初始几何缺陷模式对单层球面网壳抗震性能的影响

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摘要为探索地震作用下单层网壳的最不利初始几何缺陷分布模式，本文对施加四种初始几何缺陷的单层球面网壳分别开展了抗震性能研究。首先，参照相关文献选取一致缺陷模式（一）、一致缺陷模式（二），特征值缺陷及一阶振型缺陷模式四种典型的初始几何缺陷分布模式，并介绍了四种初始几何缺陷模式的理论计算公式及施加于理想网壳的方法；其次，通过有限元建模分析，考察了施加四种初始几何缺陷模式后单层网壳的变形及自振频率变化；最后，分别对跨度为100米和其它不同参数的单层球面网壳施加上述四种初始几何缺陷模式、并分别输入七条选取于唐山地震主震实测三向地震动记录开展动力时程分析，考察四种初始几何缺陷模式对单层网壳动力工作性能及承载能力的影响。结果显示，对于矢跨比为1/3的单层球面网壳，施加一致缺陷模式（一）后网壳的最大节点位移值较大；其它参数的单层球面网壳，施加了特征值初始几何缺陷模式后网壳的最大节点位移值较大。本研究可对单层网壳开展动力工作性能分析及结构设计考虑地震作用时最不利初始几何缺陷模式的选取提供参考。

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	张明1
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	侯积英 2
	支旭东3
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	李文亮3
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关键词 ：初始几何缺陷模式, 单层球面网壳, 抗震性能, 动力时程分析, 动力响应

Abstract：In order to obtain the most unfavorable initial geometrical imperfection distribution on the seismic response of the single-layer reticulated dome, this paper respectively study the seismic performance of different domes after applying four initial geometrical imperfection distributions. Firstly, consistent mode imperfection 1, consistent mode imperfection 2, the first buckling mode imperfection and the first vibration mode imperfection were selected referring to the related literatures, and their theory calculation formula and the method of applying them to the domes without any imperfection were then presented. Secondly, the structural deformation and the natural vibration frequencies of the domes applied the selected four initial geometrical imperfection modes were investigated by the finite element method. Finally, the elastoplastic dynamic time history analysis was carried out for a dome with span 100 m and other domes after applying the four initial geometrical imperfections under the action of seven three-dimensional seismic waves recorded in the main shock in the Tangshan earthquake, followed by investigation the influence of the four initial geometrical imperfections on the structural seismic performance and failure loads. The result shows that the most nodal displacements for the domes with rise to span ratio 1/3 applied the consistent mode imperfection 1 were larger generally, while for other domes the first buckling mode imperfection is the most unfavorable initial geometrical imperfection distribution for the most cases. This paper could provide a reference for the selection of the most unfavorable initial geometrical imperfection distribution in the dynamic time history analysis and the structure design, which considers the influence of the earthquake.

Key words： initial geometrical imperfection distribution single-layer reticulated dome seismic performance elastoplastic dynamic time history analysis seismic response

收稿日期: 2019-09-04 出版日期: 2021-03-15

引用本文:

张明1,2，侯积英 2，支旭东3,4，李文亮3,4. 初始几何缺陷模式对单层球面网壳抗震性能的影响[J]. 振动与冲击, 2021, 40(5): 33-38.
ZHANG Ming1,2, HOU Jiying2, ZHI Xudong3,4, LI Wenliang3,4. Effect of initial geometric imperfection modes on aseismic performance of single-layer spherical reticulated shell. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(5): 33-38.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2021/V40/I5/33

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