDETC/CIE 2012 August 12-15, 2012, Chicago, IL, USA. DETC2012/MECH-71141.


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