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In this paper a methodology for design optimization of foundation of structures has been proposed. The structural model comprises three different finite elements, i.e. plate elements for mat foundation, solid elements for soil and some compression-only members for connection of foundation to soil. To facilitate the optimization algorithm, a 3D analysis is performed in the elastic range under one design loading. Due to numerous finite elements and accordingly considerable number of design variables, the classical topology optimization algorithms become inefficient for solution of the problem. Therefore in this paper an innovative topology optimization algorithm, which does work based on efficiency of foundation elements, is proposed. This new algorithm cuts out the foundation elements that do not bear (or bear low value) compression under design load(s). The overall optimization methodology consists of two phase optimization: namely topology optimization and size optimization. After every topology optimization, an analysis is done and a size optimization algorithm is used to proportion the thickness of the foundation and corresponding reinforcement. The consequent topology and size optimization processes are repeated until no enhancement is obtained in the design. The capabilities of the proposed method have been shown by four design example.

Keywords: compression-only member, topology, size optimization, solid element, plate element

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