Free vibration analysis of circular plates with multiple circular holes using indirect BIEMs

Journal of Sound and Vibration

Volumn 304, Issue 3-5, 2007, Pages 811-830

  Lee, W M ^a   Chen, J T ^b   Lee, Y T ^b  

^a CHINA INSTITUTE OF TECHNOLOGY   (Taiwan)

^b NATIONAL TAIWAN OCEAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY INTEGRAL EQUATIONS; FINITE ELEMENT METHOD; FOURIER SERIES; LINEAR ALGEBRA; NATURAL FREQUENCIES; PLATES (STRUCTURAL COMPONENTS); SINGULAR VALUE DECOMPOSITION;

DEGENERATE KERNELS; FOURIER COEFFICIENTS; LINEAR ALGEBRAIC SYSTEMS;

VIBRATION ANALYSIS;

EID: 34248546165     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.03.026     Document Type: Article

References (31)

1. Khurasia H.B., and Rawtani S. Vibration analysis of circular plates with eccentric hole. Journal of Applied Mechanics-Transactions of the ASME 45 (1978) 215-217
2. Leissa A.W., and Narita Y. Natural frequencies of simply supported circular plates. Journal of Sound and Vibration 70 (1980) 221-229
3. Vogel S.M., and Skinner D.W. Natural frequencies of transversely vibrating uniform annular plates. Journal of Applied Mechanics-Transactions o the ASME 32 (1965) 926-931
4. Vega D.A., Vera S.A., Sanchez M.D., and Laura P.A.A. Transverse vibrations of circular, annular plates with a free inner boundary. Journal of the Acoustical Society of America 103 (1998) 1225-1226
5. Vera S.A., Sanchez M.D., Laura P.A.A., and Vega D.A. Transverse vibrations of circular, annular plates with several combinations of boundary conditions. Journal of Sound and Vibration 213 4 (1998) 757-762
6. Vera S.A., Laura P.A.A., and Vega D.A. Transverse vibrations of a free-free circular annular plates. Journal of Sound and Vibration 224 2 (1999) 379-383
7. Chen J.T., Lin S.Y., Chen I.L., and Lee Y.T. Mathematical analysis and numerical study to free vibrations of annular plates using BIEM and BEM. International Journal for Numerical Methods in Engineering 65 (2006) 236-263
8. Chen J.T., Lee Y.T., Chen I.L., and Chen K.H. Mathematical analysis and treatment for the true and spurious eigenequations of circular plates by the meshless method using radial basis function. Journal of the Chinese Institute of Engineers 27 4 (2004) 547-561
9. Nagaya K., and Poltorak K. Method for solving eigenvalue problems of the Helmholtz equation with a circular outer and a number of eccentric circular inner boundaries. Journal of the Acoustical Society of America 85 (1989) 576-581
10. Nagaya K., and Yamaguchi T. Method for solving eigenvalue problems of the Helemholtz equation with an arbitrarily shaped outer and a number of eccentric circular inner boundaries. Journal of the Acoustical Society of America 90 (1991) 2146-2153
11. Cheng L., Li Y.Y., and Yam L.H. Vibration analysis of annular-like plates. Journal of Sound and Vibration 262 (2003) 1153-1170
12. Laura P.A.A., Masia U., and Avalos D.R. Small amplitude, transverse vibrations of circular plates elastically restrained against rotation with an eccentric circular perforation with a free edge. Journal of Sound and Vibration 292 (2006) 1004-1010
13. Chen J.T., Hsiao C.C., and Leu S.Y. Null-field integral equation approach for plate problems with circular holes. Journal of Applied Mechanics-Transactions of the ASME 73 (2006) 679-693
14. A.W. Leissa, Vibration of plates, NASA SP-160, 1969.
15. Providatis C.P., and Beskos D.E. Dynamic analysis of plates by boundary elements. Applied Mechanics Reviews 52 7 (1999) 213-236
16. Tanaka M., Sladek V., and Sladek J. Regularization techniques applied to boundary element methods. Applied Mechanics Reviews 47 (1994) 457-499
17. Chen J.T., and Hong H.K. Review of dual boundary element methods with emphasis on hypersingular integrals and divergent series. Applied Mechanics Reviews-Transactions of the ASME 52 1 (1999) 17-33
18. Chen J.T., Shen W.C., and Chen P.Y. Analysis of circular torsion bar with circular holes using null-field approach. Computer Modeling in Engineering Science 12 2 (2006) 109-119
19. Chen J.T., Shen W.C., and Wu A.C. Null-field integral equations for stress field around circular holes under anti-plane shear. Engineering Analysis with Boundary Elements 30 (2006) 205-217
20. Ventsel E.S. An indirect boundary element method for plate bending analysis. International Journal for Numerical Methods in Engineering 40 (1997) 1597-1610
21. Kress R. Linear Integral Equations (1989), Springer, New York
22. Kress R. On the numerical solution of a hypersingular integral equation in scattering theory. Journal of Computational and Applied Mathematics 61 (1995) 345-360
23. Gradshteyn I.S., and Ryzhik I.M. Table of Integrals, Series, and Products. fifth ed. (1996), Academic Press, New York
24. Kitahara M. Boundary Integral Equation Methods in Eigenvalue Problems of Elastodynamics and Thin Plates (1985), Elsevier, Amsterdam
25. Hutchinson J.R. Analysis of plates and shells by boundary collocation. In: Beskos D.E. (Ed). Boundary Elements Analysis of Plates and Shells (1991), Springer, Berlin 314-368
26. Chen J.T., Lin S.Y., Chen I.L., and Lee Y.T. Mathematical analysis and numerical study to free vibrations of annular plates using BIEM and BEM. International Journal for Numerical Methods in Engineering 65 (2006) 236-263
27. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions (1964), Applied Mathematics Series National Bureau of Standards, Washington, DC
28. Reddy J.N. Mechanics of Laminated Composite Plates and Shells: Theory and Analysis (2004), CRC Press, Boca Raton, FL
29. C.S. Wu, Degenerate Scale Analysis for Membrane and Plate Problems Using the Meshless Method and Boundary Element Method, Master Thesis, National Taiwan Ocean University, Keelung, 2004.
30. IMSL Math/Library Volumes 1 and 2, version 4.01 Visual Numerics, Inc., 1999.
31. ABAQUS 6.5 Hibbitt, Karlsson and Sorensen, Inc., RI, 2004.