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浙江大学学报(工学版)
浙江大学学报(工学版)  2020, Vol. 54 Issue (6): 1068-1077    DOI: 10.3785/j.issn.1008-973X.2020.06.003
土木工程     
网壳结构地震反应分析的振型刚度法
曲扬1,2(),罗永峰1,*(),朱钊辰1,黄青隆1
1. 同济大学 土木工程学院，上海 200092
2. 中建八局第三建设有限公司，江苏 南京 210046
Modal stiffness method for seismic response analysis of latticed shells
Yang QU1,2(),Yong-feng LUO1,*(),Zhao-chen ZHU1,Qing-long HUANG1
1. College of Civil Engineering, Tongji University, Shanghai 200092, China
2. The Third Construction Co. Ltd of China Construction Eighth Engineering Division, Nanjing 210046, China
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摘要：

提出振型刚度的概念，通过理论推导，建立振型刚度与结构振型特性之间的关系. 基于振型刚度，通过推覆分析构建非线性能力曲线，该曲线能够考虑结构整体响应而非依赖于特定节点和特征响应. 提出等效线性化迭代方法，结合地震反应谱，克服双线性模型实际耗能不一致的缺点，快速提高目标位移的求解精度. 在此基础上，建立网壳结构地震反应分析振型刚度法（MSPA）. 采用时程分析法（RHA）、传统推覆法（MPA）和振型刚度法（MSPA）计算球面网壳和柱面网壳算例的地震响应，研究结果表明：振型刚度法能较准确地预测结构节点位移、单元应力以及屈服杆件个数，计算精度满足工程要求，大大缩减了计算耗时.
关键词： 网壳结构;  振型刚度;  推覆分析;  地震反应评估    
Abstract:

The modal stiffness was proposed; the relationship between the modal stiffness and the modal dynamic property was derived and built. Based on the modal stiffness, the nonlinear capacity curve was depicted via the pushover analysis, which could consider the overall responses instead of relying on specific node and characteristic response. In order to overcome the drawback of unequal energy dissipation within the bi-linearized model, an equivalent linearized iterative approach combined with seismic response spectrum was presented to improve the solving accuracy of target displacement of the structure. Thus, the modal stiffness pushover analysis (MSPA) method was established. The seismic responses of a spherical latticed shell and a cylindrical latticed shell were calculated by means of response history analysis (RHA), conventional modal pushover analysis (MPA), and MSPA methods. Results demonstrate that the nodal displacements, element stresses, as well as the quantities of yielding members can be predicted precisely by MSPA method, and the time consumption is greatly reduced.
Key words: latticed shell    modal stiffness    pushover analysis    seismic response estimation
收稿日期: 2019-05-20 出版日期: 2020-07-06
CLC:  TU 393.3  
基金资助: 国家自然科学基金资助项目（51378379）
通讯作者: 罗永峰     E-mail: quyang_phd@tongji.edu.cn;yfluo93@tongji.edu.cn
作者简介: 曲扬（1991—），男，博士，从事空间结构抗震分析研究. orcid.org/0000-0002-7171-4671. E-mail： quyang_phd@tongji.edu.cn
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引用本文:

曲扬,罗永峰,朱钊辰,黄青隆. 网壳结构地震反应分析的振型刚度法[J]. 浙江大学学报(工学版), 2020, 54(6): 1068-1077.

Yang QU,Yong-feng LUO,Zhao-chen ZHU,Qing-long HUANG. Modal stiffness method for seismic response analysis of latticed shells. Journal of ZheJiang University (Engineering Science), 2020, 54(6): 1068-1077.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2020.06.003    或    http://www.zjujournals.com/eng/CN/Y2020/V54/I6/1068

图 1  能力曲线的双线性简化模型
图 2  能力曲线的等效线性化迭代模型
图 3  网壳结构模型
图 4  网壳结构主振型
图 5  网壳结构能力曲线
图 6  地震波伪加速度反应谱图
图 7  球面网壳时程分析（RHA）法和振型刚度（MSPA）法的节点位移计算结果对比
图 8  柱面网壳时程分析法和振型刚度法节点位移计算结果对比
图 9  网壳结构节点位移最大值计算结果对比
图 10  球面网壳时程分析法和振型刚度法单元应力计算结果对比
图 11  柱面网壳时程分析法和振型刚度法单元应力计算结果对比
图 12  网壳结构屈服杆件个数对比
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