The Galerkin method for initial value problems based on the principle of total virtual action

Journal of Sound and Vibration

Volumn 203, Issue 3, 1997, Pages 457-472

  Chen, G ^a   Du, H ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 30244445914     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0852     Document Type: Article

References (13)

1. K. BATHE 1976 Numerical Methods in Finite Element Analysis. Englewood Cliffs, New Jersey: Prentice-Hall.
2. A. F. D'SOUZA 1984 Advanced Dynamics, Modeling and Analysis. Englewood Cliffs, New Jersey: Prentice-Hall.
3. O. C. ZIENKIEWICZ 1977 The Finite Element Method. London: McGraw-Hill.
4. H. LEIPHOLZ 1987 Applied Mechanics Reviews 40(10), 1379-1392. On some developments in direct methods of the calculus of variations.
5. C. D. BAILEY 1975 American Institute of Aeronautics and Astronautics Journal 13(9), 1154-1157. Application of Hamilton's law of varying action.
6. T. E. SIMKINS 1978 American Institute of Aeronautics and Astronautics Journal 16(6), 559-563. Unconstrained variational statements for initial and boundary-value problem.
7. H. LEIPHOLZ 1986 Acta Mechanica 58, 239-249. On the application of the direct method to initial value problems.
8. G. CHEN 1987 Journal of Sound and Vibration 112, 503-511. A generalized Galerkin's method for non-linear oscillators.
9. G. CHEN 1988 Journal of Sound and Vibration 119, 225-242. Applications of a generalized Galerkin's method to non-linear oscillations of two-degree-of-freedom systems.
10. Y. M. DESAI, A. H. SHAH and N. POPPLEWELL 1990 American Society of Civil Engineers, Journal of Engineering Mechanics 116(12), 2583-2602. Galloping analysis for two-degree-of-freedom oscillator.
11. G. CHEN 1990 International Journal of Engineering Science 28(9), 875-887. Unconstrained variational statements for initial and boundary-value problems via the principle of total virtual action.
12. J. L. CHUA 1995 Final Year Project Report (MPE B009) Nanyang Technological University, Singapore. Study of a new approach for vibration solutions.
13. K. H. KOH 1996 Final Year Project Report (MPE B015) Nanyang Technological University, Singapore. Software development of recurrent Galerkin's procedure for linear/nonlinear systems.