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Optimal design of stiffened laminated plates using a homotopy method

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Abstract

The use of a homotopy method is demonstrated for optimal design of a stiffened laminated plate for maximum buckling load. Instead of obtaining a single optimum, the homotopy technique generates in a single computer execution an entire family of optimum designs with a given parameter. In the present application the parameter is set to the total structural weight, and the optimal designs are obtained as a function of the weight of the laminated plates. It is seen that the number of simultaneous buckling modes of optimum plates is increased as the total weight is increased. So for low weights the optimal design starts with unimodal design and for higher weight the optimal design becomes bimodal, trimodal, and finally it becomes tetramodal.

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Shin, YS. Optimal design of stiffened laminated plates using a homotopy method. KSME Journal 7, 399–407 (1993). https://doi.org/10.1007/BF02953209

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  • DOI: https://doi.org/10.1007/BF02953209

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