关键词: 热传导, 拓扑优化, 密度法, 最小热量传递势容耗散, 滤波技术

Abstract:

The existing methods for the optimal design of heat conduction structures mainly focus on the optimiza-tion of the shape and the size.But the obtained topology may not be the optimal one due to the absence of the initial optimal topology.To seek the optimal topology for heat conduction structures,the well-rounded topology methodolo-gY and algorithms in structural mechanics are adopted in the optimal design of heat conduction structures,with the least dissipation of heat transport potential capacity as the optimal objective.Then the topology optimization model of heat conduction is established and the corresponding optimization criteria are proposed based on the density ap-proach.Moreover,during the calculation process,a filtering technique based on the convolution is employed in density field to eliminate numerical instability.Numerical examples in different conditions are finally presented to demonstrate the corectness and validity of the proposed method,with the results laying a reliable foundation for the subsequent shape and size optimizations in thermal engineering.

Key words: heat conduction, topology optimization, density approach, least dissipation of heat transport potential capacity, filtering technique