Abstract
In this paper, we first discuss the integral equation formulation for the buckling problem of a single plate, using the biharmonic fundamental solution for the plate bending problems. The so called boundary-element method previously proposed by the senior author is applied to the numerical solution of the resulting set of integral equations. The total set of simultaneous equations are derived for nodal unknowns taken out of the whole domain, and reduced to an algebraic set of eigenvalue equations. The proposed method is method to the solution of elastic buckling of assembled plate structures. A few examples are computed and results obtained are compared with other solutions to demonstrate the potential usefulness of the proposed method.
Similar content being viewed by others
References
Banjerjee, P. K.; Butterfield, R. (1981): Boundary element methods in engineering science. London: McGraw-Hill
Brebbia, C. A. (ed.) (1983): Progress in boundary element methods, Vols. 1 & 2. London: Pentech Press
Brebbia, C. A.; Futagami, T.; Tanaka, M. (eds.) (1983): Boundary elements. Berlin, Heidelberg, New York: Springer
Brebbia, C. A.; Telles, J. C. F.; Wrobel, L. C. (1984): Boundary element techniques. Berlin, Heidelberg, New York: Springer
JASCOME (ed.) (1986): Boundary element methods — theory and applications. Tokyo: Corona
Stern, M. (1979): A general boundary integral formulation for the numerical solution of plate problems. Int. J. Solids and Struct. 15, 769–782
Benzine, G. (1978): Boundary integral formulation for plate flexure with arbitrary conditions. Mech. Res. Comm. 5, 197–206
Tanaka, M.; Miyazaki, K. (1985a): A direct boundary element method for elastic bending analysis of plates. Trans. Jpn. Soc. Mech. Engrs., Ser. A. 51, 1636–1641
Tanaka, M.; Miyazaki, K. (1985b): A direct BEM for elastic plate-structures subjected to arbitrary loadings. In: Boundary elements VII, pp. 4/3–4/16. Brebbia, C. A.; Maier, G. (eds.) (1985). Berlin, Heidelberg, New York: Springer
Tanaka, M.; Tanaka, K. (1981): On a new boundary element solution scheme for elastoplasticity. Ingenieur-Arch. 50, 289–295
Timoshenko, S. P.; Womowsky-Krieger, S. (1959): Theory of plates and shells, 2nd ed. New York: McGraw-Hill
Author information
Authors and Affiliations
Additional information
Communicated by G. Jagawa, October 13, 1986
Rights and permissions
About this article
Cite this article
Tanaka, M., Miyazaki, K. A boundary element method for elastic buckling analysis of assembled plate structures. Computational Mechanics 3, 49–57 (1988). https://doi.org/10.1007/BF00280751
Issue Date:
DOI: https://doi.org/10.1007/BF00280751