TECHNICAL PAPERS
Nov 1, 1991

Boundary Element‐Transfer Matrix Method for Plated Structures

Publication: Journal of Engineering Mechanics
Volume 117, Issue 11

Abstract

A structural analysis method based on a combined use of the boundary element and transfer matrix method is applied to static problems of plated structures. In this paper, a transfer matrix is evaluated by combining two transfer matrices for in‐plane and plate‐bending problems, which are derived from the systems of equations based on the ordinary boundary element method for in‐plane and plate‐bending problems, respectively. Furthermore, an extended transfer matrix is proposed for the structures with complicated cross section such as T‐ and I‐section members. This method permits the use of a large number of elements, without getting involved with large matrices. Some numerical examples of plated structures subjected to various loads are proposed and their results are compared with those obtained by the finite element method.

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References

1.
Banerjee, P. K. (1976). “Integral equation methods for analysis of piece‐wise non‐homogeneous three‐dimensional elastic solids of arbitrary shape.” Int. J. Mech. Sci., 18, 293–303.
2.
Banerjee, P. K., and Butterfield, R. (1977). “Boundary element methods in geomechanics.” Finite elements in geomechanics, John Wiley and Sons, Inc., New York, N.Y.
3.
Brebbia, C. A., Telles, J. C. F., and Wrobel, L. C. (1984). Boundary element techniques—theory and applications. Springer‐Verlag, Berlin, Germany.
4.
Brebbia, C. A., and Maier, G. (1985). Boundary elements VII. Springer‐Verlag, Berlin, Germany.
5.
Brebbia, C. A., Wendland, W. L., and Kuhn, G. (1987). Boundary elements IX. Springer‐Verlag, Berlin, Germany.
6.
Brebbia, C.A. (1988). Boundary elements X. Springer‐Verlag, Berlin, Germany.
7.
Brebbia, C. A., and Connor, J. J. (1989). Advances on boundary elements. Springer‐Verlag, Berlin, Germany.
8.
Lachat, J. C., and Watson, J. O. (1977). “Progress in the use of boundary integral equations, illustrated by examples.” Comput. Methods Appl. Mech. Engrg., 10, 273–289.
9.
Ohga, M., Shigematsu, T., and Hara, T. (1986). “Structural analysis by a combined boundary element transfer matrix method.” Comput. Struct., 24(3), 385–389.
10.
Ohga, M., and Shigematsu, T. (1988). “Bending analysis of plates with variable thickness by boundary element transfer matrix method.” Comput. Struct., 28(5), 635–640.
11.
Pestel, E. C., and Leckie, F. A. (1963). Matrix method in elastomechanics. McGraw‐Hill, New York, N.Y.
12.
Stern, M. (1979). “A general boundary integral formulation for the numerical solution of plate bending problems.” Int. J. Solids Struct., 15, 769–782.
13.
Tanaka, M., and Brebbia, C. A. (1986). Boundary elements VIII. Springer‐Verlag, Berlin, Germany.
14.
Timoshenko, S. P., and Woinowsky‐Krieger, S. (1959). Theory of Plates and Shells. McGraw‐Hill, Kogakusha, Tokyo, Japan.
15.
Tomlin, G. R., and Butterfield, R. (1974). “Elastic analysis of zoned orthotropic continua.” J. Engrg. Mech., ASCE, 100(3), 511–529.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 117Issue 11November 1991
Pages: 2509 - 2526

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Published online: Nov 1, 1991
Published in print: Nov 1991

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Authors

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Mitao Ohga
Assoc. Prof., Dept. of Civ. Engrg., Ehime Univ., Matsuyama 790, Japan
Tsunemi Shigematsu
Prof., Tokuyama Tech. Coll., Tokuyama 745, Japan
Takashi Hara
Assoc. Prof., Tokuyama Tech. Coll., Tokuyama 745, Japan

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