3D Blade root shape optimization

A turbine blade with a curved entry root shape is optimized to achieve minimum plastic strain. Using the baseline finite element model two shapes are defined as shape variables by assigning the lower and upper bounds. Three different DOE studies Latin Hypercube, Hammersley and Box-Behnken with three approximations, Least Square Regression, Moving Least Square Method and Hyperkriging were made. 3D response surfaces for the stress as a function of the two shape variables were generated. Then an optimization study was performed. The combination of Box-Behnken with Hyperkriging is found to give the best result.

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