Boundary element methods in structural dynamic system problems

Syngellakis, S. (1998) Boundary element methods in structural dynamic system problems. In, Leondes, Cornelius T. (ed.) Structural Dynamic Systems Computational Techniques and Optimization: Finite Element Analysis (FEA) Techniques. (Gordon and Breach International Series in Engineering, Technology and Applied Science) London, UK. CRC Press, pp. 97-147.

Record type: Book Section

Abstract

The aim of the boundary element method (BEM) is the numerical solution of integral equations derived from various mathematical models of material behaviour. It is desirable that only the variation of unknown quantities over the boundary of the analysed medium appear in those equations so that only boundary meshing and modelling schemes would be required. Hence, no approximations are necessary for the variables within the domain and the dimensionality of the problem is reduced by one. Both the direct as well as the indirect versions of BEM use as weighting functions in the formulation and numerical integration process the fundamental solution of the linear field equations governing the physical problem under consideration. Thus, the method is particularly effective in modelling and analysing unbounded regions since then it permits the discretization of only internal boundaries and, in the case of wave propagation, incorporates the radiation condition at infinity.

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