Time domain analysis of the nonlinear transient response of simple structures to shock excitation

Schaedlich, Mirko and Ferguson, Neil (2004) Time domain analysis of the nonlinear transient response of simple structures to shock excitation. In Proceedings of ISMA. ISMA. pp. 2169-2182 .

Record type: Conference or Workshop Item (Paper)

Abstract

The response of structures to blast wave excitation is a rather complex area of research within the field of structural dynamics. It involves numerous aspects of nonlinear behaviour including large deformation, multimodal response, material nonlinearities, etc. This paper is aimed at providing an insight into the physical nonlinear response process by analysing the dynamics of a single-degree-of-freedom (SDOF) mass-spring system in the time domain. Different types of non-linear restoring forces have been included to predict the system response when subjected to step and impulse excitation and free vibration. Numerically obtained data using adaptive Runge-Kutta time stepping algorithm is compared with analytically derived original expressions for simplified and special cases. The results and comparisons are also represented graphically in a non-dimensional form, and indicate the relative importance or otherwise of features of the input and the parameters of the simple dynamic system.

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