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Node shift method for stiffness-based optimization of single-layer reticulated shells*

机译:单层网状壳体基于刚度优化的节点移位方法*

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This paper presents a node shift method to find the optimal distribution of nodes in single-layer reticulated shells. The optimization process searches for the minimum strain energy configuration and this leads to reduced sensitivity in initial imperfections. strain energy sensitivity numbers are derived for free shift and restricted shift where nodes can move freely in the 3D space or have to move within a predefined surface respectively. Numerical examples demonstrate the efficiency of the proposed approach. It was found that optimized structures achieve higher ultimate load and are less sensitive to imperfections than the initial structure. The configuration of the final structure is closely related to factors like the initial structural configuration, spatial conditions, etc. Based on different initial conditions, architects can be provided with diverse reasonable structures. Furthermore, by amending the defined shapes and nodal distributions, it is possible to improve the mechanical behavior of the structures.
机译:本文介绍了一个节点移位方法,以找到单层网状壳中的节点的最佳分布。优化过程搜索最小应变能量配置,这导致初始缺陷中的灵敏度降低。菌株能量敏感性数量被用于自由移位和限制移位,其中节点可以在3D空间中自由移动,或者必须分别在预定表面内移动。数值例证证明了所提出的方法的效率。发现优化的结构实现了更高的最终负载,并且对缺陷的敏感性低于初始结构。基于不同的初始条件,最终结构的配置与初始结构配置,空间条件等的因素密切相关。建筑师可以提供各种合理的结构。此外,通过修改定义的形状和节点分布,可以改善结构的机械行为。

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