Eigenanalysis for membranes with stringers using conventional BEM in conjunction with SVD technique

Computer Methods in Applied Mechanics and Engineering

Volumn 192, Issue 11-12, 2003, Pages 1299-1322

  Chen, J T ^a   Lin, S R ^a   Chen, K H ^a   Chen, I L ^b   Chyuan, S W ^c  

^a NATIONAL TAIWAN OCEAN UNIVERSITY   (Taiwan)

^b NATIONAL KAOHSIUNG UNIVERSITY OF APPLIED SCIENCES   (Taiwan)

^c Chungshan Inst Sci Technology   (Taiwan)

Author keywords

Degenerate boundary; Dual boundary element method; Eigenproblem; Multi domain BEM; Singular value decomposition

Indexed keywords

BOUNDARY ELEMENT METHOD; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD;

EIGENSOLUTIONS;

PROBLEM SOLVING;

BOUNDARY ELEMENT METHOD; EIGENVALUE; MEMBRANE;

EID: 0037436429     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(02)00640-0     Document Type: Article

References (18)

1. M.H. Aliabadi, C.A. Brebbia, Advances in boundary element methods for fracture mechanics, Comput. Mech. Publ, Southampton, 1993.
2. G.E. Blandford, A.R. Ingraffea, J.A. Liggett, Two-dimensional stress intensity factor computations using the boundary element method, Int. J. Numer. Meth. Engrg. 17 (1981) 387-404.
3. J.T. Chen, M.T. Liang, I.L. Chen, S.W. Chyuan, K.H. Chen, Dual boundary element analysis of wave scattering from singularities, Wave Motion 30 (1999) 367-381.
4. J.T. Chen, H.-K. Hong, Review of dual boundary element methods with emphasis on hypersingular integrals and divergent series, Appl. Mech. Rev., ASME 52 (1) (1999) 17-33.
5. J.T. Chen, H.-K. Hong, S.W. Chyuan, Boundary element analysis and design in seepage problems using dual integral formulation, Fin. Elem. Anal. Des. 17 (1994) 1-20.
6. L.J. Gray, Boundary element method for regions with thin internal cavities, Engrg. Anal. Bound. Elem. 6 (4) (1989) 180-184.
7. L.J. Gray, L.F. Martha, A.R. Ingraffea, Hypersingular integrals in boundary element fracture analysis, Int. J. Numer. Meth. Engrg. 29 (1990) 1135-1158.
8. D. Givoli, S. Vigdergauz, Finite element analysis of wave scattering from singularities, Wave Motion 20 (1994) 165-176.
9. H.-K. Hong, J.T. Chen, Derivations of integral equations of elasticity, J. Engrg. Mech. 114 (6) (1988) 1028-1044.
10. S.M. Kirkup, Solution of discontinuous interior Helmholtz problems by the boundary and shell element method, Comput. Methods Appl. Mech. Engrg. 140 (1997) 393-404.
11. S.M. Kirkup, The boundary and shell element method, Appl. Math. Modell. 18 (1994) 418-422.
12. S.M. Kirkup, The computational modelling of acoustic shields by the boundary and shell element method, Comput. Struct. 40 (5) (1991) 1177-1183.
13. O.E. Lafe, J.S. Montes, A.H.D. Cheng, J.A. Liggett, P.L.-F. Liu, Singularity in Darcy flow through porous media, J. Hydraul. Div., ASCE 106 (HY6) (1980) 977-997.
14. P.L.-F. Liu, M. Abbaspour, Wave scattering by a rigid thin barrier, J. Waterway Port Coast. Ocean Div., ASCE 108 (WW4) (1982) 479-487.
15. Y. Mi, M.H. Aliabadi, Dual boundary element method for 3-D fracture mechanic analysis, Engrg. Anal. Bound. Elem. 10 (1992) 161-171.
16. A. Portela, M.H. Aliabadi, D.P. Rooke, Dual boundary element method: Effective implementation for crack problems, Int. J. Numer. Meth. Engrg. 33 (1992) 1269-1287.
17. F.J. Rizzo, An integral equation approach to boundary value problems of classical elastostatics, Quart. Appl. Math. 25 (1967) 83-95.
18. F.W. Williams, W.H. Wittrick, An automatic computational procedure for calculating natural frequencies of skeletal structures, Int. J. Mech. Sci. 12 (9) (1970) 781-791.