Response of Underground Pipelines Subjected to Partially Coherent Seismic Excitation
Publication: Journal of Pipeline Systems Engineering and Practice
Volume 4, Issue 4
Abstract
Analyses on the basis of seismic array records have confirmed that spatially distributed earthquake ground motions are neither fully coherent nor independent, but partially coherent. It has not yet been fully addressed how the partially coherent nature of seismic ground motions affect the seismic response of underground pipelines. In this paper, the impact of auto power spectrum density, pipe cross-sectional radius, and wall thickness, local effect, and coherency effect on pipeline responses are analyzed by calculating the longitudinal and lateral seismic responses of continuous pipelines in a homogeneous medium using a pseudoexcitation algorithm of the random vibration theory. A numerical integration technique is developed by converting infinite integration into a series with limited terms. Sufficient precision is achieved when integration steps are sufficiently small. The method provides a simplified way for practical professionals to analyze response of underground pipelines to earthquakes.
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Acknowledgments
This work was sponsored by the National Natural Science Foundation of China (Contract No. 50678001) and the Technology Development Projects of Beijing Education Commission (Contract No. kz200710009005).
References
Abrahamson, N. A. (1993). “Spatial variation of multiple support input.” Proc., 1st U.S. Seminar on Seismic Evaluation and Retrofit of Steel Bridges, Dept. of Civil Engineering, Univ of California at Berkeley, and California Dept. of Transportation, San Francisco.
Abrahamson, N. A., Schneider, E., and Stepp, J. C. (1991). “Empirical spatial coherency functions for application to soil-structure interaction analyses.” Earthquake Spectra, 7(1), 1–27.
Clough, R., and Penzien, J. (2003). Dynamics of structures, 2nd Ed., Computers and Structures, Berkeley, CA.
Der Kiureghian, A., and Neuenhofer, A. (1992). “Response spectrum method for multi-support seismic excitations.” Earthquake Eng. Eng. Vib., 21(8), 713–740.
Feng, Q., and Hu, Y. (1982). “Spatial correlation of motion and its effect on structural response.” Proc., US-PRC, Bilateral Workshop on Earthquake Engineering, Harerbin, China, Vol. 1, A-5-1–A-5–14.
Hao, H. (1989). “Effect of spatial variation of ground motion on largemultiple-supported structures.”, Univ. of California at Berkeley, Berkeley, CA.
Hao, H., Oliveira, C. S., and Penzien, J. (1989). “Multiple-station ground motion processing and simulation based on SMART-1 array data.” Nucl. Eng. Des., 111(3), 293–310.
Harichandran, R. S., and Vanmarcke, E. H. (1986). “Stochastic variation of ground motion from in space and time.” J. Eng. Mech., 112(2), 154–175.
Hindy, A., and Novak, M. (1980). “Pipeline response to random ground motion.” J. Eng. Mech. Div., 106(2), 339–360.
Hu, Y., and Zhou, X. (1962). Response of elastic system to the stationary and non-stationary seismic excitation, Collection 1 (part C) of Research Reports on Earthquake Engineering, Institute of Engineering Mechanics, Chinese Academy of Science, Science, Beijing, China.
Lin, J., and Zhang, Y. (2004). Pseudo excitation method of random vibration, Version 1, Science Press, Beijing.
Loh, C. H., and Lin, S. G. (1990). “Directionality and simulation in spatial variation of seismic waves.” Eng. Struct., 12(2), 583–596.
Loh, C. H., and Yeh, Y. T. (1988). “Spatial variation and stochastic modeling of seismic differential ground movement.” Earthquake Eng. Struct. Dyn., 16(4), 583–596.
Luco, C. H., and Wong, H. L. (1986). “Response of a rigid to a spatially random ground motion.” Earthquake Eng. Struct. Dyn., 14(6), 891–908.
Nakamura, H., and Yamazaki, F. (1995). “Spatial variation of earthquake ground motion based on dense array records.” Proc., 13th Int. Conf. on structural Mechanics in Reactor Technology, Escola de Engenharia-Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil.
Qu, T. (1995). “Research of the space variation features of ground motion and analysis of seismic response of the underground pipelines.” Ph.D. dissertation, Engineering Mechanics Research Institute of State Seismology Bureau, Beijing.
Qu, T., Wang, J., and Wang, Q. (1996). “Practical model of earthquake motion power spectrum of space variation.” Acta Seismologica Sinica, 9(1), 69–79.
Qu, T., and Wang, Q. (1993). “Responses of underground pipeline to multi-support longitudinal excitations.” Earthquake Eng. Eng. Vib., 13(4), 39–46.
Qu, T., and Wang, Q. (1997). “Bending vibration response of underground pipeline to spatially variable seismic excitation.” Eng. Mech., 14(3), 88–96.
Wang, J. (1992). “Analysis method of reaction spectrum of multi-point and multi-dimensional seismic random model and structure.” Ph.D. dissertation, Engineering Mechanics Research Institute of State Seismology Bureau of China, Beijing.
Zerva, A. (1992). “Spatial incoherence effects on seismic ground strains.” Probab. Eng. Mech., 7(4), 217–226.
Zerva, A. (1994). “On the spatial variation of seismic ground motions and its effects on lifelines.” Eng. Struct., 16(7), 534–546.
Zerva, A., Alfredo, H.-S. A., and Wen, Y. K. (1988). “Lifeline response to spatially variable ground motion.” Earthquake Eng. Struct. Dyn., 16(3), 361–379.
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© 2013 American Society of Civil Engineers.
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Received: Apr 29, 2012
Accepted: Mar 7, 2013
Published online: Mar 9, 2013
Published in print: Nov 1, 2013
Discussion open until: Jan 6, 2014
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