New Formula for Calculating the Vertical Natural Frequency of a Suspension Bridge
Publication: Practice Periodical on Structural Design and Construction
Volume 27, Issue 4
Abstract
Long-span suspension bridges are flexible structures that are easily vibrated by external load changes. Their vibration characteristics are related directly to the safety of the structure. Although the free vibration characteristics of the structure can be calculated accurately by numerical simulation with mature commercial software, the practical and straightforward approximate formula still is of considerable value. The existing theoretical results of the vertical symmetrical frequency calculations are excessively complex and thus cannot be applied. Herein, a simpler formula, obtained via a reasonable mathematical derivation, is proposed. This formula can directly reveal the mechanism of vertical vibration in suspension bridges.
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Data Availability Statement
All the data, models, and codes generated or used during the study appear in the published article.
References
Han, F. A., D. Dan, Y. D. Zou, and H. D. Lei. 2020. “Experimental and theoretical study on cable-supporting system.” Mech. Syst. Sig. Process. 140 (Jun): 106638. https://doi.org/10.1016/j.ymssp.2020.106638.
Irvine, H. M., and T. K. Caughey. 1974. “The linear theory of free vibrations of a suspended cable.” Proc. R. Soc. A 341 (1626): 299–315. https://doi.org/10.1098/rspa.1974.0189.
Luco, J. E., and J. Turmo. 2010. “Linear vertical vibrations of suspension bridges: A review of continuum models and some new results.” Soil Dyn. Earthquake Eng. 30 (9): 769–781. https://doi.org/10.1016/j.soildyn.2009.10.009.
West, H. H., J. E. Suhoski, and L. F. Geschwindner, Jr. 1984. “Natural frequencies and modes of suspension bridges.” J. Struct. Eng. 110 (10): 2471–2486. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:10(2471).
Xiao, A. 2016. Exploration, and practice of suspension bridge for a century. Beijing: People’s Transportation Press.
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© 2022 American Society of Civil Engineers.
History
Received: Oct 14, 2021
Accepted: May 19, 2022
Published online: Aug 3, 2022
Published in print: Nov 1, 2022
Discussion open until: Jan 3, 2023
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