Truss shape and members'' discrete cross-sectional areas optimization mathod
碩士 === 國立中央大學 === 土木工程研究所 === 95 === In this paper, a structural optimization algorithm which combines evolutionary structure optimization method and fully stress design method is proposed to optimize the shape and discrete sizing of a truss structure for weight minimization. Nodal coordinates and m...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2007
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| Online Access: | http://ndltd.ncl.edu.tw/handle/58138986809025515658 |
| Summary: | 碩士 === 國立中央大學 === 土木工程研究所 === 95 === In this paper, a structural optimization algorithm which combines evolutionary structure optimization method and fully stress design method is proposed to optimize the shape and discrete sizing of a truss structure for weight minimization. Nodal coordinates and members’ cross-sectional areas are considered as design variables. The structure is subjected to stress, Euler buckling stress and nodal displacement constraints under multiple load cases. Two types of design variables with different natures are optimized separately: 1) the evolutionary node shift method is applied to optimize shape variables, and 2) a fully stressed design (FSD) algorithm is applied to optimize sizing variables, and then round up to discrete values. The evolutionary node shift method is following the idea of evolutionary structure optimization (ESO) method. Nodal position is shifted evolutionarily by means of sensitivity analysis. The Kuhn-Tucker optimality conditions are employed as the convergence criteria for shape optimization. Alternating procedure is implemented to couple the two types of design variables and to synthesize the obtained results. The optimum solution is achieved gradually from the initial design by the combination of the two methods.
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