薄壁梁系的可靠性优化设计
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摘要
以结构系统的可靠度作为薄壁梁系结构的优化控制参数。用改进的分枝眼界法判从主要失效模式。用PNET法计算结构系统的可靠度。导出了两种梁系结构可靠度的灵敏度分析表达式。提出最佳矢量型算法的选代公式，有效地求解了Ⅰ型截面梁系结构在系统可靠度约束下的最小重量设计问题；且在其中通过设计变量连接来满足薄壁梁的稳定性要求。算例的结果说明了方法的有效性。
In this paper, the reliability of structural system is regarded as the control parameter for the optimization design of the thin walled beam system. The significant failure modes are identified by using the modified branch-and-bound method. The reliability of the structural system is evaluted by PNET method. The expressions of sensitivity analysis for two beam system reliabity are derived. A optimum vector algorithm is presented to slove the problem of minimum weight design with the costraint of I-type section beam system reliability. The stability of the thin plate is regarded by design variable link. The results of evaluated examples demonstrate that the method presented in this Paper is effective.
In this paper, the reliability of structural system is regarded as the control parameter for the optimization design of the thin walled beam system. The significant failure modes are identified by using the modified branch-and-bound method. The reliability of the structural system is evaluted by PNET method. The expressions of sensitivity analysis for two beam system reliabity are derived. A optimum vector algorithm is presented to slove the problem of minimum weight design with the costraint of I-type section beam system reliability. The stability of the thin plate is regarded by design variable link. The results of evaluated examples demonstrate that the method presented in this Paper is effective.
引文
1Thoft -Christensen P , Murotsu Y . Application of Structural Systems Reliability Theory . Sp ringer-verlag, Berlin, 1986.
2蔡雨林,安伟光,陈卫东.空间行架结构基于可靠性的优化设计.第六届空间结构学术会议论文集.北京:地震出版社,1992.
3王光远.工程软设计理论.北京:科学出版社,1992.
4蔡荫林,蒋东宁.一种基于可靠性的框架结构优化方法.强度与环境,1996(3):15～21
5蔡雨林,顾海涛.桐架结构系统可靠度的敏度分析.航空学报,14(7):A342～A347
6蔡雨林,江允正.应用近似概念和多种约束删除方法的结构优化设计.哈尔滨工程学院学报,1982(3)(1):55～65
7 Lust R V and Schmit L, A. Alternative Approximation Concept for Space Frame Synthesis, NASA,CR-172526.1985
8 S P铁摩辛柯,J M盖莱著,张福范译.弹性稳定理论(第二版).北京:科学出版社,1965
9杨桂通.弹塑性力学.北京:人民教育出版社,198o.
2蔡雨林,安伟光,陈卫东.空间行架结构基于可靠性的优化设计.第六届空间结构学术会议论文集.北京:地震出版社,1992.
3王光远.工程软设计理论.北京:科学出版社,1992.
4蔡荫林,蒋东宁.一种基于可靠性的框架结构优化方法.强度与环境,1996(3):15～21
5蔡雨林,顾海涛.桐架结构系统可靠度的敏度分析.航空学报,14(7):A342～A347
6蔡雨林,江允正.应用近似概念和多种约束删除方法的结构优化设计.哈尔滨工程学院学报,1982(3)(1):55～65
7 Lust R V and Schmit L, A. Alternative Approximation Concept for Space Frame Synthesis, NASA,CR-172526.1985
8 S P铁摩辛柯,J M盖莱著,张福范译.弹性稳定理论(第二版).北京:科学出版社,1965
9杨桂通.弹塑性力学.北京:人民教育出版社,198o.
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