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Reliability-based optimization of spatial shell trusses under multi-loading conditions

机译:多载荷条件下基于空间壳桁架的可靠性优化

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The paper studies two alternative formulations of Reliability-Based Optimization (RBO) problem for truss structures subject to various load cases. The considered RBO problem concerns minimization of structural volume under probabilistic reliability constraints. For the reliability analysis, FORM and Ditlevsen bounds methods are employed. The design variables are taken as cross-sectional areas of truss bars. The constraints imposed on reliability indices of failure elements and failure systems are considered. The failure due to various load cases is modeled as a set of limit states (elemental approach) or as a system of limit states (system approach). A numerical example of spatial truss is presented to illustrate two alternative formulations. Results of optimization are compared and conclusions are drawn.
机译:本文研究了受各种载荷工况影响的桁架结构基于可靠性的优化(RBO)问题的两种替代公式。所考虑的RBO问题涉及在概率可靠性约束下结构体积的最小化。为了进行可靠性分析,采用了FORM和Ditlevsen边界方法。设计变量取为桁架横梁的横截面积。考虑对失效元件和失效系统的可靠性指标施加的约束。由于各种工况导致的故障被建模为一组极限状态(基本方法)或一个极限状态系统(系统方法)。给出了空间桁架的数值示例,以说明两个替代公式。比较优化结果并得出结论。

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