摘要
随着计算机技术的发展,基于有限元优化的拓扑优化算法在工程设计领域得到广泛应用,以提高结构性能和节约材料.在空间结构领域,目前还并未形成系统性的结构优化策略,主要还是依靠工程师的工作经验来进行优化设计.董石麟教授等提出的六杆四面体网壳是一种由相似的四面体模块组成的空间结构,具有重复性和装配性等特点.本文以六杆四面体网壳为分析对象,进行了结构频率最大化的优化设计.根据挑选出的质量参与系数总和超过90%的7阶模态,建立优化函数最大化这7阶模态的频率,以此提高整个结构的动力学性能.优化结果表明,在结构整体减重18.31%的前提下,各阶频率增加了20%到30%,起到了良好的效果.
With the development of computer technology, many algorithms for topology optimization are widely used in engineering design to improve structural performance and save materials. Nevertheless, the application of optimization is still based on engineer’s work experience. Systematic optimization strategies are in urgent demand. In recent years, a novel lattice shell composed of six-bar tetrahedral unit is proposed in Zhejiang University with the characteristics of repeatability and assembility. This paper is devoted to the maximum frequency optimization of the lattice shell design by optimizing the cross-sectional dimensions of the bars and beams. In comparing and selecting the main 7 order modes of the structure to make the total mass participation coefficient reach 0.9, after setting an optimization function to maximize the frequency of the 7 order modes, the dynamic performance of the whole structure is effectively enhanced. The results show that after losing 18.31% of mass weight, the selected frequencies increased between 20% to 30%.
作者
周一一
夏聪
白光波
陈联盟
ZHOU Yi-yi;XIA Cong;BAI Guang-bo;CHEN Lian-meng(School of Civil Engineering and Architecture,Changzhou Institute of Technology,Changzhou 213000,China;Beijing Institute of Architectural Design,Beijing 100045,China;School of Architecture and Civil Engineering Wenzhou University,Wenzhou 325035,China)
出处
《空间结构》
CSCD
北大核心
2019年第4期3-8,17,共7页
Spatial Structures
基金
国家自然科学基金项目(51678082,51578422)
关键词
网壳结构
六杆四面体
质量参与系数
频率优化
lattice shell structure
six-bar tetrahedral unit
mass participation coefficient
frequency optimization
