Measured Frequency for the Estimation of Cable Force by Vibration Method
Publication: Journal of Engineering Mechanics
Volume 141, Issue 2
Abstract
The vibration method is a very important technique used to estimate cable force. However, the measured in-plane frequency may include a contribution from the cable-deck interaction. In this study, the equations of motion of a cable-stayed beam are obtained to consider the effects of the interaction, and its eigenvalue problems are investigated. The closed-form eigenvalue solution and numerical results are applied to discuss the measured frequency for the estimation of the cable force. It is shown that the cable-deck interaction does not affect the low-order out-of-plane frequencies of the cable-stayed beam, and the fundamental frequency can be used to estimate the cable force. Finally, a practical treatment of the measured frequency is proposed.
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Acknowledgments
The study was supported by the National Science Foundation of China under Grant Nos. 10972073, 11032004, and 51278183, and the New Century Excellent Talents in University (NCET-09-0335). The valuable comments and suggestions from the three anonymous reviewers are also gratefully acknowledged.
References
Casas, J. R. (1994). “A combined method for measuring cable forces: The cable-stayed Alamillo Bridge, Spain.” Struct. Eng. Int., 4(4), 235–240.
Cho, S., Yim, J., Shin, S. W., Jung, H.-J., Yun, C.-B., and Wang, M. L. (2013). “Comparative field study of cable tension measurement for a cable-stayed bridge.” J. Bridge Eng., 748–757.
Fang, Z., and Wang, J.-q. (2012). “Practical formula for cable tension estimation by vibration method.” J. Bridge Eng., 161–164.
Irvine, H. M. (1981). Cable structures, Massachusetts Institute of Technology (MIT), Cambridge, MA.
Kim, B. H., and Park, T. (2007). “Estimation of cable tension force using the frequency-based system identification method.” J. Sound Vib., 304(3–5), 660–676.
Ren, W.-X., Chen, G., and Hu, W.-H. (2005). “Empirical formulas to estimate cable tension by cable fundamental frequency.” Struct. Eng. Mech., 20(3), 363–380.
Ren, W.-X., and Hu, W.-H. (2009). “Cable modal parameter identification. I: Theory.” J. Eng. Mech., 41–50.
Russell, J. C., and Lardner, T. J. (1998). “Experimental determination of frequencies and tension for elastic cables.” J. Eng. Mech., 1067–1072.
Zui, H., Shinke, T., and Namita, Y. (1996). “Practical formulas for estimation of cable tension by vibration method.” J. Struct. Eng., 651–656.
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 2 • February 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Mar 30, 2014
Accepted: Oct 2, 2014
Published online: Nov 10, 2014
Published in print: Feb 1, 2015
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