A cutting plane approach to maximization of fundamental frequency in truss topology optimization
José Miguel Aroztegui,
Artur Pessoa
Abstract:This work introduces a cutting plane algorithm to solve the maximization of the minimum frequency of truss structures subject to volume and compliance constraints. Multiple load cases and multiple scenarios of non-structural mass distributions are considered. This problem is formulated as a nonconvex semi-definite programming problem with Bi-linear Matrix Inequality (BMI) constraints. The proposed algorithm consists of iteratively tightening a linear relaxation of that problem. A new family of linear constrain… Show more
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