This paper discusses the optimal design of foundations subjected to dynamic loading, using the finite element method to determine the responses of the system. A three-dimensional finite element programme for dynamic analysis in time domain has been developed using Newmark's integration scheme for the discretization in time domain. In order to consider the infinite extent of the foundation domain, unified boundary condition has been adopted. Only linear material behaviour is included at present. The design variables are the dimensions of the foundation while the constraints are amplitudes, acceleration, velocities and frequencies of the system. The results of the numerical examples show that the foundations subjected to dynamic loading can be designed both economically and effectively using the proposed method. Copyright © 2001 John Wiley & Sons, Ltd.
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