| DESIGN OPTIMIZATION FOR TRUSS STRUCTURES UNDER ELASTO-PLASTIC LOADING CONDITION |
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| 作者姓名： | Liu Tao Deng Zichen |
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| 作者单位： | Liu Tao Deng Zichen (Department of Engineering Mechanics，Northwestern Polytechnical University，Xi'an 710072，China) (State Key Laboratory of Structural Analysis of Industrial Equipment，Dalian University of Technology，Dalian 116024，China) |
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| 基金项目： | 国家自然科学基金;教育部新世纪优秀人才支持计划;西北工业大学校科研和教改项目 |
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| 摘 要： | In this paper, a method for the design optimization of elasto-plastic truss structures is proposed based on parametric variational principles (PVPs). The optimization aims to find the minimum weight/volume solution under the constraints of allowable node displacements. The design optimization is a formulation of mathematical programming with equilibrium constraints (MPECs). To overcome the numerical difficulties of the complementary constraints in optimization, an iteration process, comprising a quadratic programming (QP) and an updating process, is employed as the optimization method. Furthermore, the elasto-plastic buckling of truss members is considered as a constraint in design optimization. A combinational optimization strategy is proposed for the displacement constraints and the buckling constraint, which comprises the method mentioned above and an optimal criterion. Three numerical examples are presented to show the validity of the methods proposed.
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| 关 键 词： | 参量变化原理 粘滞可塑性 桁架结构 最优化 屈曲 |
| 收稿时间： | 2005-11-16 |
| 修稿时间： | 2006-08-07 |
DESIGN OPTIMIZATION FOR TRUSS STRUCTURES UNDER ELASTO-PLASTIC LOADING CONDITION |
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| Liu Tao Deng Zichen.DESIGN OPTIMIZATION FOR TRUSS STRUCTURES UNDER ELASTO-PLASTIC LOADING CONDITION[J].Acta Mechanica Solida Sinica,2006,19(3):264-274. |
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| Authors: | Liu Tao Deng Zichen |
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| Institution: | 1. Universit Paris 13-CNRS, LSPM, UPR 3407, Villetaneuse, F-93430, France;2. Institute for Structural Mechanics, Ruhr-University Bochum, Bochum, Germany |
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| Abstract: | In this paper, a method for the design optimization of elasto-plastic truss structures is proposed based on parametric variational principles (PVPs). The optimization aims to find the minimum weight/volume solution under the constraints of allowable node displacements. The design optimization is a formulation of mathematical programming with equilibrium constraints (MPECs). To overcome the numerical difficulties of the complementary constraints in optimization, an iteration process, comprising a quadratic programming (QP) and an updating process, is employed as the optimization method. Furthermore, the elasto-plastic buckling of truss members is considered as a constraint in design optimization. A combinational optimization strategy is proposed for the displacement constraints and the buckling constraint, which comprises the method mentioned above and an optimal criterion. Three numerical examples are presented to show the validity of the methods proposed. |
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| Keywords: | parametric vanational principles elasto-plasticity truss structure optimization elasto-plasticity buckling |
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