Please wait a minute...
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
 全文: PDF(2807 KB)   HTML
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
服务  
把本文推荐给朋友
加入引用管理器
E-mail Alert
作者相关文章  
曲扬
罗永峰
朱钊辰
黄青隆

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        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
1 曲扬, 罗永峰, 朱钊辰, 等 空间网格结构多维地震反应分析方法研究现状[J]. 建筑钢结构进展, 2020, 22 (1): 8- 18
QU Yang, LUO Yong-feng, ZHU Zhao-chen, et al State of the art of multi-dimensional seismic analysis techniques for spatial reticulated structures[J]. Progress in Steel Building Structures, 2020, 22 (1): 8- 18
2 POURSHA M, KHOSHNOUDIAN F, MOGHADAM A S A consecutive modal pushover procedure for estimating the seismic demands of tall buildings[J]. Engineering Structures, 2009, 31: 591- 599
doi: 10.1016/j.engstruct.2008.10.009
3 XIANG Y, LUO Y F, SHEN Z Y An extended modal pushover procedure for estimating the in-plane seismic responses of latticed arches[J]. Soil Dynamics and Earthquake Engineering, 2017, 93: 42- 60
doi: 10.1016/j.soildyn.2016.12.005
4 相阳, 罗永峰, 郭小农, 等 空间结构弹塑性地震反应分析的简化模型与方法[J]. 东南大学学报:自然科学版, 2015, 45 (4): 750- 755
XIANG Yang, LUO Yong-feng, GUO Xiao-nong, et al Simplified model and procedure for elasto-plastic seismic response analysis of spatial structure[J]. Journal of Southeast University: Natural Science Edition, 2015, 45 (4): 750- 755
5 OHSAKI M, ZHANG J Y Prediction of inelastic seismic responses of arch-type long-span structures using a series of multimodal pushover analyses[J]. Journal of the International Association for Shell and Spatial Structures, 2013, 54 (175): 27- 37
6 ZHU Z C, LUO Y F, XIANG Y Global stability analysis of spatial structures based on eigen-stiffness and structural eigen-curve[J]. Journal of Constructional Steel Research, 2018, 141: 226- 240
doi: 10.1016/j.jcsr.2017.11.003
7 曲扬, 罗永峰, 黄青隆, 等 格构拱结构动力响应评估的改进模态推覆分析法[J]. 同济大学学报:自然科学版, 2019, 47 (1): 1- 8
QU Yang, LUO Yong-feng, HUANG Qing-long, et al An improved modal pushover analysis procedure for estimating seismic responses of latticed arch[J]. Journal of Tongji University: Natural Science, 2019, 47 (1): 1- 8
8 CHOPRA A K, GOEL R K A modal pushover analysis procedure for estimating seismic demands for buildings[J]. Earthquake Engineering and Structural Dynamics, 2002, 31 (3): 561- 582
doi: 10.1002/eqe.144
9 GOEL RK, CHOPRA AK Evaluation of modal and FEMA pushover analyses: SAC buildings[J]. Earthquake Spectra, 2004, 20 (1): 225- 254
doi: 10.1193/1.1646390
10 GENCTURK B, ELNASHAI A S Development and application of an advanced capacity spectrum method[J]. Engineering Structures, 2008, 30: 3345- 3354
doi: 10.1016/j.engstruct.2008.05.008
11 杨溥, 李英民, 熊振勇, 等 能力曲线折线简化方法对比研究[J]. 重庆建筑大学学报, 2005, 27 (4): 59- 63
YANG Pu, LI Ying-min, XIONG Zhen-yong, et al Study on the comparison of different methods of simplifying capacity spectrum[J]. Journal of Chongqing Jianzhu University, 2005, 27 (4): 59- 63
12 FAJFAR P A nonlinear analysis method for performance-based seismic design[J]. Earthquake Spectra, 2000, 16: 573- 592
doi: 10.1193/1.1586128
13 LUO Y F, WANG L, GUO X N Threshold value method and its application in dynamic analysis of spatial latticed structures[J]. Advances in Structural Engineering, 2012, 15: 2215- 2226
doi: 10.1260/1369-4332.15.12.2215
14 相阳, 罗永峰, 朱钊辰, 等 基于设计反应谱的空间结构弹塑性地震反应分析方法[J]. 建筑结构学报, 2017, 38 (9): 74- 83
XIANG Yang, LUO Yong-feng, ZHU Zhao-chen, et al A procedure for elasto-plastic seismic response analysis of spatial structures based on design response spectra[J]. Journal of Building Structures, 2017, 38 (9): 74- 83
[1] 吴俊, 罗永峰, 王磊. 既有网壳结构几何缺陷分布反演算法[J]. 浙江大学学报(工学版), 2018, 52(5): 864-872.
[2] 丁慧, 罗尧治. 自由形态网壳结构网格生成的等参线分割法[J]. 浙江大学学报(工学版), 2014, 48(10): 1795-1801.
[3] 姚云龙,董石麟,刘宏创,夏巨伟,张民锐,祖义祯. 内外双重张弦网壳结构的模型设计及静力试验[J]. J4, 2013, 47(7): 1129-1139.
[4] 张成,李志安,高博青,董石麟. 基于H∞理论的网壳结构鲁棒性分析[J]. J4, 2013, 47(5): 818-823.
[5] 肖南, 容里, 董石麟. 双层球面网壳振动主动控制作动器位置优化[J]. J4, 2010, 44(5): 942-949.
[6] 杜文风 高博青 董石麟. 单层球面网壳结构动力强度破坏的双控准则[J]. J4, 2007, 41(11): 1916-1920.