Nonlinear transient response and second-order sensitivity using time finite element method

AIAA journal

Volumn 37, Issue 5, 1999, Pages 613-622

  Park, Sungho ^a   Kapania, Rakesh K ^b   Kim, Seung Jo ^a  

^a Seoul National University   (South Korea)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD; OPTIMIZATION; SENSITIVITY ANALYSIS;

NONLINEAR TRANSIENT RESPONSE; TIME FINITE ELEMENT METHOD (FEM);

STRUCTURAL ANALYSIS;

EID: 0032653997     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.761     Document Type: Article

References (15)

1. Tomović, R., Sensitivity Analysis of Dynamics Systems, McGraw-Hill, New York, 1963, Chap. 1.
2. Haug, E. J., Wehage, R. A., and Barman, N. C., "Design Sensitivity Analysis of Planar Mechanisms and Machine Dynamics," Journal of Mechanical Design, Vol. 103, No. 3, 1981, pp. 560-570.
3. Ehle, P. E., and Haug, E. J., "A Logical Function Method for Dynamic and Design Sensitivity Analysis of Mechanical Systems with Intermittent Motion," Journal of Mechanical Design, Vol. 104, No. 1, 1982, pp. 90-100.
4. Kapania, R. K., and Park, S., "Nonlinear Transient Response and Its Sensitivity Using Finite Elements in Time," Computational Mechanics, Vol. 17, No. 5, 1996, pp. 306-317.
5. Peters, D. A., and Izadpanah, A. P., "hp-Version Finite Elements for the Space-Time Domain," Computational Mechanics, Vol. 3, No. 2, 1988, pp. 73-88.
6. Haug, E. J., "Second-Order Design Sensitivity Analysis of Structural Systems," AIAA Journal, Vol. 19, No. 8, 1981, pp. 1087, 1088.
7. Haftka, R. T., "Second-Order Sensitivity Derivatives in Structural Systems," AIAA Journal, Vol. 20, No. 12, 1982, pp. 1765, 1766.
8. Bindolino, G., and Mantegazza, P., "Aeroelastic Derivatives as a Sensitivity Analysis of Nonlinear Equations," AIAA Journal, Vol. 25, No. 8, 1987, pp. 1145, 1146.
9. Van Belle, H., "Higher Order Sensitivities in Structural Systems," AIAA Journal, Vol. 20, No. 2, 1982, pp. 286-288.
10. Reddy, J, N., An Introduction to the Finite Element Method, McGraw-Hill, New York, 1984, Chap. 2.
11. Burden, R. L., and Faires, J. D., Numerical Solution of Ordinary Differential Equations, Chapman and Hall, New York, 1994, Chap. 5.
12. Kapania, R. K., and Park, S., "Parametric Identification of Nonlinear Structural Dynamic Systems Using Time Finite Element Method," AIAA Journal, Vol. 35, No. 4, 1997, pp. 719-726.
13. Park, S., and Kapania, R. K., "Comparison of Various Orthogonal Polynomials in the hp-Version Time Finite Element Method," AIAA Journal, Vol. 36, No. 4, 1998, pp. 651-655.
14. Haftka, R. T., and Gürdal, Z., Elements of Structural Optimization, Kluwer Academic, Dordrecht, The Netherlands, 1992, Chap. 7.
15. Nayfeh, A. H., and Mook, D. T., Nonlinear Oscillations, Wiley, New York, 1979, Chap. 6.