Analytical and numerical studies of free vibrations of plate by imaginary-part BEM formulations

Journal of Sound and Vibration

Volumn 293, Issue 1-2, 2006, Pages 380-408

  Chen, J T ^a   Lin, S Y ^a   Lee, Y T ^a   Chen, I L ^b  

^a NATIONAL TAIWAN OCEAN UNIVERSITY   (Taiwan)

^b NATIONAL KAOHSIUNG UNIVERSITY OF APPLIED SCIENCES   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DECOMPOSITION; INTEGRAL EQUATIONS; PROBLEM SOLVING;

BOUNDARY INTEGRAL EQUATIONS; EIGENPROBLEMS; HYPERSINGULAR EQUATIONS; SPURIOUS SOLUTIONS;

VIBRATIONS (MECHANICAL);

EID: 33644939957     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2005.10.008     Document Type: Article

References (26)

1. S.R. Kuo, J.T. Chen, and C.X. Huang Analytical study and numerical experiments for true and spurious eigensolutions of a circular cavity using the real-part dual BEM International Journal for Numerical Methods in Engineering 48 2000 1404 1422
2. G. De Mey Calculation of the Helmholtz equation by an integral equation International Journal for Numerical Methods in Engineering 10 1976 59 66
3. G. De Mey A simplified integral equation method for the calculation of the eigenvalues of Helmholtz equation International Journal for Numerical Methods in Engineering 11 1977 1340 1342
4. M. Yas'ko, BEM with the real-valued fundamental solutions for the Helmholtz equation, Proceedings of Seventh International Congress on Sound and Vibration, Germany, 2000, pp. 2037-2044.
5. J.R. Hutchinson Determination of membrane vibrational characteristics by the boundary-integral equation method C.A. Brebbia Recent Advances in Boundary Element Methods 1978 Pentech Press London 301 315
6. J.R. Hutchinson, G.K.K. Wong, The boundary element method for plate vibrations, Proceedings of the ASCE Seventh Conference on Electronic Computation, ASCE, St. Louis, Missouri, New York, 1979, pp. 297-311.
7. J.R. Hutchinson An alternative BEM formulation applied to membrane vibrations C.A. Brebbia G. Maier Boundary Elements vol. VII 1985 Springer Berlin
8. J.R. Hutchinson Analysis of plates and shells by boundary collocation D.E. Beskos Boundary Elements Analysis of Plates and Shells 1991 Springer Berlin
9. R.P. Shaw Boundary integral equation methods applied to wave problems P.K. Banerjee R.P. Shaw Developments in Boundary Element Methods - 1 1979 Applied Science Publishers Barking
10. J.R. Hutchinson Vibration of plates C.A. Brebbia Boundary Elements vol. X 1988 Springer Berlin
11. J.T. Chen, S.R. Kuo, Y.C. Cheng, On the true and spurious eigensolutions using circulants for real-part dual BEM, IUTAM/IACM/IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of Boundary Element Method, Kluwer Press, Cracow, Poland, 2000.
12. J.T. Chen Recent development of dual BEM in acoustic problems Computer Methods in Applied Mechanics and Engineering 188 3-4 2000 833 845
13. J.R. Chang, W. Yeih, and J.T. Chen Determination of natural frequencies and natural modes using the dual BEM in conjunction with the domain partition technique Computational Mechanics 24 1 1999 29 40
14. J.T. Chen, C.X. Huang, and K.H. Chen Determination of spurious eigenvalues and multiplicities of true eigenvalues using the real-part dual BEM Computational Mechanics 24 1 1999 41 51
15. I.L. Chen, J.T. Chen, S.R. Kuo, and M.T. Liang A new method for true and spurious eigensolutions of arbitrary cavities using the CHEEF method Journal of Acoustical Society of America 109 2001 982 999
16. Y. Niwa, S. Kobayash, and M. Kitahara Determination of eigenvalues by boundary element methods P.K. Banerjee R.P. Shaw Developments in Boundary Element Method - 2 1982 Applied Science Publishers Barking
17. J.T. Chen, J.H. Lin, S.R. Kuo, and S.W. Chyuan Boundary element analysis for the Helmholtz eigenvalue problems with a multiply connected domain Proceedings of the Royal Society Series A 457 2001 2521 2546
18. J.T. Chen, L.W. Liu, and H.-K. Hong Spurious and true eigensolutions of Helmholtz BIEs and BEMs for a multiply-connected problem Proceedings of the Royal Society Series A 459 2003 1891 1924
19. M. Kitahara Boundary Integral Equation Methods in Eigenvalue Problems of Elastodynamics and Thin Plates 1985 Elsevier Amsterdam
20. A.W. Leissa Vibration of Plates 1993 American Institute of Physics
21. J.T. Chen, C.S. Wu, K.H. Chen, Y.T. Lee, Degenerate scale for the analysis of circular thin plate using the boundary integral equation method and boundary element method, Computational Mechanics (2005), in press.
22. J.T. Chen, M.H. Chang, K.H. Chen, and S.R. Lin The boundary collocation method with meshless concept for acoustic eigenanalysis of two-dimensional cavities using radial basis function Journal of Sound and Vibration 257 4 2002 667 711
23. A.J. Burton, and G.F. Miller The application of integral equation methods to numerical solution of some exterior boundary value problems Proceedings of The Royal Society Series A 323 1971 201 210
24. S.M. Dickinson The buckling and frequency of flexural vibration of rectangular, isotropic and orthotropic plates using Rayleigh's method Journal of Sound and Vibration 61 1978 1 8
25. S.W. Kang, and J.M. Lee Free vibration analysis of arbitrary shaped plates with clamped edges using wave-type functions Journal of Sound and Vibration 242 1 2001 9 26
26. R.D. Blevins Formulas for Natural Frequency and Mode Shape 1984 Robert E. Krieger Malabar, FL