Cable Force Calculation Using Vibration Frequency Methods Based on Cable Geometric Parameters
Publication: Journal of Performance of Constructed Facilities
Volume 31, Issue 4
Abstract
The accuracy of various cable force calculation formulas is analyzed based on the vibration frequency method and difference method. The influence of cable length and diameter on cable force calculation accuracy is studied. The calculation method based on cable geometric parameters is proposed to avoid iterative calculations while still considering the impact of sag and bending rigidity. The study shows that sag and bending rigidity of the cable affect calculation accuracy: the greater the cable force, the smaller the calculation error, especially for actual cable forces greater than 5,000 kN. When considering the influence of sag, peak values, which occur if the cable length and diameter are small, arise as errors in the cable force calculated by current cable force calculation methods. When considering the influence of bending stiffness, errors in the calculated cable force are prominent: the greater the diameter, the more the error; the longer the cable, the lower the error. Whether the actual cable force is greater than 5,000 kN or not, it can be determined by string theory. The cable force calculation method based on cable length and diameter is proposed with errors of within 10%.
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Acknowledgments
The authors appreciate the support of The National Natural Science Fund (No. 51678216 and No. 51678215); and The Fundamental Research Funds for the Central Universities (2015B17414).
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Published In
Journal of Performance of Constructed Facilities
Volume 31 • Issue 4 • August 2017
Copyright
©2017 American Society of Civil Engineers.
History
Received: May 11, 2016
Accepted: Oct 18, 2016
Published online: Feb 15, 2017
Discussion open until: Jul 15, 2017
Published in print: Aug 1, 2017
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