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Layout and Sizing Optimization of Discrete Truss Based on Continuum

机译:基于连续谱的离散桁架布局与尺寸优化

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摘要

A new method combined continuum topology with discrete truss is proposed for truss optimization. The optimized material distribution is obtained by means of continuum topology optimization and then transformed into initial truss. Based on the element principal stress and 8-neighborhood elements of continuum, force flow path extraction method is presented to obtain the initial truss layout. For section size optimization, criterion is deduced from a mathematical model by Lagrange multiplier method. Leveraging the free-form nature of continuum, this method can avoid the restriction of traditional ground structure. And it can achieve a better solution with less mass, smaller deformation and more uniform stress.
机译:提出了一种将连续体拓扑与离散桁架相结合的新方法来进行桁架优化。通过连续体拓扑优化获得优化的材料分布,然后将其转换为初始桁架。基于单元主应力和连续体的8邻域单元,提出了力流路径提取方法以获得初始桁架布置。对于截面尺寸优化,通过拉格朗日乘数法从数学模型中推导准则。利用连续体的自由形式性质,该方法可以避免传统地面结构的限制。它可以以更少的质量,更小的变形和更均匀的应力实现更好的解决方案。

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