Homologous Topology Optimization in Large Displacement and Buckling Problems

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概要

• 論文の詳細を見る

• The paper deals with homologous topology optimization of structures undergoing large deformations. The objective function is defined so that the load-displacement curve follows the prescribed trajectory, which shows a typical snap-through buckling. The geometrically non-linear behavior of the structures is modeled using the total-Lagrangian finite element formulation and the equilibrium is found using a Newton-Raphson iterative scheme. In order to escape from the singularity at critical points, the displacement control is utilized. The sensitivities of the objective functions are found with the adjoint method and the optimization problem is solved using the sequential linear programming method. Two algorithms are proposed to obtain homologous deformation. Several numerical examples are demonstrated to validate the present optimization method.

• 一般社団法人日本機械学会の論文
• 2001-10-15

著者

• NOGUCHI Hirohisa

  Department of System Design Engineering, Keio University

• Noguchi Hirohisa

  Department Of Mechanical Engineering Keio Univ.

• SEKIMOTO Tatsuo

  IBM Japan, Ltd., Fujisawa Office

• Sekimoto Tatsuo

  Ibm Japan Ltd. Fujisawa Office

関連論文

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• Multi-objective topology optimization with creative design
• Homologous Topology Optimization in Large Displacement and Buckling Problems
• A Modified Wavelet Galerkin Method for Analysis of Mindlin Plates
• Development of a Sensitivity Analysis Method for Nonlinear Buckling Load
• Integrated FEM Formulation for Total/Updated-Lagrangian Method in Geometrically Nonlinear Problems
• Kinking Analysis by Hyper-Elastic Finite Element Method

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