Strategy of Sensitivity Hierarchical Filtering for Overcoming Load Sickness Phenomenon of Continuum Topology Optimization

Abstract

To solve the phenomenon of load sickness in which the transfer path of the weak load disappears by using the traditional topology optimization method, a simple and effective strategy of sensitivity hierarchical filtering was proposed. The loads were stratified by magnitude, and the strain energy corresponding to the structure was calculated. On this basis, two coefficients were introduced, which were used for comparison and amplifying the influence of strain energy. Then, the sensitivities were stratified on the basis of degree, and the sensitivity of different stratification was filtered by different filters to obtain the optimal material layout under multi-load. The strategy was proposed in the framework of SIMP and solved by OC method. Both two-dimensional and three-dimensional numerical examples were presented to show the effectiveness of the proposed strategy, demonstrating that the strategy can effectively overcome the phenomenon of load sickness, and provide important guidance for the completed structural force distribution of the structure.

Keywords: structure optimization,  load sickness,  SIMP method,  hierarchical sensitivity filtering,  topology optimization