Free Vibration Analysis of Curved Thin‐Walled Girder Bridges
Publication: Journal of Structural Engineering
Volume 118, Issue 10
Abstract
The purpose of this paper is to present a theory that incorporates a special treatment of warping in the free vibration analysis of continuous curved thin‐walled girder bridges. The theory uses an additional degree of freedom for curved beam elements with thin‐walled sections to capture the effects of warping. The ability to use flexible piers or hinge supports with the curved‐girder warping theory is included. Formulation of both element stiffness and mass matrices is discussed. The element stiffness matrix is determined by inverting the flexibility matrix. Two example calculations using the theory are presented. The examples include a three‐span, continuously curved bridge with two flexible piers and a three‐span, continuously curved bridge with four flexible piers. The results obtained are compared to results based on other theories. Effects of warping, noncoincidence of shear center and centroid of section, flexibility of piers, and radius of curvature are shown.
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References
1.
Bathe, K. J. (1982). Finite element procedures in engineering analysis. Prentice‐Hall, Englewood Cliffs, N.J.
2.
Chang, P. C., and Heins, C. P. (1985). “Seismic study of curved bridges using the Rayleigh‐Ritz method.” Comput. Struct. J., 21(6).
3.
Dabrowski, R. (1968). Curved thin‐walled girders: Theory and analysis. Springer, New York, N.Y.
4.
Hu, R. L. Earthquake‐Resistant Design of Bridges, 1984 (in Chinese).
5.
Huang, J. Y. (1983), Torsional analysis of thin‐walled structures, 1 (in Chinese).
6.
Kou, C. H. (1984). “Analysis and computer program of curved grillage box girder bridges,” MS thesis, Brigham Young University, Provo, Utah.
7.
Kou, C. H. (1989). “Static and dynamic analysis of continuous curved box girder bridges,” PhD dissertation, Brigham Young University, Provo, Utah.
8.
Lie, G. H., Heins, C. P., and Shi, D. (1984). “Finite element analysis of seismic response of curved girder bridges.” J. Tongji Univ. (in Chinese).
9.
Liu, Y. H. (1988). “Dynamic analysis of thin‐walled curved girder bridges,” MS thesis, Lanjou, China (in Chinese).
10.
Paz, M. Structural dynamics theory and computation. Van Nostrand Reinhold.
11.
Shames, I. H., and Dym, C. L. (1985). Energy and finite element methods in structural mechanics. McGraw‐Hill, New York, N.Y.
12.
Yilmaz, C., and Wasti, S. T. (1984). Analysis and design of bridges. Martinus Nijhoff Publishers, 375–413.
13.
Zhang, C. H., and Wang, G. L. Structural static, dynamic analysis, and CAL language (in Chinese).
14.
Zhang, X. T., and Wang, C. (1985). “The mass and stiffness matrices of circular‐beam elements.” J. Tongji Univ. (in Chinese).
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 118 • Issue 10 • October 1992
Pages: 2890 - 2910
Copyright
Copyright © 1992 ASCE.
History
Published online: Oct 1, 1992
Published in print: Oct 1992
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