A self-supporting microstructure topology optimization method considering overhung angles and minimum size constraints

The invention belongs to the technical field related to structural optimization design, and discloses a self-supporting microstructure topology optimization method considering overhung angles and minimum size constraints. The method comprises the following steps: (1) initializing relative unit density of micro-structure, material volume fraction, material attribute parameter and optimization algorithm parameter; (2) projecting the relative unit density of the microstructure to a density constrained by a cantilever angle and a minimum size, and obtaining a displacement field of the microstructure; (3) obtaining the equivalent elastic tensor of the microstructure, and carrying out sensitivity analysis on the topology optimization model of the microstructure, and then constructing an optimization criterion to update the relative unit density of the microstructure; (4) judging whether the current relative cell density satisfies the iterative convergence condition, and if so, outputting theoptimal microstructure c