Smooth Boundary Topology Optimization—A New Framework for Movable Morphable Smooth Boundary Method

The traditional topology optimization method of continuum structure generally uses quadrilateral elements as the basic mesh. This approach often leads to jagged boundary issues, which are traditionally addressed through post-processing, potentially altering the mechanical properties of the optimized structure. A topology optimization method of Movable Morphable Smooth Boundary (MMSB) is proposed based on the idea of mesh adaptation to solve the problem of jagged boundaries and the influence of post-processing. Based on the ICM method, the rational fraction function is introduced as the filtering function, and a topology optimization model with the minimum weight as the objective and the displacement as the constraint is established. A triangular mesh is utilized as the base mesh in this method. The mesh is re-divided in the optimization process based on the contour line, and a smooth boundary parallel to the contour line is obtained. Numerical examples demonstrate that the MMSB method effectively resolves the jagged boundary issues, leading to enhanced structural performance.