COUPLING SENSITIVITY ANALYSIS AND DESIGN OPTIMIZATION OF THERMO-STRUCTURAL TRANSIENT RESPONSES
热结构瞬态响应的耦合灵敏度分析方法与优化设计

The numerical methods of sensitivity analysis and design optimization for structures with transient thermal deformation and thermal stresses as design criterions are studied in this paper. In the sensitivity analysis of thermal stress and deformation, two kinds of algorithms of the direct method and the adjoint method have been proposed and the coupling effect of temperature field is considered. To deal with the coupling effect of temperature field, the derivatives of temperature field with respect to 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 the temperature field are required in the adjoint method. A numerical example is given to demonstrate the effectiveness of shape design optimization reducing the thermal stress, evaluate the accuracy of sensitivity analysis methods, and show the effect of temperature field derivatives in the coupling sensitivity analysis. The implementation of the adjoint method in application software provides efficient sensitivity analysis for large-scale problems of structural design optimization.