Sensitivity analysis method and shape optimization of thermo-structural steady response

To overcome difficulty of high computational cost in difference sensitivity analysis, efficient derivatives are obtained using approximate-difference strategy based on combined approximation method. Combined approximation method is fit for reanalysis in both temperature and thermo-structural analysis models, and accurate sensitivity is obtained under small disturbance which is verified by numerical examples. Virtual displacements of control point are selected as design variables, shape optimization model of thermo-structural steady response is established. Some numerical examples are provided and results are discussed. Results are shown to demonstrate the feasibility and validity of the proposed method and model.