Nonlinear reduced-order models for thermoelastodynamic response of isotropic and functionally graded panels

AIAA Journal

Volumn 49, Issue 3, 2011, Pages 630-641

  Perez, R ^a   Wang, X Q ^a   Mignolet, Marc P ^a  

^a ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BASIS FUNCTIONS; COUPLED NONLINEAR DIFFERENTIAL EQUATIONS; EXTERNAL LOADS; FINITE ELEMENT; FUNCTIONALLY GRADED; GALERKIN APPROACH; GENERALIZED COORDINATES; GEOMETRICALLY NONLINEAR; ISOTROPIC BEAMS; MODEL COEFFICIENT; NUMERICAL EVALUATIONS; REDUCED ORDER MODELS; REDUCED-ORDER MODELING; TEMPERATURE EXPANSION; THERMOELASTICS; TIME VARYING; TIME VARYING LOADS;

BEAMS AND GIRDERS; DIFFERENTIAL EQUATIONS; FUNCTIONALLY GRADED MATERIALS; NANOCOMPOSITES; THERMOELASTICITY; TIME VARYING SYSTEMS;

NONLINEAR EQUATIONS;

EID: 79952143058     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.J050684     Document Type: Article

References (17)

1. Blevins, R. D., Holehouse, I., and Wentz, K. R., "Thermoacoustic Loads and Fatigue of Hypersonic Vehicle Skin Panels," Journal of Aircraft, Vol. 30, No. 6, 1993, pp. 971-978. doi:10.2514/3.46441
2. Weiting, A. R., Dechaumphai, P., Bey, K. S., Thornton, E., and Morgan, K., "Application of Integrated Fluid-Thermal-Structure Analysis Methods," Thin-Walled Structures, Vol. 11, Nos. 1-2, 1991, pp. 1-23. doi:10.1016/0263-8231(91)90008-7
3. McEwan, M. I., Wright, J. R., Cooper, J. E., and Leung, A. Y. T., "A Combined Modal/Finite Element Analysis Technique for the Dynamic Response of a Nonlinear Beam to Harmonic Excitation," Journal of Sound and Vibration, Vol. 243, No. 4, 2001, pp. 601-624. doi:10.1006/jsvi.2000.3434 (Pubitemid 32542948)
4. Muravyov, A. A., and Rizzi, S. A., "Determination of Nonlinear Stiffness with Application to Random Vibration of Geometrically Nonlinear Structures," Computers and Structures, Vol. 81, No. 15, 2003, pp. 1513-1523. doi:10.1016/S0045-7949(03)00145-7
5. Hollkamp, J. J., Gordon, R. W., and Spottswood, S. M., "Nonlinear Modal Models for Sonic Fatigue Response Prediction: A Comparison of Methods," Journal of Sound and Vibration,Vol. 284, Nos. 3-5, 2005, pp. 1145-1163. doi:10.1016/j.jsv.2004.08.036 (Pubitemid 40643854)
6. Mignolet, M. P., Radu, A. G., and Gao, X., "Validation of Reduced Order Modeling for the Prediction of the Response and Fatigue Life of Panels Subjected to Thermo-Acoustic Effects," Proceedings of the 8th International Conference on Recent Advances in Structural Dynamics, Southampton, U.K., 14-16 July 2003.
7. Radu, A., Yang, B., Kim, K., and Mignolet, M. P., "Prediction of the Dynamic Response and Fatigue Life of Panels Subjected to Thermo-Acoustic Loading," 45th Structures, Structural Dynamics, and Materials Conference, Palm Springs, CA, AIAA Paper 2004-1557, April 2004.
8. Przekop, A., and Rizzi, S. A., "Nonlinear Reduced Order Random Response Analysis of Structures with Shallow Curvature," AIAA Journal, Vol. 44, No. 8, 2006, pp. 1767-1778. doi:10.2514/1.18868 (Pubitemid 44326537)
9. Gordon, R. W., and Hollkamp, J. J., "Reduced-Order Modeling of the Random Response of Curved Beams using Implicit Condensation," AIAA Paper 2006-1926, 2006.
10. Spottswood, S. M., Hollkamp, J. J., and Eason, T. G., "Reduced-Order Models for a Shallow Curved Beam Under Combined Loading," AIAA Journal Vol. 48, No. 1, 2009, pp. 47-55. doi:10.2514/1.38707
11. Kim, K.,Wang, X. Q., and Mignolet, M. P., "Nonlinear Reduced Order Modeling of Functionally Graded Plates," 49th Structures, Structural Dynamics, and Materials Conference, Schaumburg, IL, AIAA Paper 2008-1873, April 2008.
12. Przekop, A., and Rizzi, S. A., "Dynamic Snap-Through of Thin-Walled Structures by a Reduced-Order Method," AIAA Journal, Vol. 45, No. 10, 2007, pp. 2510-2519. doi:10.2514/1.26351 (Pubitemid 350096171)
13. Kim, K., Kim, Y. C., Mignolet, M. P., Liu, D. D., Chen, P. C., and Lee, D. H., "Random Aeroelastic Response Due to Strong Hypersonic Unsteady-Wave/Shock Interaction with Acoustic Loads," 48th Structures, Structural Dynamics, and Materials Conference, Honolulu, AIAA Paper 2007-2014, April 2007.
14. Fung, Y. C., and Tong, P., Classical and Computational Solid Mechanics, World Scientific, River Edge, NJ, 2001.
15. Bonet, J., andWood, R. D., Nonlinear Continuum Mechanics for Finite Element Analysis, Cambridge Univ. Press, Cambridge, England, U.K., 1997.
16. Vujosevic, L., and Lubarda, V. A., "Finite-Strain Thermoelasticity Based on Multiplicative Decomposition of Deformation Gradient," Theoretical and Applied Mechanics, Vols. 28-29, 2002, pp. 379-399.
17. Mignolet, M. P., and Soize, C., "Stochastic Reduced Order Models for Uncertain Geometrically Nonlinear Dynamical Systems," Computer Methods in Applied Mechanics and Engineering,Vol. 197, Nos. 45-48, 2008, pp. 3951-3963. doi:10.1016/j.cma.2008.03.032