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Finite element analysis for optimal design of foundations due to dynamic loading. (English) Zbl 1058.74083

Summary: This paper discusses optimal design of foundations subjected to dynamic loading, and uses the finite element method to determine the response of the system. A three-dimensional finite element programme for dynamic analysis in time domain is developed using Newmark’s integration scheme for the discretization in time domain. In order to consider an infinite extent of the foundation domain, we adopt a unified boundary condition. 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. Numerical examples show that the foundations subjected to dynamic loading can be designed both economically and effectively using the proposed method.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74P10 Optimization of other properties in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics
74H15 Numerical approximation of solutions of dynamical problems in solid mechanics
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