关键词: 变密度法, 结构拓扑优化, 散热弱度, 敏度过滤, 灰度过滤

Abstract: In the areas of aerospace,automotive and integrated circuits,the thermal protection of structures had been a hot topic.Traditional experience-based design methods had failed to meet the high performance requirements in practical engineering,and the development of topology optimization brought a new way for design of heat insulation and heat dissipation structures.Based on the variable density method,topology optimization design of heat dissipation structures was researched under the condition of steady heat conductive.By taking the minimum heat dissipation of transport potential capacity as the objective,a topology optimization model was established.In this model,the density and volume ratio of material were taken as the design variable and constraint respectively.To realize the update of design variable,a new filter mechanism of combining the sensitivity filter with gray scale filter was proposed and introduced into the traditional optimality criteria method,which effectively avoided the gray scale material.The preconditioned conjugate gradient method was introduced into topology optimization design of three-dimensional heat dissipation structures,which improved the computational efficiency.Some two-dimensional and three-dimensional numerical examples were presented to demonstrate the feasibility and effectiveness of the established optimization model and proposed methods.

Key words: variable density method, structural topology optimization, heat dissipation, sensitivity filter, gray scale filter