Three‐Dimensional Motion of Buried Pipeline. I: Analysis
Publication: Journal of Engineering Mechanics
Volume 112, Issue 12
Abstract
Dynamic response of a long, continuous pipeline buried at a depth, h, below the free surface of the ground is analyzed. It is assumed that the pipe is disturbed by plane seismic waves traveling at an arbitrary angle to its axis. Thus, the problem is three dimensional. The pipe has been modeled as a cylindrical shell. Both the pipe and the surrounding ground are assumed elastic, isotropic, and homogeneous. The solutions of equations of elastodynamics governing the motions of both are obtained in terms of cylindrical eigenfunctions modified to satisfy the boundary conditions on the free surface of the ground. Numerical results are presented in the accompanying paper.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Datta, S. K., and El‐Akily, N. (1979). “Diffraction of elastic waves by cylindrical cavity in a half‐space.” J. Acoustic Soc. of America. 64, 1692–1699.
2.
Datta, S. K., O'Leary, P. M., and Shah, A. H. (1985). “Dynamic response of buried pipelines to incident longitudinal and shear waves.” J. Appl. Mech. 52(4), 919–926.
3.
Datta, S. K., Wong, K. C., and Shah, A. H. (1984). “Dynamic amplification of stresses and displacements induced in a buried pipe in a semi‐infinite medium.” J. Engrg. Mech. ASCE. 110(10), 1451–1466.
4.
El‐Akily, N., and Datta, S. K. (1980). “Response of a circular cylindrical shell to disturbances in a half‐space.” Earthquake Engrg. and Structural Dynamics. 8, 469–477.
5.
El‐Akily, N., and Datta, S. K. (1981). “Response of a circular cylindrical shell to disturbances in a half‐space: Numerical results.” Earthquake Engrg. and Structural Dynamics. 9, 477–489.
6.
Gregory, R. D. (1967). “An expansion theorem applicable to problems of wave propagation in an elastic half‐space containing a cavity.” Proc. Cambridge Philosophical Soc. 63, 1341–1367.
7.
Gregory, R. D. (1970). “The propagation of waves in an elastic half‐space containing a cylindrical cavity.” Proc. Cambridge Philosophical Soc. 67, 689–710.
8.
Muleski, G. E., Ariman, T., and Auman, C. E. (1979). “A shell model of a buried pipe in a seismic environment.” ASME J. Pressure Vessel Tech. 101, 44–50.
9.
Nelson, I., and Weidlinger, P. (1979). “Dynamic seismic analysis of long segmented lifelines.” ASME J. Pressure Vessel Tech. 101, 10–19.
10.
O'Leary, P. M., and Datta, S. K. (1985a). “Dynamic response of a buried pipeline at low frequencies.” ASME J. Pressure Vessel Tech. 107, 44–50.
11.
O'Leary, P. M., and Datta, S. K. (1985b). “Dynamics of buried pipelines.” Soil Dynamics and Earthquake Engrg. 4, 151–159.
12.
Shah, A. H., Wong, K. C., and Datta, S. K. (1985). “Dynamic amplification of stresses and displacements induced in a buried tunnel.” J. Engrg. Mech. ASCE. 111(2), 218–234.
13.
Wang, L. R. L. (1981). “Seismic evaluation model for buried lifelines.” Proc. Second Specialty Conf. on Lifeline Earthquake Engrg. ASCE. New York, N.Y., 335–347.
14.
Wang, L. R. L., and O'Rourke, M. (1977). “State of the art of buried lifeline earthquake engineering.” Proc. Current State of Lifeline Earthquake Engrg. ASCE. New York, N.Y., 252–266.
15.
Wong, K. C. (1985). Elastic wave scattering by arbitrarily shaped inhomogeneities. thesis presented to the University of Manitoba, Winnipeg, Canada, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
16.
Wong, K. C., Shah, A. H., and Datta, S. K. (1985). “Diffraction of elastic waves in a half‐space. II: Analytical and numerical solutions.” Bull. Seismological Soc. of America.75, 69–92.
Information & Authors
Information
Published In
Copyright
Copyright © 1986 ASCE.
History
Published online: Nov 1, 1986
Published in print: Nov 1986
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.