OPTIMAL STRUCTURAL TOPOLOGY DESIGN USING THE HOMOGENIZATION METHOD WITH MULTIPLE CONSTRAINTS |
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Authors: | TAO JFANG PANOS Y. PAPALAMBROS |
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Affiliation: | Department of Mechanical Engineering and Applied Mechanics , The University of Michigan , Ann Arbor, Michigan, 48109, USA |
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Abstract: | In applications of the homogenization method for optimal structural topology design the solution is obtained by solving the optimahty conditions directly. This reduces the computational burden by taking advantage of closed-form solutions but it restricts the optimization model to having only one constraint. The article develops a generalized class of convex approximation methods for mathematical programming that can be used for the optimal topology homogenization problem with multiple constraints in-eluded in the model, without substantial reduction in computational efficiency. A richer class of design models can be then addressed using the hotnogenization method. Design examples illustrate the performance of the proposed solution strategy. |
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Keywords: | Convex approximation method homogenization structural topology optimization multipurpose topology design |
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