基于节点竖向移动的预应力单层网壳结构形态创建方法

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英文篇名：Morphogenesis technique for prestressed single-layer reticulated shells based on vertical moving of node 作者：杨海军 ; 沙晓庆 ; 熊康栋 英文作者：YANG Hai-jun;SHA Xiao-qing;XIONG Kang-dong;Hebei Institute of Architecture and Civil Engineering; 关键词：预应力单层网壳 ; 结构形态 ; 索力值优化 ; 应变能灵敏度 英文关键词：prestressed single-layer reticulated shells;;structural morphology;;cable pretension tension optimization;;strain energy sensitivity 中文刊名：KJJG 英文刊名：Spatial Structures 机构：河北建筑工程学院; 出版日期：2019-06-15 出版单位：空间结构 年：2019 期：v.25;No.100 基金：河北省教育厅重点项目(ZD2017027) 语种：中文; 页：KJJG201902005 页数：6 CN：02 ISSN：33-1205/TU 分类号：27-32

摘要

研究了预应力加载程度、节点高度变化两类不同设计变量对预应力单层网壳结构承载力的影响.建立以索力值、节点竖向坐标为设计变量,以结构储存应变能最小为目标函数,以结构允许变化空间作为约束条件的优化数学模型.在优化方法上,首先以结构储存应变能最小确定索力值,然后计算节点应变能对竖向坐标灵敏度,以调整节点空间位置进一步减小结构应变能,改善结构受力状态,反复迭代,直至结构形态最优.算例表明本文提出的拉索预应力单层网壳结构形态创建方法可行.
        The influence of prestress loading degree and node height variation on the bearing capacity of prestressed single-layer reticulated shell is studied. The optimization mathematical model is established in such a form that the cable pretension force and the node vertical coordinate are design variables, the structure allowable changing space is constrain condition, and the minimum structural total strain energy is objective function. As for the optimization method, cable pretension force can firstly be determined by minimizing structural strain energy. After that, strain energy sensitivity of node vertical coordinates is calculated to adjust node spatial position, reduce the structural strain energy and improve structural mechanical behavior. Lastly, iteration is repeated until the structure is optimal. The example indicates that the proposed optimization design method for prestressed single-layer reticulated shells is feasible.

引文

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