Abstract: A material-based subdomain hybrid cellular automata algorithm for solving material optimization of thin-walled frame structures includes an outer loop and an inner loop. The outer loop is to define and update the target cost for the inner loop, and the inner loop is to adjust material using a PID control strategy according to the nominal flow stress of a current cell and the nominal flow stress of candidate materials, so that a current cost of the inner loop converges to the target cost. The material-based subdomain hybrid cellular automata algorithm can effectively solve a nonlinear dynamic response optimization problem in the discrete design space.

Abstract: A subdomain hybrid cellular automata method for solving car body thickness optimization includes an outer loop and an inner loop: the outer loop is to conduct crash finite element simulation analysis, calculate an output response, and update a cell internal energy density, and update a target mass using a penalty function method; the inner loop is mainly to adjust a cell thickness using a PID control strategy according to internal energy densities of a current cell and neighboring cells thereof, so that a current mass of the inner loop converges to the target mass; and finally the cell internal energy density distribution approaches a step target internal energy density function as much as possible. Step target internal energy density update rules are provided in the inner loop. Cell thickness update rules based on a PID control strategy are provided in the inner loop.

Abstract: A subdomain hybrid cellular automata method for solving car body thickness optimization includes an outer loop and an inner loop: the outer loop is to conduct crash finite element simulation analysis, calculate an output response, and update a cell internal energy density, and update a target mass using a penalty function method; the inner loop is mainly to adjust a cell thickness using a PID control strategy according to internal energy densities of a current cell and neighboring cells thereof, so that a current mass of the inner loop converges to the target mass; and finally the cell internal energy density distribution approaches a step target internal energy density function as much as possible. Step target internal energy density update rules are provided in the inner loop. Cell thickness update rules based on a PID control strategy are provided in the inner loop.