Boundary-domain element method for free vibration of moderately thick laminated orthotropic shallow shells

International Journal of Solids and Structures

Volumn 33, Issue 1, 1996, Pages 11-18

  Wang, Jianguo ^a,b   Schweizerhof, Karl ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

^b HEFEI UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; INTEGRAL EQUATIONS; MATRIX ALGEBRA;

BOUNDARY-DOMAIN ELEMENT METHOD; FREE VIBRATION; LAMINATED ORTHOTROPIC SHALLOW SHELLS; STANDARD ALGEBRAIC EIGENVALUE PROBLEM; WEIGHTED FUNCTION; WEIGHTED RESIDUALS;

SHELLS (STRUCTURES);

EID: 0030035077     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7683(95)00017-5     Document Type: Article

References (18)

1. Bezine, G. H. (1980). A mixed boundary integral-finite element approach to plate vibration problems. Mech. Res. Commun. 7, 141-150.
2. Costa J. A. Jr (1988). Plate vibrations using B.E.M. Appl. Math. Modelling 12, 78-85.
3. Craig, T. J. and Dawe, D. J. (1986). Flexural vibration of symmetrically laminated composite rectangular plates including transverse shear effects. Int. J. Solids Structures 22, 155-169.
4. Kitahara, M. (1985). Boundary Integral Equation Methods in Eigenvalue Problems of Elastodynamics and Thin Plates. Elsevier, Amsterdam.
5. Niwa, J., Kobayashi, S. and Kitahara, M. (1981). Eigenfrequency analysis of a plate by the integral equation method. Theor. Appl. Mech. 29, 287-307.
6. Providakis, C. P. and Beskos, D. E. (1989). Free and forced vibration of plates by boundary and interior elements. Int. J. Numer. Meth. Engng 28, 1977-1994.
7. Reddy, J. N. (1984). Exact solutions of moderately thick laminated shells. J. Engng Mech., ASCE 110, 794-809.
8. Vander Weeën, F. (1982). Application of the direct boundary integral equation method to Reissner's plate model. Int. J. Numer. Meth. Engng 18, 1-10.
9. Vinson, J. R. and Chou, T. W. (1975). Composite Materials and Their Use in Structures. Applied Science, London.
10. Vivoli, J. and Filippi, P. (1974). Eigenfrequencies of thin plates and layer potentials. J. Acoust. Soc. Am. 55, 562-567.
11. Wang, Jianguo and Huang, Maokuang (1992a). Boundary integral equation method for Hoff's sandwich plates. Acta Aeronautica Astron. Sin. 13, A322-327.
12. Wang, Jianguo and Huang, Maokuang (1992b). Boundary integral equation method for vibration analysis of orthotropic thick plates. Acta Mekriae Compos. Sin. 9, 71-78.
13. Wang, Jianguo and Huang, Maokuang (1994). The fundamental solutions of orthotropic shallow shells including transverse shear deformation. Engng Mech. 11(2), 30-38 (in Chinese).
14. Wang, Jianguo and Schweizerhof, K. (1995). Boundary integral equation formulation for moderately thick laminated orthotropic shallow shell. Comput. Structures (accepted for publication).
15. Wang, S. and Dawe, D. J. (1993). Vibration of shear-deformable rectangular plates using a spline-function Rayleigh Ritz approach. Int. J. Numer. Meth. Engng 36, 695-711.
16. Wang, Zhengmin (1991). Mechanics of Composite Materials and Structural Mechanics of Composite Materials. Mechanical Industrial Press, Beijing (in Chinese).
17. Wong, G. I. K. and Hutchinson, J. R. (1981). An improved boundary element method for plate vibrations. In Boundary Element Method (Edited by C. A. Brebbia), pp. 272-289. Springer, Berlin.
18. Ye, J. Q. (1991). Nonlinear bending analysis of plates and shells by using a mixed spline boundary element and finite element method. Int. J. Numer. Meth. Engng 31, 1283-1294.