DSC analysis of rectangular plates with non-uniform boundary conditions

Journal of Sound and Vibration

Volumn 255, Issue 2, 2003, Pages 203-228

  Zhao, Y B ^a   Wei, G W ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; STRESS CONCENTRATION; STRUCTURAL ANALYSIS; VIBRATIONS (MECHANICAL);

DISCRETE SINGULAR CONVOLUTION; RAYLEIGH METHOD; RITZ VARIATIONAL METHODS; VIBRATION ANALYSIS;

BOUNDARY CONDITIONS;

EID: 0037426650     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.4150     Document Type: Article

References (40)

1. C. Lanczos 1938 Journal of Mathematical Physics 17, 123-199. Trigonometric interpolation of empirical and analytical functions.
2. J. W. Cooley and J. W. Tukey 1965 Mathematics of Computation 19, 297-301. An algorithm for the machine calculation of complex Fourier series.
3. B. A. Finlayson and L. E. Scriven 1966 Applied Mechanics Reviews 19, 735-748. The method of weighted residuals-a review.
4. S. A. Orszag 1972 Studies in Applied Mathematics 51, 253-259. Comparison of pseudospectral and spectral approximations.
5. B. Fornberg 1975 SIAM Journal of Numerical Analysis 12, 509-528. On a Fourier method for the integration of hyperbolic equations.
6. G. E. Forsythe and W. R. Wasow 1960 Finite-Difference Methods for Partial Differential Equations. New York: Wiley.
7. E. Isaacson and H. B. Keller 1966 Analysis of Numerical Methods. New York: Wiley.
8. O. C. Zienkiewicz 1971 The Finite Element Method in Engineering Science. London: McGraw-Hill.
9. C. S. Desai and J. F. Abel 1972 Introduction to the Finite Element Methods. New York: Van Nostrand Reinhold.
10. J. T. Oden 1972 The Finite Elements of Nonlinear Continua. New York: McGraw-Hill.
11. B. Nath 1974 Fundamentals of Finite Elements for Engineers. London: Athlone Press.
12. R. T. Fenner 1975 Finite Element Methods for Engineers. London: Imperial College Press.
13. Y. K. Cheung 1976 Finite Strip Methods in Structural Analysis. Oxford: Pergamon Press.
14. S. S. Rao 1982 The Finite Element Method in Engineering. New York: Pergamon Press.
15. J. N. Reddy 1984 An Introduction to the Finite Element Method. New York: McGraw-Hill.
16. A. W. Leissa 1969 Vibration of Plates (NASA SP 160). Washington, D.C.: U.S. Government Printing Office.
17. G. B. Warburton 1954 Proceedings of the Institution of Mechanical Engineers 168, 371-384. The vibration of rectangular plates.
18. A. W. Leissa 1973 Journal of Sound and Vibration 31, 257-293. The free vibration of rectangular plates.
19. A. W. Leissa, P. A. A. Laura and R. H. Gutierrez 1979 Journal of Applied Mechanics 47, 891-895. Vibration of rectangular plates with non-uniform elastic edge supports.
20. Y. K. Cheung and M. S. Cheung 1971 Proceedings of the American Society of Civil Engineering Journal of the Engineering Mechanics Division 97, 391-411. Flexural vibration of rectangular and other polygonal plates.
21. M. S. Cheung 1971 Ph.D. Thesis, University of Calgary. Finite Strip Analysis of Structures.
22. S. C. Fan and Y. K. Cheung 1984 Journal of Sound and Vibration 93, 81-94. Flexural free vibrations of rectangular plates with complex support conditions.
23. Y. Narita 1981 Journal of Sound and Vibration 77, 345-355. Application of a series-type method to vibration of orthotropic rectangular plates with mixed boundary conditions.
24. P. A. A. Laura and R. H. Guetierrez 1994 Journal of Sound and Vibration 173, 702-706. Analysis of vibrating rectangular plates with nonuniform boundary conditions by using the differential quadrature method.
25. C. Shu and C. M. Wang 1997 International Journal of Solids and Structures 34, 819-835. Implementation of clamped and simply supported boundary conditions in the GDQ free vibration analysis of beams and plates.
26. C. Shu and C. M. Wang 1999 Engineering Structures 21, 125-134. Treatment of mixed and nonuniform boundary conditions in GDQ vibration analysis of rectangular plates.
27. G. M. Wei 1999 Journal of Chemical Physics 110, 8930-8942. Discrete singular convolution for the solution of the Fokker-Planck equations.
28. G. W. Wei 2000 Journal of Physics A: Mathematical and General 33, 4935-4953. A unified approach for the solution of the Fokker-Planck equations.
29. L. Schwarz 1951 Théore des Distributions. Paris: Hermann.
30. G. W. Wei 2000 Journal of Physics B 33, 343-352. Solving quantum eigenvalue problems by discrete singular convolution.
31. G. W. Wei 2000 Computer Methods in Applied Mechanics and Engineering 190, 2017-2030. A new algorithm for solving some mechanical problems.
32. G. W. Wei 2000 Physica D 137, 247-259. Discrete singular convolution method for the sine-Gordon equation.
33. M. J. Ablowitz, B. M. Herbst and C. Schober 1996 Journal of Computational Physics 126, 299-314. On numerical solution of the sine-Gordon equation.
34. S. Guan, C.-H. Lai and G. W. Wei 2001 Physica D 151, 83-98. Fourier-Bessel characterization of patterns in a circular domain.
35. G. W. Wei 1999 in Computational Mechanics for the next Millennium (C. M. Wang, K. H. Lee and K. K. Ang, editors), pp. 1049-1054. A unified method for computational mechanics, New York: Elsevier.
36. G. W. Wei 2001 Journal of Sound and Vibration 244, 535-553. Vibration analysis by discrete singular convolution.
37. G. W. Wei 2001 Engineering Structures 23, 1045-1053. Discrete singular convolution for beam analysis.
38. L. W. Qian and G. W. Wei 1999 Journal of Approximation Theory (submitted). A note on regularized Shannon's sampling formulae.
39. J. R. Wu and W. H. Liu 1988 Journal of Sound and Vibration 123, 103-113. Vibration of rectangular plates with edge restraints and intermediate stiffeners.
40. A. H. Sheikh and M. Mukhopadhyay 1993 Journal of Vibration and Acoustics 115, 295-302. Transverse vibration of plate structures with elastically restrained edges by the spline finite strip method.