TECHNICAL PAPERS
Nov 1, 1986

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.

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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.
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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.
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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.
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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.
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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.
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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.
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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.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 112Issue 12November 1986
Pages: 1319 - 1337

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Published online: Nov 1, 1986
Published in print: Nov 1986

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Authors

Affiliations

K. C. Wong
Dept. of Civ. Engrg., Univ. of Manitoba, Winnipeg, Canada R3T 2N2
S. K. Datta
Prof., Dept. of Mech. Engrg., Univ. of Colorado, Boulder, CO 80309
A. H. Shah, M. ASCE
Prof., Dept. of Civ. Engrg., Univ. of Manitoba, Winnipeg, Canada R3T 2N2

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