Optimum Design of Elastic-plastic Column

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概要

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• A method of optimum design for maximizing the buckling load of an elastic-plastic column of given volume, length, and material is presented. The column material is assumed to obey Ramberg-Osgood's deformation law and the buckling load is computed by means of the finite element method taking account of the tangent modulus theory. Rosen's gradient projection method is used for determining the optimum shape. Numerical results obtained for a simply supported column with similar cross section are shown to be in reasonably good agreement with the analytical solution proposed in a previous paper. As for new treated examples of columns with other cross sections and boundary conditions, it also seems that reasonable solutions are obtainable by the proposed method. Furthermore, we treat the problems including the constraint on a lower bound of the cross sectional areas of columns.

• 一般社団法人日本機械学会の論文

著者

• Okumura Atsubumi

  School Of Science And Engineering Waseda University

• AMARI Masahiko

  School of Science and Engineering,Waseda University

• Amari Masahiko

  School Of Science And Engineering Waseda University

• AMARI Masahiko

  School of Science and Engineering, Waseda University

関連論文

• Optimum Design of Structures with Regard to Their Vibrational Characteristic : 2nd Report, The Type-1-problems of Structural Elements Having 1-section-freedom and 2-section-freedom
• Optimum Design of Framed Srtuctures with Regard to Elastic Buckling
• Optimum Design of Columns Involving Plastic Buckling
• Optimum Design of Structures with Regard to Their Vibration Characteristic : 1st Report, A General Method of Optimum Design
• Optimum Design of Structures with Regard to Their Vibration Characteristic : 3rd Report, The Type-2-problems of Rods and Cantilevers, and Reciprocal Relation between Two Basic Types of Problems
• Optimum Design of Elastic-plastic Column

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