Nonlinear reduced order modeling of curved beams: A comparison of methods

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn , Issue , 2009, Pages

  Spottswood, S Michael ^a   Eason, Thomas G ^a   Wang, X Q ^b   Mignolet, Marc P ^b  

^a AIR FORCE RESEARCH LABORATORY   (United States)

^b Arizona State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCURATE PREDICTION; ACOUSTIC EXCITATION; AIRCRAFT PANELS; COMPARISON OF METHODS; COMPLEX BEHAVIOR; COMPLEX PHYSICAL PROCESS; COMPUTATIONALLY EFFICIENT; CURVED BEAMS; ENERGY EXCHANGES; FLAT BEAMS; GEOMETRIC RESPONSE; HIGH TEMPERATURE; IN-PLANE MOTION; REDUCED ORDER MODELS; REDUCED-ORDER MODELING; SNAP-THROUGH; TRANSVERSE DISPLACEMENTS; UNSTABLE REGIONS;

ACOUSTIC WAVE TRANSMISSION; COMBINATORIAL OPTIMIZATION; CURVED BEAMS AND GIRDERS; GEOMETRY; STRUCTURAL DYNAMICS;

MODELS;

EID: 84855638758     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. Mettler, E., "Dynamic Buckling." Handbook of Engineering Mechanics, edited by W. Flugge. McGraw-Hill. New York, 1962, pp. 62-1 to 62-11.
2. th Structures, Structural Dynamics, and Materials Conference, Palm Springs, California, Mar. 29-31, 1967. AIAA Paper AIAA-1967-1115.
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, pp. 601-624, 2001.
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, pp. 1513-1523, 2003.
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, pp. 1145-1163, 2005.
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, United Kingdom, Jul. 14-16, 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," Proceedings of the 45th Structures, Structural Dynamics, and Materials Conference, Palm Springs, California, Apr. 19-22, 2004. Paper AIAA-2004-1557.
8. Przekop A., and Rizzi S.A., "Nonlinear Reduced Order Random Response Analysis of Structures with Shallow Curvature," AIAA Journal Vol. 44 (8), pp. 1767-1778, 2006.
9. Gordon R.W., and Hollkamp, J.J., "Reduced-Order Modeling of the Random Response of Curved Beams using Implicit Condensation," AIAA-2006-1926, 2006.
10. Spottswood, S.M., Hollkamp, J.J., and Eason, T.G., "On the Use of Reduced-Order Models for a Shallow Curved Beam Under Combined Loading," Proceedings of the 49th Structures, Structural Dynamics, and Materials Conference, Schaumburg, Illinois, Apr. 7-10, 2008. AIAA Paper AIAA-2008-1873.
11. Kim, K., Wang, X.Q., and Mignolet, M.P., "Nonlinear Reduced Order Modeling of Functionally Graded Plates," Proceedings of the 49th Structures, Structural Dynamics, and Materials Conference, Schaumburg, Illinois, Apr. 7- 10, 2008. AIAA Paper AIAA-2008-1873.
12. Kim, K., Kim, Y.C., Mignolet, M.P., Liu, D.D., Chen, P.C., Lee, D.H., "Random Aeroelastic Response Due to Strong Hypersonic Unsteady-Wave/Shock Interaction with Acoustic Loads," Proceedings of the 48th Structures, Structural Dynamics, and Materials Conference, Honolulu, Hawaii, Apr. 23-26, 2007. AIAA Paper AIAA-2007-2014.
13. 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, 2008, pp. 3951-3963.
14. Perez, R., Wang, X.Q., and Mignolet, M.P., "Nonlinear Reduced Order Models for Thermoelastodynamic Response of Isotropic and FGM Panels," Proceedings of the 50th Structures, Structural Dynamics, and Materials Conference, Palm Springs, California, May 4-7, 2009. AIAA Paper AIAA-2009-2309.
15. Kim, K., Khanna, V., Wang, X.Q., and Mignolet, M.P., "Nonlinear Reduced Order Modeling of Flat Cantilevered Structures," Proceedings of the 50th Structures, Structural Dynamics, and Materials Conference, Palm Springs, California, May 4-7, 2009. AIAA Paper AIAA-2009-2492.