Probabilistic Description of Buffeting Response of Long‐Span Bridges. II: Extended Analysis
Publication: Journal of Engineering Mechanics
Volume 118, Issue 12
Abstract
The buffeting response of long‐span bridges in turbulent wind is dealt with in the present investigation. Herein the analysis is based on linear models describing the structural behavior and the fluid‐structure interaction. Accounting for both parametric excitation (motion‐induced loads) and buffeting (flow‐induced) loads the bridge response is described by differential equations in the time domain. The basic concept of the method of analysis presented in the first paper is now extended to multidegree‐of‐freedom systems. First, a critical mode, which is significantly affected by parametric excitation, is isolated. Utilizing Markov process theory a statistical description of this critical mode in terms of probability density functions is given. Classical spectral analysis constitutes the basis for the analysis of the remaining (noncritical) modes. Employing the so‐called Nataf model statistical information is obtained for the response quantities including exceedance rates of torsional and vertical bending displacements. Thus a most valuable basis for engineering decisions is provided by the present investigation. The suggested approach is then exemplified in the numerical examples showing among others the role of parametric excitation for the bridge response behavior in the region of stable motion.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Arnold, L., and Xu, K. (1991). “Normal forms for random dynamical systems.” Report No. 244, Institut für Dynamische Systeme, Universität Bremen, Bremen, Germany.
2.
Bucher, C. G., and Lin, Y. K. (1988a). “Stochastic stability of bridges considering coupled modes.” J. Engrg. Mech., ASCE, 114(12), 2055–2071.
3.
Bucher, C. G., and Lin, Y. K. (1988b). “Effect of spanwise correlation of turbulence field on the motion stability of long span bridges.” J. Fluids and Structures, 2, 437–451.
4.
Der Kiureghian, A., and Liu, P.‐L. (1985). “Structural reliability under incomplete probability information.” Report No. UCB/SESM‐85/01, Dept. of Civ. Engrg., Univ. of California, Berkeley, Calif.
5.
Lin, Y. K. (1976). Probabilistic theory of structural dynamics. Robert E. Krieger Publishing Co., Huntington, N.Y.
6.
Lin, Y. K. (1979). “Motion of suspension bridges in turbulent winds.” J. Engrg. Mech. Div., ASCE, 105(6), 921–932.
7.
Liu, P.‐L., and Der Kiureghian, A. (1986). “Multivariate distribution models with prescribed marginals and covariances.” Prob. Engrg. Mech., 1(2), 105–112.
8.
Nataf, A. (1962). “Détermination des distributions de probabilités dont les marges sont données.” Comptes Rendus de l' Académie des Science, Paris, France, 225, 42–43.
9.
Scanlan, R. H., and Tomko, J. J. (1971). “Airfoil and bridge deck flutter derivatives.” J. Engrg. Mech. Div., ASCE, 97(6), 1717–1737.
10.
Shinozuka, M., Imai, H., Enami, Y., and Takemura, K. (1977). “Identification of aerodynamic characteristics of a suspension bridge based on field data.” Stochastic problems in dynamics, B. L. Clarkson, ed., Pitman Publishing, 214–236.
11.
Simiu, E. (1974). “Wind spectra and dynamic alongwind response.” J. Struct. Div., ASCE, 100(9), 1897–1910.
12.
Sri Namachchivaya, N., and Lin, Y. K. (1988). “Application of stochastic averaging for nonlinear dynamical systems with high damping.” Prob. Engrg. Mech., 3(3), 159–167.
13.
Sternberg, A. (1988). “Stability and response of suspension bridges under turbulent wind excitation,” PhD thesis, Florida Atlantic University, Boca Raton, Fla.
14.
Wall, F. J. (1991). “Böenerregte Schwingungen von weitgespannten Brücken.” Report 29‐91, Inst. of Engrg. Mech., Univ. of Innsbruck, Innsbruck, Austria (in German).
15.
Wall, F. J., and Bucher, C. G. (1992). “Probabilistic description of the buffeting response of long‐span bridges. I: Basic Concept.” J. Engrg. Mech., ASCE.
16.
Yang, J. N., Sarkani, S., and Long, F. X. (1988). “Modal analysis of nonclassically damped structural systems using canonical transformation.” Stochastic structural dynamics—progress in theory and applications, S. T. Ariaratnam, G. I. Schuëller, and I. Elishakoff, eds., Elsevier Applied Science, New York, N.Y., 347–367.
Information & Authors
Information
Published In
Copyright
Copyright © 1992 ASCE.
History
Published online: Dec 1, 1992
Published in print: Dec 1992
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.