A Study of Boundary Settings in the Design Domain for Structural Optimization Based on the Level Set Method(Mathematical Design,<Special Issue>Joint Symposium of JSIAM Activity Groups 2008)

Abstract

Structural optimization based on the level set method is a relatively new type of structural optimization that implicitly represents the outlines of a target structure, and allows topological changes as well as shape changes during the optimization process. One current major issue concerning this optimization method is that material boundaries in the admissible domain are unintentionally fixed when the level set function is updated, and as a result, inappropriate optimal configurations are obtained. To mitigate this problem, this paper proposes a new boundary setting method incorporating Dirichlet boundary conditions for the level set function.