A proportional topology optimization method with level-set description and evolutionary strategy

In this work, we propose a proportional topology optimization method with a level-set description and evolutionary strategy (PTO-LSES). A level-set function (LSF) evolution scheme based on the nodal compliance proportion is presented and utilized in the new method. Furthermore, a compliance proportion filtering technique, a regularization scheme, and a material interpolation model with penalty are also used in the proposed method. To determine the effectiveness and superiority of the PTO-LSES method, both the 2D (cantilever beam) and 3D (cantilever and half-MBB beams) numerical examples solving the compliance minimization problem, in contrast to the conventional solid isotropic material with penalization (SIMP) and the original proportional topology optimization (PTO) methods, were tested. In addition, we discuss the impact of compliance proportion filtering and regularization schemes on the new method using 2D half-MBB and cantilever beams. The results showed that compared to the SIMP and PTO methods, the PTO-LSES method offered great advantages via the ability to acquire better objective function (compliance) values and more ideal topology structures with smooth and clear boundaries when subjected to specific conditions. Furthermore, applying the compliance pro-portion filtering technique or regularization scheme to the PTO-LSES method enhanced the performance of the new method in many ways.