Parametric Study on the Nonlinear Dynamics of a Three-Stay Cable Network under Stochastic Free Vibration
Publication: Journal of Engineering Mechanics
Volume 141, Issue 6
Abstract
Crossties and cable networks are used on cable-stayed bridges to mitigate wind-induced stay vibration. A nonlinear free-vibration analysis of a cable network with random oscillation amplitudes is presented in this study. Specifically, a nonlinear restoring-force spring model is introduced at the crosstie to simulate in-plane network free vibration at large amplitudes. The current constitutive model of the crosstie is also combined with taut-cable theory to simulate the dynamics in the stays and is solved by the equivalent linearization method. Stochastic functions are introduced in the model because the measure of the amplitudes produced by wind- and rain-wind–induced vibrations in the network can be affected by various uncertainties. The stochastic approximation (SA) algorithm is applied to find the roots of the characteristic polynomials associated with a stochastic vibration amplitude parameter. Brute force Monte Carlo methods are also used to analyze the SA convergence properties.
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Acknowledgments
This study was supported by Northeastern University (NEU), Office of the Provost, Tier-1 Seed Grant for Interdisciplinary Research Projects in 2011–2014. The first author also acknowledges the financial support of MIUR, the Italian Ministry of Education, University and Research under grant PRIN 2010-2011 (project 2010MBJK5B—Dynamic, Stability and Control of Flexible Structures). Numerical computations were performed on the cyber-grid of the NEU’s College of Engineering; collaboration with Techila Technologies of Finland is acknowledged.
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 6 • June 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jun 9, 2014
Accepted: Sep 30, 2014
Published online: Oct 28, 2014
Published in print: Jun 1, 2015
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