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对具有随机参数的连续结构进行了基于热可靠性的导热拓扑优化研究。在连续体结构的热分析中将导热系数、内热源以及边界给定温度分布函数的幅值等均视为随机参数。导出了结构随机温度场的数字特征,定义了以温度随机变量不超越其临界值的热可靠性,建立了以结构总散热弱度均值最小化为目标函数、以给定热可靠度和体积比为约束函数的结构拓扑优化模型。对热可靠性概率约束函数进行了等价显式化处理,并利用移动渐进拓扑优化方法对优化模型求解。通过两个算例证明,该优化模型具有合理性,对其求解的方法是有效的。
The thermal structure based on thermal reliability is studied for the continuous structure with random parameters. In the thermal analysis of continuum structure, the thermal conductivity, the internal heat source and the amplitude of the given temperature distribution function of the boundary are all regarded as random parameters. The numerical characteristics of random temperature field are deduced, and the thermal reliability whose temperature random variable does not exceed the critical value is defined. The objective function is to minimize the mean value of the overall thermal weakness of the structure. Based on the given thermal reliability and volume ratio Structural Topology Optimization Model for Constraint Function. Equivalent explicit treatment is applied to the probability of probability constraint function of thermal reliability, and the optimal model is solved by the method of moving asymptotic topology optimization. The two examples show that the optimization model is reasonable and the method of solving it is effective.