ZHAO Yan, JIA Tian, ZHOU Ruipeng. Non-Stationary Radom Vibration Analysis of Coupled Pipeline-Soil Systems Under Earthquake[J]. Applied Mathematics and Mechanics, 2018, 39(5): 493-505. doi: 10.21656/1000-0887.380333
Citation: ZHAO Yan, JIA Tian, ZHOU Ruipeng. Non-Stationary Radom Vibration Analysis of Coupled Pipeline-Soil Systems Under Earthquake[J]. Applied Mathematics and Mechanics, 2018, 39(5): 493-505. doi: 10.21656/1000-0887.380333

Non-Stationary Radom Vibration Analysis of Coupled Pipeline-Soil Systems Under Earthquake

doi: 10.21656/1000-0887.380333
Funds:  The National Natural Science Foundation of China(11772084);The National Basic Research Program of China(973 Program)(2015CB057804)
  • Received Date: 2017-12-25
  • Rev Recd Date: 2018-01-26
  • Publish Date: 2018-05-15
  • According to the non-stationary and coherent characteristics of seismic load, a frequency-domain method for random vibration analysis of underground pipeline-soil structures was proposed. The Fourier-Stieltjes integral was used to describe the non-stationary stochastic process, and the time-dependent characteristics of the amplitude and frequency components of the seismic load were depicted by its kernel function; the exponential decay function was used to describe the spatial distribution of seismic load. Based on the combination of the pseudo-excitation method and the Fourier analysis technique in the frequency domain, the closed-form solution of the response evolution power spectrum of the pipeline-soil structure was derived under the coherent and non-stationary random loading, and the frequency-domain relation between the input and the output of the random vibration was established. In numerical examples, the proposed method was compared with the traditional calculating methods, and the correctness and validity of the method were illustrated. Furthermore, the mechanism of random vibration behavior of the pipeline with changing soil parameters and different end constraints were studied.
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  • [1]
    ICHIMURA T, FUJITA K, QUINAY P E, et al. Comprehensive seismic response analysis for estimating the seismic behavior of buried pipelines enhanced by three-dimensional dynamic finite element analysis of ground motion and soil amplification[J]. Journal of Pressure Vessel Technology,2016,138(5): 051801. DOI: 10.1115/1.4033250.
    JIANG L F, CHEN S X, XU X C. Dynamic response of underground pipeline to incident body waves[C]// ICPTT 2009: Advances and Experiences With Pipelines and Trenchless Technology for Water, Sewer, Gas, and Oil Applications.2009: 325-334.
    DATTA S K, SHAH A H, WONG K C. Dynamic stresses and displacements in buried pipe[J].Journal of Engineering Mechanics,1984,110(10): 1451-1466.
    YAN Yong. Response of pipeline structure subjected to ground motion excitation[J]. Engineering Structures,1997,19(8): 679-684.
    LIU Wei, SUN Qianwei, MIAO Huiquan, et al. Nonlinear stochastic seismic analysis of buried pipeline systems[J]. Soil Dynamics and Earthquake Engineering,2015,74: 69-78.
    严松宏, 梁波, 高峰, 等. 考虑地震非平稳性的隧道纵向抗震可靠度分析[J]. 岩石力学与工程学报, 2005,24(5): 818-822.(YAN Songhong, LIANG Bo, GAO Feng, et al. Dynamic reliability analysis on resistance of tunnels to longitudinal non-stationary earthquake[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(5): 818-822. (in Chinese))
    SOLIMAN H O, DATTA T K. Response of overground pipelines to random ground motion[J]. Engineering Structures,1996,18(7): 537-545.
    DATTA T K, MASHALY E A. Seismic response of buried submarine pipelines[J]. Journal of Energy Resources Technology,1988,110(4): 208-218.
    ELACHACHI S M, YANEZ-GODOY H. Response of buried pipes taking into account seismic and soil spatial variabilities[C]//12th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP12.Vancouver, Canada, 2015.
    帅健, 许葵. 埋地管道的非平稳随机振动[J]. 工程力学, 2002,19(5): 130-134.(SHUAI Jian, XU Kui. Non-stationary random vibration of buried pipes[J]. Engineering Mechanics,2002,19(5): 130-134.(in Chinese))
    帅健, 吕英民, 蔡强康. 埋地管道的平稳随机振动[J]. 石油大学学报(自然科学版), 1999,23(4): 65-70.(SHUAI Jian, Lü Yingmin, CAI Qiangkang. Stationary random vibration of buried pipes[J]. Journal of the University of Petroleum, China,1999,23(4): 65-70.(in Chinese))
    林家浩, 张亚辉, 赵岩. 虚拟激励法在国内外工程界的应用回顾与展望[J]. 应用数学和力学, 2017,38(1): 1-31.(LIN Jiahao, ZHANG Yahui, ZHAO Yan. The pseudo-excitation method and its industrial applications in china and abroad[J]. Applied Mathematics and Mechanics,2017,38(1): 1-31.(in Chinese))
    赵岩, 李明武, 林家浩, 等. 陀螺系统随机振动分析的辛本征展开方法[J]. 应用数学和力学, 2015,36(5): 449-459.(ZHAO Yan, LI Mingwu, LIN Jiahao, et al. Symplectic eigenspace expansion for the random vibration analysis of gyroscopic systems[J]. Applied Mathematics and Mechanics,2015,36(5): 449-459.(in Chinese))
    赵岩, 张亚辉, 林家浩. 车辆随机振动功率谱分析的虚拟激励法概述[J]. 应用数学和力学, 2013,34(2): 107-117.(ZHAO Yan, ZHANG Yahui, LIN Jiahao. Summary on the pseudo-excitation method for vehicle random vibration PSD analysis[J]. Applied Mathematics and Mechanics,2013,34(2): 107-117.(in Chinese))
    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 Jiahao, ZHANG Yahui. The Pseudo-Excitation Method of Random Vibration [M]. Beijing: Science Press, 2004.(in Chinese))
    帅健. 管线力学[M]. 北京: 科学出版社, 2010.(SHUAI Jian. Pipeline Mechanics [M]. Beijing: Science Press, 2010.(in Chinese))
    克拉夫, 彭津. 结构动力学[M]. 王光远, 译. 北京: 科学出版社, 1981.(CLOUGH R W, PENZIEN J. Dynamics of Structural [M]. WANG Guangyuan, transl. Beijing: Science Press, 1981.(Chinese version))
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