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Investigation of Spatial-Varying Frequencies Concerning Effects of Moving Mass on a Beam

Judy P. Yang

https://orcid.org/0000-0002-3792-2821

Department of Civil Engineering, National Yang Ming Chiao Tung University, Hsinchu 300093, Taiwan

E-mail Address: jpyang@nycu.edu.tw

Corresponding author.

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Zhi-Yuan Su

Department of Civil Engineering, National Yang Ming Chiao Tung University, Hsinchu 300093, Taiwan

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J. D. Yau

Department of Architecture, Tamkang University, New Taipei City 251301, Taiwan

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, and

D. S. Yang

Department of Civil Engineering, Monash University, Clayton, Victoria 3800, Australia

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https://doi.org/10.1142/S0219455423400023Cited by:4 (Source: Crossref)

This article is part of the issue:

Special Issue on Structural Engineering Dedicated to the 70th Birthday of Professor Y. B. Yang
Guest Editors: Weiyong Wang, C. W. Lim and Jie Yang

Abstract

The spatial-varying frequency of a vehicle-bridge interaction (VBI) system subjected to a moving mass is theoretically derived and numerically investigated through a three-dimensional VBI model, in which the effects of moving mass are introduced through the inertial force and centrifugal force in the equation of motion of the bridge. For a large vehicle-to-bridge mass ratio, it has been known that the frequency of a VBI system could change with respect to the location of a moving vehicle. As such, this study derives the analytical solution based on a moving mass-beam system to account for frequency variation and further builds the numerical model with detailed implementation for practical applications. The numerical results show the following findings: (1) The frequency of a VBI system is a function of velocity and location of a moving vehicle. (2) The reduction of spatial-varying frequency ratio for a particular mode decreases with respect to the mode of higher order. (3) The maximum reduction of spatial-varying frequency ratio of the first mode in a moving mass-beam system occurs in the location where the bridge has the maximum deflection as a result of local mode excitation. (4) For the VBI system with high suspension stiffness and large vehicle-to-bridge mass ratio, the absolute variation of spatial-varying frequency ratio of the first mode can be up to 30–40%.

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