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Reliability-based Optimal Design Of Truss Structures Using Particle Swarm Optimization

机译：基于粒子群算法的桁架结构可靠性优化设计

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In this work, the particle swarm optimization method is employed for the reliability-based optimal design of statically determinate truss structures. Particle swarm optimization is inspired by the social behavior of flocks (swarms) of birds and insects (particles). Every particle's position represents a specific design. The algorithm searches the design space by adjusting the trajectories of the particles that comprise the swarm. These particles are attracted toward the positions of both their personal best solution and the best solution of the swarm in a stochastic manner. In typical structural optimization problems, safety is dealt with in a yeso manner fulfilling the set of requirements imposed by codes of practice. Considering uncertainty for the problem parameters offers a measure to quantify safety. This measure provides a rational basis for the estimation of the reliability of the components and of the entire system. Incorporating the reliability into the structural optimization framework one can seek a reliability-based optimal design. For the problems examined herein, the reliability indexes of the structural elements are obtained from analytical expressions. The structure is subsequently analyzed as a series system of correlated elements and the Ditlevsen bounds are used for the calculation of its reliability index. The uncertain-random parameters considered in this work are the load, the yield-critical stress; and the cross sections of the elements. The considered design variables of the optimization problem are the cross-sectional areas of the groups, which control the size of the truss, and the heights and lengths that control the shape of the truss. The results of the optimization are presented for a 25-bar truss and a 30-bar arch and the robustness of the optimization scheme is discussed.
机译：在这项工作中，采用粒子群优化方法对基于静力确定的桁架结构进行基于可靠性的优化设计。粒子群优化的灵感来自鸟类和昆虫（粒子）的群（群）的社会行为。每个粒子的位置代表一个特定的设计。该算法通过调整构成群体的粒子的轨迹来搜索设计空间。这些粒子以随机的方式被吸引到其个人最佳解决方案和群的最佳解决方案的位置。在典型的结构优化问题中，以是/否的方式处理安全性，以满足实践准则提出的一系列要求。考虑问题参数的不确定性提供了量化安全性的措施。该措施为估算组件和整个系统的可靠性提供了合理的基础。将可靠性纳入结构优化框架可以寻求基于可靠性的优化设计。对于本文所研究的问题，从解析表达式获得结构元件的可靠性指标。随后将结构分析为一系列相关元素的系统，并使用Ditlevsen边界计算其可靠性指标。在这项工作中考虑的不确定随机参数是载荷，即屈服临界应力。以及元素的横截面。优化问题考虑的设计变量是控制桁架尺寸的组的横截面面积，以及控制桁架形状的高度和长度。给出了25杆桁架和30杆拱的优化结果，并讨论了优化方案的鲁棒性。

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