Total Optimization of Truss Considering Shape, Material and Sizing Variablesby Sadaji Ohkubo, Ehime Univ, Japan,
Tuyoshi Nakajima, Ehime Univ, Japan,
Kazuhiro Asai, Ehime Univ, Japan,
Abstract: A total optimum design method is developed for truss structures in which the shape of the structure, discrete material kinds and cross-sectional areas of member elements are optimized simultaneously. The primal design problem is formulated in terms of the shape, material and sizing design variables and approximated to a sequence of conservative, convex and separable subproblems by using mixed direct/reciprocal design variables. Each subproblem is solved by dual method in which 2-stage minimization process is developed to optimize the continuous and discrete variables by using Newton-type algorithm and discrete sensitivity analysis. The design method is applied to the minimum cost design problems a subject to stress and displacement constraints and the reliability and efficiency of the proposed method are demonstrated.
Subject Headings: Structural design | Trusses | Structural analysis | Sensitivity analysis | Optimization models | Algorithms | Construction materials | Cross sections
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