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| Second-order approximated alogrithm of using K-S function to intergrate local performance constraints in structural topology optimization |
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Abstract The K-S ( Kreisselmeier-Steinhauser ) function is used to integrate local performances such as stress and fatigue life in structural topology optimization; and then a method of solving the model was proposed. First, for the single objective and multiple constraints model ( called s-model ) and multiple objective and single constraint model ( called m-model ) in the inverse programming, optimization models are established by utilizing K-S function integration based on the ICM method. The first and second order derivatives of constraint ( s-model ) and objective ( m-model ) functions on design variables are deduced. The sequential quadratic programming model is used to solve the optimization model iteratively. The iterative formula for quadratic programming model is given according to the K-T condition. Then, based on the K-S function integration, the iterative solution to s-model is described, that is, the integration method. Finally, based on K-S function integration, the iterative solution to s-model and m-model alternately is described, that is, the integration-integration method. The results show that the integration-integration method converges faster than the integration method.
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Received: 23 September 2021
Published: 17 June 2022
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2022, Vol. 43 
