Cable Modal Parameter Identification. I: Theory
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Volume 135, Issue 1
Abstract
Cable modal parameters (natural frequencies and damping ratios) that represent the cable inherent dynamic characteristics play an important role in the construction, vibration control, condition assessment, and long-term health monitoring of cable-supported structures. The existing options to identify cable modal parameters through vibration measurements are somewhat limited. For this purpose, a cable dynamic stiffness based method is presented to effectively identify the cable modal parameters. In the first part of this two-part paper, the cable dynamic stiffness is analytically discussed for a viscously damped, uniform, inclined sagging cable supported at the lower end and subjected to a harmonically varying arbitrary angle displacement excitation in an arbitrary angle at the upper end when the cable is assumed to have a parabolic profile at its position of static equilibrium. Special attention is paid to the physical meaning and significance of every part of the frequency-dependent closed-form cable dynamic stiffness. Comprehensive numerical analyses have been carried out and a simplified cable dynamic stiffness is proposed for the purpose of identifying the cable modal parameters with a good accuracy over a wide range of frequencies.
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Acknowledgments
Financial support from the Natural Science Foundation of China (NSFC), under Grant Nos. NSFC50378021 and NSFC50678173, is greatly acknowledged. The first writer also acknowledges financial support from the Program for New Century Excellent Talents (NCET) in University, Ministry of Education, People’s Republic of China.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 135 • Issue 1 • January 2009
Pages: 41 - 50
Copyright
© 2009 ASCE.
History
Received: May 18, 2007
Accepted: Jul 15, 2008
Published online: Jan 1, 2009
Published in print: Jan 2009
Notes
Note. Associate Editor: Lambros S. Katafygiotis
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