BESO topology optimization method based on dynamic evolution rate and adaptive grid

摘要

PROBLEM TO BE SOLVED: To provide a BESO topology optimization method based on a dynamic evolution rate and an adaptive grid. A finite element model was created for the basic structure to be optimized, design domains, loads, boundary conditions and grid sizes were defined, constraints and parameters required for BESO were determined, and the grid was divided. Perform finite element analysis on the structure, calculate the unit sensitivity under the objective function and the constraint, filter the unit sensitivity, update the undetermined multiplier of the constraint Lagrange, build the sensitivity of the Lagrange function, the current iteration Determine the evolution rate of the current iterative step based on the dynamic evolution rate function of the Logistic function according to the volume factor of the step, and update the design variables based on the set constraint function to set the constraints and convergence conditions. It includes determining whether or not the conditions are met, and if not satisfied, updating the grid adaptively, performing unit updates, and stopping the iteration when the conditions are met. [Selection diagram] Fig. 1