Construction method of the cost function for the minimax shape optimization problem

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概要

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• The present paper describes a method by which to formulate a shape optimization problem of a linear elastic continuum for minimizing the maximum value of a strength measure, such as the von Mises stress. In order to avoid the irregularity of the shape derivative of the maximum value, the Kreisselmeier-Steinhauser function of the strength measure is used as the cost function. In the cost function, a parameter is used to control the regularity of the shape derivative. In the present paper, we propose a rule by which to appropriately determine the parameter. The effectiveness of the proposed rule is confirmed through a numerical example of a cantilever problem.

著者

• Shintani Kouhei

  Nagoya University

• Azegami Hideyuki

  Nagoya University

関連論文

• Construction method of the cost function for the minimax shape optimization problem
• Shape derivative of cost function for singular point: Evaluation by the generalized J integral

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