LI Yu-yin, ZHANG Ya-hui. Random Seismic Analysis of Multi-Supported Pipelines Subjected to Spatially Varying Ground Motions[J]. Applied Mathematics and Mechanics, 2015, 36(6): 582-592. doi: 10.3879/j.issn.1000-0887.2015.06.002
Citation: LI Yu-yin, ZHANG Ya-hui. Random Seismic Analysis of Multi-Supported Pipelines Subjected to Spatially Varying Ground Motions[J]. Applied Mathematics and Mechanics, 2015, 36(6): 582-592. doi: 10.3879/j.issn.1000-0887.2015.06.002

Random Seismic Analysis of Multi-Supported Pipelines Subjected to Spatially Varying Ground Motions

doi: 10.3879/j.issn.1000-0887.2015.06.002
Funds:  The National Science Foundation of China (11172056); The National Basic Research Program of China(973 Program)(2014CB046803)
  • Received Date: 2015-03-16
  • Rev Recd Date: 2015-03-17
  • Publish Date: 2015-06-15
  • An analytical method was formulated for the random seismic analysis of multi-supported pipelines subjected to spatially varying ground motions. With the pseudo-excitation method, the stationary random seismic responses were proven to be represented in terms of deterministic responses of pipelines under multi-support harmonic excitations. The harmonic responses were expressed as a series of harmonic functions with undetermined coefficients, which could be solved with the appropriate boundary and compatibility conditions. In comparison with the quasi-static decomposition method, the present method is derived analytically without computation of the structural normal modes and quasi-static components. The high accuracy and efficiency of the present method is verified through its application to an exemplary 6-span pipeline and the comparison of results made with those from the quasi-static decomposition method.
  • loading
  • [1]
    Der Kiureghian A, Neuenhofer A. Response spectrum method for multi-support seismic excitations[J].Earthquake Engineering and Structural Dynamics,1992,21(8): 713-740.
    [2]
    Heredia-Zavoni E, Vanmarcke E H. Seismic random vibration analysis of multi-support structural systems[J].ASCE Journal of Engineering Mechanics,1994,120(5): 1107-1128.
    [3]
    Mindlin R D, Goodman L E. Beam vibrations with time-dependent boundary conditions[J].ASME Journal of Applied Mechanics,1950,17(4): 377-380.
    [4]
    Clough R W, Penzien J.Dynamics of Structures[M]. New York: McGraw-Hill, 1993.
    [5]
    Zerva A. Response of multi-span beams to spatially incoherent seismic ground motions[J].Earthquake Engineering and Structural Dynamics,1990,19(6): 819-832.
    [6]
    Zerva A. Seismic loads predicted by spatial variability models[J].Structural Safety,1992,11(3): 227-243.
    [7]
    Zhang Y H, Li Q S, Lin J H, Williams F W. Random vibration analysis of long-span structures subjected to spatially varying ground motions[J].Soil Dynamics and Earthquake Engineering,2009,29(4): 620-629.
    [8]
    张亚辉, 智浩, 吕峰. 结构多点随机地震响应分析及拟静位移计算[J]. 计算力学学报, 2004,21(5): 564-570.(ZHANG Ya-hui, ZHI Hao, L Feng. Seismic random response analysis of Multi-supported structures and the quasi-static displacement approximation[J].Chinese Journal of Computational Mechanics,2004,21(5): 564-570.(in Chinese))
    [9]
    Alkhaleefi A M, Ali A. An efficient multi-point support-motion random vibration analysis technique[J].Computers & Structures,2002,80(22): 1689-1697.
    [10]
    Chen J T, Hong H K, Yeh C S, Chyuan S W. Integral representations and regularizations for a divergent series solution of a beam subjected to support motions[J].Earthquake Engineering and Structural Dynamics,1996,25(9): 909-925.
    [11]
    Chen J T, Tsaur D H, Hong H K. An alternative method for transient and random responses of structures subject to support motions[J].Engineering Structures,1997,19(2): 162-172.
    [12]
    Lin Y K, Zhang R, Yong Y. Multiply supported pipeline under seismic wave excitations[J].ASCE Journal of Engineering Mechanics,1990,116(5): 1094-1108.
    [13]
    Leger P, Ide I M, Paultre P. Multiple-support seismic analysis of large structures[J].Computers & Structures,1990,36(6): 1153-1158.
    [14]
    周国良, 李小军, 刘必灯, 齐兴军. 大质量法在多点激励分析中的应用, 误差分析与改进[J]. 工程力学, 2011,28(1): 48-54.(ZHOU Guo-liang, LI Xiao-jun, LIU Bi-deng, QI Xing-jun. Error analysis and improvement of large mass method used in multi-support seismic excitation analysis[J].Engineering Mechanics,2011,28(1): 48-54.(in Chinese))
    [15]
    屈铁军, 王君杰, 王前信. 空间变化的地震动功率谱的实用模型[J]. 地震学报, 1996,18(1): 55-62.(QU Tie-jun, WANG Jun-jie, WANG Qian-xin. Practical PSD ground motion with spatial effect[J].Acta Seismologica Sinica, 1996,18(1): 55-62.(in Chinese))
    [16]
    冯启民, 胡聿贤. 空间相关地面运动的数学模型[J]. 地震工程与工程振动, 1981,1(2): 1-8.(FENG Qi-min, HU Yu-xian. A mathematical model for spatial seismic ground motion[J].Journal of Earthquake Engineering and Engineering Dynamics,1981,1(2): 1-8.(in Chinese))
    [17]
    Loh C H, Yeh Y T. Spatial variation and stochastic modelling of seismic differential ground movement[J].Earthquake Engineering and Structural Dynamics,1988,16(4): 583-596.
    [18]
    Der Kiureghian A. A coherency model for spatially varying ground motions[J].Earthquake Engineering and Structural Dynamics,1996,25(1): 99-111.
    [19]
    Somerville P G, McLaren J P, Sen M K,Helmberger D V. The influence of site conditions on the spatial incoherence of ground motions[J].Structural Safety,1991,10(1): 1-13.
    [20]
    林家浩, 张亚辉. 随机振动的虚拟激励法[M]. 北京: 科学出版社, 2004.(LIN Jia-hao, ZHANG Ya-hui.Pseudo-Excitation Method for Random Vibration [M]. Beijing: Science Press, 2004.(in Chinese))
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (914) PDF downloads(822) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return