Sequential Semidefinite Programming for Optimization of Framed Structures under Multimodal Buckling Constraints
نویسندگان
چکیده
An algorithm based on Semi-Definite Programming (SDP) formulation is proposed for optimum design for specified linear buckling load factor. Optimal trusses and frames are computed by using the primal-dual interior-point method for SDP. It is well known that optimizing structures under buckling constraints is difficult because of nondifferentiability of the buckling load factors for the case of multimodal solutions. It is shown, in the examples, that optimum designs with multiple buckling load factors can be found without any difficulty by successively solving SDP problems.
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