TECHNICAL NOTES
Jul 1, 1997

Stability of Simple Beam Subjected to Multiple Seismic Excitations

Publication: Journal of Engineering Mechanics
Volume 123, Issue 7

Abstract

This technical note analyzes the stability of a simple beam subjected to spatially varying random seismic excitations. It uses the stochastic average method to calculate the stability boundaries of a beam under various earthquake excitations. The structural responses are modeled as a two-dimensional (2D) Markov process representing the response amplitude and phase angle. The parametric random excitation is induced by the spatially varying multiple seismic excitations at the two supports. Only the second-order moment stability is considered in this study. Based on the average properties of highway bridges and an empirical ground motion coherency loss function, the stability boundaries of a simple beam subjected to multiple support excitations are calculated. It is found that the stability strongly depends on the beam properties such as the span length, vibration frequency, and damping ratio. It also depends on ground excitation intensity, propagation velocity, and the coherency loss between the multiple excitations.

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References

1.
Bolotin, V. V. (1984). Random vibration of elastic systems. Martinus Nijhoff Publishers, Boston, Mass.
2.
Der Kiureghian, A.(1980). “Structural response to stationary excitation.”J. Engrg. Mech., ASCE, 106(6), 1195–1213.
3.
Dimentberg, M. F. (1988). Statistical dynamics of nonlinear and time-varying systems. John Wiley & Sons, Inc., New York, N.Y.
4.
Hao, H., Oliveira, C. S., and Penzien, J.(1989). “Multiple-station ground motion processing and simulation based on SMART-1 array data.”Nuclear Engrg. and Design, 111, 293–310.
5.
Jaeger, L. G., and Barr, A. D. S. (1966). “Parametric instabilities in structures subjected to prescribed periodic support motion.”Proc., Symp. Design for Earthquake Loadings, VII-1, McGill Univ., Montreal, Canada.
6.
Lin, Y. K., and Ariaratnam, S. T.(1980). “Stability of bridge motion in turbulent winds.”J. Struct. Mech., ASCE, 8(1), 1–15.
7.
Lin, Y. K., and Li, Q. C.(1993). “New stochastic theory for bridge stability in turbulent flow.”J. Engrg. Mech., ASCE, 119(1), 113–127.
8.
Lindberg, H. E., and Florence, A. L. (1987). Dynamic pulse buckling. Martinus Nijhoff Publishers, Dordrecht, The Netherlands.
9.
Moses, F., Ghosn, M., and Gobieski, J. (1985). “Weigh-in-motion applied to bridge evaluation.”Rep. No. FHWA/OH 85-12, Case Western Reserve Univ., Cleveland, Ohio.
10.
Sevin, E.(1960). “On the elastic bending of columns due to dynamic axial forces including the effects of axial inertia.” ASME Trans., 82, Series 7, J. Appl. Mech., 27, 125–131.
11.
Sobczyk, K. (1991). Stochastic differential equations with applications to physics and engineering. Kluwer, Dordrecht, The Netherlands.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 123Issue 7July 1997
Pages: 739 - 742

History

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

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Authors

Affiliations

Hong Hao, Member, ASCE
Sr. Lect., School of Civ. and Struct. Engrg., Nanyang Technol. Univ., Nanyang Ave., Singapore, 639798.

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