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Abstract

The large number of unknown variables usual in a finite element idealisation for dynamic structural analysis is represented by a very small number of generalised variables, each associating with a basis vector. The large system of equations of motion is thereby reduced to a very small set by this transformation and solved in the time domain, the cost of which is greatly reduced. The paper formulates the nonlinear equations and their transformation in details, tries out a convenient way for the selection of the basis vectors and discusses its limitations. The method may be applied to dynamic problems of a certain type where the response is global in nature. Some illustrative examples are given to demonstrate the validity of the technique.

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Finite Element Nonlinear Dynamic Structural Analysis Using the Reduced Basis Method

Abstract

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