Fundamental Mode Estimation for Modern Cable-Stayed Bridges Considering the Tower Flexibility
Publication: Journal of Bridge Engineering
Volume 19, Issue 6
Abstract
The design of cable-stayed bridges is typically governed by the dynamic response. This work provides designers with essential information about the fundamental vibration modes, proposing analytical expressions based on the mechanical and geometrical properties of the structure. Different bridge geometries are usually considered in the early design stages until the optimum solution is defined. In these design stages, the analytical formulation is advantageous, because finite-element models are not required and modifying the bridge characteristics is straightforward. The influence of the tower flexibility is included in this study, unlike in previous attempts on mode estimation. The dimensions and proportions of the canonical models proposed in the analytical study stem from the previous compilation of the dimensions of a large number of constructed cable-stayed bridges. Five tower shapes, central or lateral cable-system layouts and box- or U-shaped deck sections, have been considered. The vibration properties of more than 1,000 cable-stayed bridges with main spans ranging from 200 to 800 m long were extracted within an extensive parametric analysis. The Vaschy-Buckingham theorem of dimensional analysis was applied to the numerical results to propose the formulation for period estimation. Finally, the formulas were validated with the vibration properties of 17 real cable-stayed bridges constructed in different countries. The importance of the tower flexibility is verified, and the errors observed are typically below 15%, significantly improving the estimations obtained by previous research works.
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Acknowledgments
This research project has been funded by the Technical University of Madrid (Spain), in cooperation with Tongji University (China) through the Marco Polo program, supported by Banco Santander and Bank of China. The authors deeply thank the valuable comments of Dr. Sotirios Oikonomou-Mpegetis at Imperial College London and the cooperation of Mr. Ni Xiaobo at Tongji University.
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Information & Authors
Information
Published In
Journal of Bridge Engineering
Volume 19 • Issue 6 • June 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jan 13, 2013
Accepted: Nov 20, 2013
Published online: Jan 17, 2014
Published in print: Jun 1, 2014
Discussion open until: Jun 17, 2014
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