Cable Modal Parameter Identification. I: Theory |
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Authors: | Wei-Xin Ren Wei-Hua Hu |
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Affiliation: | 1Distinguished Professor, Dept. of Civil Engineering, Central South Univ., Changsha, Hunan Province, 410075, People’s Republic of China (corresponding author). E-mail: renwx@mail.csu.edu.cn 2Ph.D. Student, Dept. of Civil Engineering, Faculty of Engineering, Univ. of Porto, Rua Dr. Roberto Frias, s/n 4200-465, Porto, Portugal. E-mail: hu.weihua@fe.up.pt
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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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Keywords: | Construction equipment Cables Stiffness Vibration Parameters Least squares method Theories |
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