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Effect of uncertainty in cross-sectional property on reliability-based topology optimization of frame structures

机译:截面特性不确定性对框架结构基于可靠性的拓扑优化的影响

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Topology optimization methods using discrete elements such as frame elements can provide useful insights into the underlying mechanics principles of products, however the majority of such optimizations are performed under deterministic conditions. In order to consider variations of design parameters during the optimization, part of the authors presented a reliability-based topology optimization method for frame structures that considers uncertainties in applied loads and nonstructural mass at the early conceptual design stage. System reliability for multiple criteria, namely stiffness and eigen-frequency, is evaluated by regarding them as a series system, where mode reliabilities can be evaluated using first order reliability methods. In this study, the reliability-based optimization is expanded to consider variations on cross-sectional property of frame element on the optimum topology. Through numerical calculations, reliability-based topology designs of typical three-dimensional frames are obtained. The effect of uncertainties of cross-sectional property of frame element is investigated on the optimum topology.
机译:使用离散元素(例如框架元素)的拓扑优化方法可以提供对产品的基本力学原理的有用见解,但是大多数此类优化是在确定性条件下执行的。为了在优化过程中考虑设计参数的变化,部分作者提出了一种基于可靠性的框架结构拓扑优化方法,该方法在概念设计初期就考虑了施加载荷和非结构质量的不确定性。通过将多个标准(即刚度和本征频率)视为一个串联系统,可以评估系统的可靠性,其中可以使用一阶可靠性方法来评估模式可靠性。在这项研究中,扩展了基于可靠性的优化,以考虑最佳拓扑上框架元素的截面特性的变化。通过数值计算,获得了典型三维框架基于可靠性的拓扑设计。研究了框架单元截面特性不确定性对最优拓扑的影响。

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