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目的给出一种受热负荷作用的结构形状优化设计方法并编制相应的优化软件。方法通过建立受热负荷作用的结构形状优化数学模型，推导温度敏度、轴对称结构的位移敏度、应力敏度和疲劳安全系数敏度的解析表达式，并用程序予以实现；开发一个基于ＮＤＰ有限元分析软件的热负荷结构分析及形状优化设计软件模块。结果用所开发的软件对两种定型生产的活塞进行优化设计，使活塞在满足约束条件的情况下达到了减重或降低最高温度的优化目标。结论用解析方法求解敏度精度高，能得到较好的优化效率和收敛性。该方法可用于受热零件结构的形状优化设计中。
Aim To provide a method of structural shape optimization based on heat load and to develop corresponding optimization software. Methods The analytical model of temperature sensitivity, displacement sensitivity, stress sensitivity and fatigue sensitivity coefficient sensitivity of temperature-sensitive and fatigue-susceptible structures was derived through the establishment of a mathematical model of structure optimization under the action of heat load. Metabolomics of heat load structure analysis and shape optimization design software module. Results Using the developed software, two types of pistons were designed and optimized so that the piston achieved the optimization goal of weight reduction or maximum temperature reduction under the condition of restraint. Conclusion Analytical method with high sensitivity and accuracy can get better optimization efficiency and convergence. This method can be used in the shape optimization design of the heated part structure.