Probabilistic Description of Buffeting Response of Long‐Span Bridges. I: Basic Concepts
Publication: Journal of Engineering Mechanics
Volume 118, Issue 12
Abstract
The behavior of the response of long‐span bridges under turbulent wind in the region of stable motion is investigated theoretically. Utilizing a single‐degree‐of‐freedom structural model the basic concept of the method of analysis is introduced. Based on the assumption that both the structural behavior and the fluid‐structure interaction can adequately be accounted for by linear models the bridge response is described by differential equations with time‐varying coefficients. Assuming the turbulent components of the oncoming wind to be weakly stationary wideband random processes, which is considered to be justified when carried by high mean wind velocities, a modified stochastic averaging procedure is employed to obtain the probability density function for the response quantities. Furthermore expressions for the expected rate of threshold crossings from below and for the exceedance probability are evaluated. The influence of the parametric excitation (motion‐induced loads) on the response behavior is clearly shown in the numerical example. A subsequent paper extends the concept to more realistic MDOF models.
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References
1.
Arnold, L. (1973). Stochastische Differentialgleichungen, R. Oldenbourg Verlag, Munich, Germany.
2.
Beliveau, J.‐G., Vaicaitis, R., and Shinozuka, M. (1977). “Motion of suspension bridge subject to wind loads.” J. Struct. Div., ASCE, 103(6), 1189–1205.
3.
Bucher, C. G. (1986). “Zuverlässigkeit von mechanischen Systemen mit nichtlinearen Dämpfungseigenschaften.” Report 7‐86, Institute of Engineering Mechanics, University of Innsbruck, Innsbruck, Austria.
4.
Bucher, C. G., and Lin, Y. K. (1988a). “Effect of spanwise correlation of turbulence field on the motion stability of long span bridges.” J. Fluids and Structures, 2, 437–451.
5.
Bucher, C. G., and Lin, Y. K. (1988b). “Stochastic stability of bridges considering coupled modes.” J. Engrg. Mech., ASCE, 114(12), 2055–2071.
6.
Duchène‐Marulaz, P. (1977). “Full‐scale measurements of atmospheric turbulence in a suburban area.” Wind effects on buildings and structures, K. J. Eaton, ed., Cambridge Press, 23–31.
7.
Lin, Y. K. (1976). Probabilistic theory of structural dynamics. Robert E. Krieger Publishing Co., Huntington, N.Y.
8.
Lin, Y. K. (1979). “Motion of suspension bridges in turbulent winds.” J. Engrg. Mech. Div., ASCE, 105(6), 921–932.
9.
Lin, Y. K. (1986). “Some observations on the stochastic averaging method.” Prob. Engrg. Mech., 1(1), 23–27.
10.
Lin, Y. K., and Ariaratnam, S. T. (1980). “Stability of bridge motion in turbulent winds.” J. Struct. Mech., 8(1), 1–15.
11.
Lin, Y. K., and Yang, J. N. (1983). “Multimode bridge response to wind excitations.” J. Engrg. Mech., ASCE, 109(2), 586–603.
12.
Scanlan, R. H. (1988). “On flutter and buffeting mechanisms in long‐span bridges.” Prob. Engrg. Mech., 3(1), 22–27.
13.
Scanlan, R. H., and Gade, R. H. (1977). “Motion of suspended bridge spans under gusty wind.” J. Struct. Div., ASCE, 103(9), 1867–1883.
14.
Scanlan, R. H., and Houston, D. R. (1986). “Changes in bridge deck flutter derivatives caused by turbulence.” Dynamic Response of Structures, G. C. Hart and R. B. Nelson, eds., University of California, Los Angeles, Calif., 382–389.
15.
Scanlan, R. H., and Lin, W.‐H. (1978). “Effects of turbulence on bridge flutter derivatives.” J. Engrg. Mech. Div., ASCE, 104(4), 719–733.
16.
Scanlan, R. H., and Tomko, J. J. (1971). “Airfoil and bridge deck flutter derivatives.” J. Engrg. Mech. Div., ASCE, 97(6), 1717–1737.
17.
Shinozuka, M. (1972). “Monte Carlo solution of structural dynamics.” Comput. Struct., 2, 855–874.
18.
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., Proc. IUTAM Symp., Jul. 19–23, 214–236.
19.
Simiu, E. (1974). “Wind spectra and dynamic alongwind response.” J. Struct. Div., ASCE, 100(9), 1897–1910.
20.
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.
21.
Wall, F. J. (1991). “Böenerregte Schwingungen von weitgespannten Brücken.” Report 29‐91, Inst. of Engrg. Mech., Univ. of Innsbruck, Innsbruck, Austria.
22.
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.
23.
Yang, J. N., and Shinozuka, M. (1971). “On the first excursion probability in stationary narrow‐band random vibration.” J. Appl. Mech. Trans. ASME, 38(4), 1017–1022.
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Copyright © 1992 ASCE.
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Published online: Dec 1, 1992
Published in print: Dec 1992
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