TECHNICAL PAPERS
Apr 1, 1997

Vibrations of Bridge Structure under Kinematic Wave Excitations

Publication: Journal of Structural Engineering
Volume 123, Issue 4

Abstract

Random vibrations of a bridge structure under propagating, seismic excitations are considered and joint effects of pseudostatic and dynamic vibrations are studied. Respective matrix equations of motion are derived. Detailed numerical analysis of a four-span bridge modeled as a three-dimensional (3D) frame under kinematic wave excitations with an oblique angle of propagation is carried out. Key parameters of seismic loads are identified and their effect on both displacement and force response is analyzed. The root-mean-square response is normalized with respect to uniform excitations. The normalized displacement response stays between 0 and 1 while the normalized force response may exceed 1, indicating additional spatial effects. These effects were identified to result from pseudostatic response, mostly for low apparent wave velocity with respect to support distances. A sensitivity, first passage, analysis is carried out to study the joint effect of propagation velocity and angle on the response.

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References

1.
Abdel-Ghaffar, A. M., and Stringfellow, R. G.(1984). “Response of suspension bridges to travelling earthquake excitations.”Soil Dyn. and Earthquake Engrg., 3(2), 62–81.
2.
Abrahamson, N. A., Schneider, J. F., and Stepp, J. C.(1991). “Empirical spatial coherency functions for application to soil-structure interaction analyses.”Earthquake Spectra, 7(1), 1–27.
3.
Aki, K., and Richards, P. G. (1980). Quantitative seismology. W. H. Freeman and Co., San Francisco, Calif.
4.
Betti, R., Abdel-Ghaffar, A. M., and Niazy, A. S.(1993). “Kinematic soil-structures interaction for long-span cable-supported bridges.”Earthquake Engrg. and Struct. Dyn., 22, 415–430.
5.
Bogdanoff, J. L., Goldberg, J. E., and Schiff, A. J.(1965). “The effect of ground transmission on the response of long structures.”Bull. Seismological Soc. of Am., 55(3), 627–640.
6.
Clough, R., and Penzien, J. (1975). Dynamics of structures, McGraw-Hill Book Co., Inc., New York, N.Y.
7.
Dendrou, B., Werner, S., and Toridis, T.(1985). “Three-dimensional response of a concrete bridge system to travelling seismic waves.”Comp. and Struct., 20, 593–603.
8.
Ker Kiureghian, A., and Neuenhofer, A.(1992). “Response spectrum method for multi-support seismic excitations.”Earthquake Engrg. and Struct. Dyn., 21, 715–740.
9.
Ditlevsen, O. (1981). Uncertainty modeling. McGraw-Hill Book Co., Inc., New York, N.Y.
10.
Eurocode 8: Structures in seismic regions, Part 2: bridges. (1993). Eur. Community, Brussels, Belgium.
11.
Hagen, O. (1992). “Structural reliability methods under time dependency,” DSc thesis, Univ. of Oslo, Oslo, Norway.
12.
Hao, H. (1989). “Effects of spatial variation of ground motion on large multiply-supported structures.”Rep. No. EERC 89-06, Earthquake Engrg. Res. Ctr., Univ. of California, Berkeley, Calif.
13.
Harichandran, R. S., and Vanmarcke, E. H.(1986). “Stochastic variation of earthquake ground motion in space and time.”J. Engrg. Mech., ASCE, 112(2), 154–174.
14.
Harichandran, R. S., and Wang, W. (1988). “Response of oneand two-span beams to spatially varying seismic excitation.”Rep. to NSF, Dept. of Civ. and Envir. Engrg., Michigan State Univ., East Lansing, Mich.
15.
Kanai, K.(1957). “Semi-empirical formula for the seismic characteristic of the ground.”Bull. Earthquake Res. Inst., Tokyo, Japan, 35, 309–325.
16.
Lai, P. (1983). “Seismic response of a 4-span bridge system subjected to multiple-support ground excitation.”Proc., 4th Can. Conf. on Earthquake Engrg., 561–570.
17.
Leger, P., Idé, I. M., and Paultre, P.(1990). “Multiple-support seismic analysis of large structures.”Comp. and Struct., 36(6), 1153–1158.
18.
Penzien, J., and Watabe, M.(1975). “Characteristics of 3-dimensional earthquake ground motions.”Earthquake Engrg. and Struct. Dyn., 3, 365–373.
19.
Perotti, F.(1990). “Structural response to non-stationary multiple support random excitation.”Earthquake Engrg. and Struct. Dyn., 19, 513–527.
20.
Rao, R. (1973). Linear statistical inference and its applications. John Wiley & Sons, Inc., New York, N.Y.
21.
Ruiz, P., and Penzien, J. (1969). “Probabilistic study of the behavior of structures during earthquakes.”Rep. No. EERC 69-03, Earthquake Engrg. Res. Ctr., Univ. of California, Berkeley, Calif.
22.
Sobczyk, K. (1984). Stochastic wave propagation. Elsevier Science Publishers, Amsterdam, The Netherlands.
23.
Tajimi, H. (1960). “A statistical method of determining the maximum response of a building structure during an earthquake.”Proc., 2nd World Conf. on Earthquake Engrg., Vol. 2, 781–798.
24.
Veneziano, D., Grigoriu, M., and Cornell, C. A.(1977). “Vector-process models for system reliability.”J. Engrg. Mech., ASCE, 103(3), 441–460.
25.
Zembaty, Z.(1987). “On the reliability of tower-shaped structures under seismic excitations.”Earthquake Engrg. and Struct. Dyn., 15, 761–775.
26.
Zembaty, Z.(1996). “Random vibrations of discrete systems under kinematic wave excitations.”J. Theoretical and Appl. Mech., 34(1), 159–177.
27.
Zerva, A., and Shinozuka, M.(1991). “Stochastic differential ground motion.”Struct. Safety, 10, 129–143.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 123Issue 4April 1997
Pages: 479 - 488

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Published online: Apr 1, 1997
Published in print: Apr 1997

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Zbigniew Zembaty
Asst. Prof., Facu. of Civ. Engrg., Tech. Univ. of Opole, 45-233 Opole, ul.MikoŁajczyka 5, Poland.

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