热结构稳态响应的耦合灵敏度分析方法

研究结构稳态热变形和热应力的灵敏度分析方法，给出了直接法和伴随法两种算法。考虑了温度场的耦合作用，在直接法中需要计算温度场对设计变量的导数，在伴随法中需要计算热载荷对温度场的导数。对尺寸和形状两类设计变量的灵敏度分析算例，验证了本文方法的精度。伴随法在应用程序中的实现，为大型结构优化提供了高效率的灵敏度计算方法。

Coupling sensitivity analysis of steady responses of thermal structures

This paper studies the method of structural sensitivity analysis for steady thermal deformation and thermal stresses, and the direct method and the adjoint method have been proposed. Considering the coupling effect of temperature field, the derivatives of temperature field with respect to design variables are required in sensitivity calculation for thermal loads and thermal stresses in the direct method, while the derivatives of thermal load with respect to temperature field are required in the adjoint method. A numerical example of sensitivity analysis with both size and shape design variables has demonstrated the accuracy of the methods of the paper. The implementation of the adjoint method in application software provides efficient sensitivity analysis for large-scale problems of structural design optimization.