六杆四面体柱面网壳的截面尺寸优化研究

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英文篇名：RESEARCH ON SIZE OPTIMIZATION OF SIX-BAR TETRAHEDRAL CYLINDRICAL LATTICED SHELLS 作者：周一一 ; 夏聪 ; 沈炜 ; 陈联盟 英文作者：ZHOU Yiyi;XIA Cong;SHEN Wei;CHEN Lianmeng;School of Environmental & Safety Engineering,Changzhou University;School of Civil Engineering and Architecture,Changzhou Institute of Technology;XIE Engineering Technology (Changzhou) Ltd;School of Architecture and Civil Engineering,Wenzhou University; 关键词：六杆四面体 ; 柱面网壳 ; 质量参与系数 ; 频率最大化 英文关键词：six-bar tetrahedral unit;;cylindrical latticed shell;;mass participation coefficient;;frequency maximization 中文刊名：GYJZ 英文刊名：Industrial Construction 机构：常州大学环境与安全工程学院;常州工学院土木建筑工程学院;谢亿民工程科技(常州)有限公司;温州大学建筑与土木工程学院; 出版日期：2019-03-20 出版单位：工业建筑 年：2019 期：v.49;No.554 基金：国家自然科学基金面上项目(51678082,51578422) 语种：中文; 页：GYJZ201903030 页数：6 CN：03 ISSN：11-2068/TU 分类号：90+153-157

摘要

对于重复性模块组成的空间结构,参数化的几何堆叠仅解决其构形,传统力学分析也无法解决其力学性能优化问题,主要还是依靠工程师的工作经验来进行优化设计。董石麟教授提出的六杆四面体柱面网壳是一种由相似的四面体模块组成的空间结构,具有线性重复性特点。针对六杆四面体柱面网壳进行截面尺寸优化研究,以关键阶频率最大化为主要策略,结合折衷规划法和质量参与系数确立目标函数,实现1、9、13、54、56、80这六阶频率最大化。优化结果表明:在结构整体减重9. 92%的前提下,结构刚度提高了约12. 25%,各阶频率都有显著增加,起到了良好的优化效果。并验证了线性重复性空间结构截面尺寸优化的可行性。
        For the spatial structure composed of repetitive modules,parametric design only solves its configuration,traditional mechanical analysis can not solve its optimization problem in mechanical properties. It mainly relies on engineers' working experience to optimize the original design. The six-bar tetrahedral cylindrical reticulated shell proposed by Professor Dong Shilin is a spatial structure composed of similar tetrahedral modules,which has the characteristics of linear repeatability. In the paper,the cross-section size optimization of six-bar tetrahedral cylindrical latticed shells was studied. The main strategy was to maximize the critical order frequencies. The objective function was established by combining the compromise programming method and the mass participation coefficient to maximize the six order frequencies of 1,9,13,54,56 and 80. The optimization results showed that the stiffness of the structure was increased by 9. 92% on the premise of 12. 25% overall weight loss,the frequencies of each order were also significantly increased,and showed a good optimization effect. The results also verified the feasibility of optimizing the section size of linear repetitive spatial structure.

引文

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