Chu, Duc Nha (1997) Evolutionary structural optimization method for systems with stiffness and displacement constraints. PhD thesis, Victoria University of Technology.

Abstract

This thesis presents the development of an evolutionary method for optimization of stmctures subject to displacement and stiffness constraints. Using an optimality criteria approach, the study provides a rigorous mathematical basis to the recently proposed evolutionary stmctural optimization (ESO) method. New types of sensitivity numbers for element removal have been formulated from the optimality conditions of the general weight minimization problem. The optimal shape and topology of a structure is obtained by repeated finite element analysis and element removal until the sensitivity numbers become uniform by which the optimality conditions are satisfied, or no further improvement in the objective can be achieved. It is shown that the method can be applied to other constraints on generalized displacements, stiffness, stress and frequency. Investigations on various aspects of the proposed method have been carried out to show its validity and efficiency for shape and topology optimization.

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