Abstract
In this paper, a new mathematical model suitable for higher level structural optimization problems, such as optimization of structural topology, layout and type is presented. In this mathematical model, the relation between two structures with different layouts is established by introducing the nonbasic variables. Using the Kuhn-Tucker condition for optimality, a criterion for determining a better layout of a structure is developed. This provides a measure for selecting the optimal layout of a structure. The method introduces a new way for higher level structural optimization design. Several numerical examples are given to illustrate the effectiveness of this method.
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