Regular solution to topology optimization problems of continua

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概要

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• The present paper describes a numerical solution to topology optimization problems of domains in which boundary value problems of partial differential equations are defined. Density raised to a power is used instead of the characteristic function of the domain. A design variable is set by a function on a fixed domain which is converted to the density by a sigmoidal function. Evaluation of derivatives of cost functions with respect to the design variable appear as stationary conditions of the Lagrangians. A numerical solution is constructed by a gradient method in a design space for the design variable.

著者

• Azegami Hideyuki

  Graduate School of Information Science, Nagoya University

• Kaizu Satoshi

  College of Science and Technology, Nihon University

• Takeuchi Kenzen

  Quint Corporation

関連論文

• Numerical solution to shape optimization problems for non-stationary Navier-Stokes problems
• Regular solution to topology optimization problems of continua
• Error analysis of the H1 gradient method for shape-optimization problems of continua
• The existence of solutions to topology optimization problems

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