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Dynamic response by means of functions of matrices
Journal article   Peer reviewed

Dynamic response by means of functions of matrices

Leon Y. Bahar and George E. Law
Computers & structures, v 14(3), pp 173-178
1981

Abstract

A method to predict the dynamic response of a linear nonconservative system with nonsymmetric parameter matrices, due to a discretized forcing function is developed. The method is based on sampled-data techniques widely used in modern control theory. However, instead of appealing to the state space approach which recasts the equations of motion into a first order system, the numerical integration is attempted directly on the second order differential equations as given. Finally, a sample problem considered in a previous matrix exponential method is worked out by the method developed here. The results indicate that the approach is well-suited for problems where the input data is known in digitized form.

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Computer Science, Interdisciplinary Applications
Engineering, Civil
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