The invention discloses a BESO
topological optimization method based on a dynamic evolution rate and an adaptive grid and application thereof, and the method comprises the steps: building a finite
element model for a to-be-topologically optimized basic structure, and defining a
design domain, a load, a boundary condition and a
grid size; determining a constraint value and BESO necessary parameters; performing finite
element analysis on the structure after mesh division, and calculating unit sensitivity under a target function and a constraint condition; filtering the unit sensitivity and updating the constrained
Lagrange multiplier, and constructing the sensitivity of a Lagrange function; determining an evolution rate of the current iterative step based on a dynamic evolution rate functionof a
Logistic function according to the
volume rate of the current iterative step; and updating a design variable according to a
set constraint function, judging whether constraint conditions and convergence conditions are met or not, if not, performing grid adaptive updating, then performing unit updating, and stopping iteration until the constraint conditions and the convergence conditions aremet. According to the invention, the calculation amount of single finite
element analysis and the number of iterations required by
topological optimization are effectively reduced while high calculation precision is ensured, so that the total calculation time consumption of
topological optimization is greatly reduced.