Research Of Topology Optimization Design On Nonlinear Analysis

Topology optimization is the hottest issue in the field. Currently, most works on structural optimization are concerned with the optimal design of structures with linear material and small deformation. However, most of the structures are generally nonlinear materials, especially steel structure stability analysis related to the geometric nonlinearity. Therefore, taking into account the topology optimization of geometric and material nonlinearity research is necessary. The study is to establish the basic theory of nonlinear structural topology optimization, and has great practical value for improving structural design methods.Main works are as follows:First, the topology optimization process of nonlinear structures is given based on the traditional ESO method. By calculating abuttal entropy of the element, and according to the characteristics of abuttal entropy in three-dimensional model, increasing the element removal policy in the iterative process, the improved ESO method is proposed. And on ANSYS secondary development platform achieves nonlinear structural topology optimization process based on the improved ESO method.Secondly, aimed at the problem of the value of optimization parameters in the secondary development process, using genetic algorithm optimizes the parameters and selecting the extreme point of topology optimization problems by performance index PI in a certain range. So the result of the topology optimization of the parameters is the optimal solution.At last, through some practical examples, the validity and superiority of the improved ESO method has been demonstrated for solving nonlinear structural topology optimization. The superiority of based on genetic algorithm to optimize the parameters has been proved by these examples.The results of the study indicate that the improved ESO topology optimization method can reduce the number of iterations and eliminate the checkerboard phenomenon. Therefore, optimize the design parameters with integrating optimization software mode FRONTIER with ANSYS and considering nonlinear topology optimization procedure for abuttal entropy. It solves the optimization parameter is sensitive to the initial value problem, and gets reasonable topology optimization results finally.