In this paper we consider the classical minimum compliance topology optimization in linear elasticity. In our approach, the objective is to minimize a cost functional that comprises the work of applied body and traction forces obtaining simultaneously the optimal topology and the optimal localization for proportional actuators on the concerning structural domain. A proportional actuator is considered as a spring and one of the objectives is to obtain the optimal local to couple it on the structure. The problem is treated as a topology optimization problem where a given cost functional must be minimized under suitable constraints for external forces, control energy, volume restriction and a set of project variables. The topology optimization procedure here performed uses the solid isotropic material with penalization approach, based on the concept of optimizing the material distribution. The solution of the optimization problem is obtained by using a sequential linear programming and the finite element method is used to discretize the design domain. Several numerical examples are presented showing the effectiveness of the proposed approach.
SeMA Journal – Springer Journals
Published: Aug 24, 2016
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