Refined Stick Model for Dynamic Analysis of Skew Highway Bridges
Publication: Journal of Bridge Engineering
Volume 7, Issue 3
Abstract
Stick models are widely employed in the dynamic analysis of bridges when only approximate results are desired or when detailed models are difficult or time-consuming to construct. Although the use of stick models for regular bridges has been validated by various researchers, the application of such models to skew highway bridges continues to present challenges. The conventional single-beam stick model used to represent the bridge deck often fails to capture certain predominant vibration modes that are important in obtaining the true dynamic response of the bridge. In this paper, a refined stick model is proposed for the preliminary dynamic analysis of skew bridges. The model utilizes a dual-beam stick representation of the bridge deck. The validity of the model is established by comparing results obtained from the proposed model with numerical solutions obtained for skew plates and a skew bridge. It is shown that this dual-beam stick model is superior to the conventional single-beam model in estimating the natural vibration frequencies and in predicting the predominant vibration modes of the bridge. Because of its simplicity and relative accuracy, this model is recommended for the preliminary dynamic analysis of skew highway bridges.
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References
Bhat, R. B.(1985). “Plate deflections using orthogonal polynomials.” J. Eng. Mech., 111(1), 1301–1309.
Bhat, R. B., (1987). “Flexural vibration of polygonal plates using characteristic orthogonal polynomials in two variables.” J. Sound Vib., 114, 65–71.
Chopra, A. K. (2001). Dynamics of structures—Theory and applications to earthquake engineering, 2nd Ed., Prentice-Hall, Upper Saddle River, N.J.
Cook, R. D., and Young, W. C. (1985). Advanced mechanics of materials, Macmillan, New York.
Ghobarah, A. A., and Tso, W. K.(1974). “Seismic analysis of skewed highway bridges with intermediate supports.” Earthquake Eng. Struct. Dyn., 2, 235–248.
Hambly, E. C. (1991). Bridge deck behavior, 2nd Ed., Van Nostrand Reinhold, New York.
Jaeger, L. G., and Bakht, B.(1982). “The grillage analogy in bridge analysis.” Can. J. Civ. Eng., 9(2), 224–235.
Jennings, P. C., ed. (1971). “Engineering features of the San Fernando earthquake.” Rep. No. EERL 71-02, California Institute of Technology, Pasadena, Calif.
Liew, K. M., and Lam, K. Y.(1990). “Application of two-dimensional orthogonal plate function to flexural vibration of skew plates.” J. Sound Vib., 139(2), 241–252.
Maragakis, E. A., and Jennings, P. C.(1987). “Analytical models for the rigid body motions of skew bridges.” Earthquake Eng. Struct. Dyn., 15(8), 923–944.
McCallen, D. B., and Romstad, K. M.(1994). “Dynamic analysis of a skewed short-span, box-girder overpass.” Earthquake Spectra, 10(4), 729–755.
Meng, J.-Y., and Lui, E. M.(2000). “Seismic analysis and assessment of a skew highway bridge.” Eng. Struct., 22(11), 1433–1452.
Mizusawa, T., and Kajita, T.(1984). “Vibration of continuous skew plates.” Earthquake Eng. Struct. Dyn., 12, 847–850.
Mizusawa, T., Kajita, T., and Naruoka, M.(1979). “Vibration of skew plates by using B-spline functions.” J. Sound Vib., 62(2), 301–308.
Mizusawa, T., Kajita, T., and Naruoka, M.(1980). “Analysis of skew plate problems with various constraints.” J. Sound Vib., 73(4), 575–584.
Newmark, N. M., and Rosenblueth, E. (1971). Fundamentals of earthquake engineering, Prentice-Hall, Englewood Cliffs, N.J.
Singh, B., and Chakraverty, S.(1994). “Flexural vibration of skew plates using boundary characteristic orthogonal polynomials in two variables.” J. Sound Vib., 173(2), 157–178.
Timoshenko, S. P., and Goodier, J. N. (1970). Theory of elasticity, 3rd Ed., McGraw-Hill, New York.
Tsai, N. C., Firouz, A., Sedarat, H., Nisar, A., and Werner, S. D. (1993). “Application of CALTRANS’ current seismic evaluation procedures to selected short bridge overcrossing structures.” Technical Rep. Prepared for California Dept. of Transportation, Div. of Structures, Dames & Moore, Oakland, Calif.
Wakefield, R. R., Nazmy, A. S., and Billington, D. P.(1991). “Analysis of seismic failure in skew RC bridge.” J. Struct. Eng., 117(3), 972–986.
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Copyright © 2002 American Society of Civil Engineers.
History
Received: Aug 27, 1999
Accepted: Aug 14, 2001
Published online: Apr 15, 2002
Published in print: May 2002
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