Structural Engineering and Mechanics

Volume 25, Number 2, 2007, pages 219-237

DOI: 10.12989/sem.2007.25.2.219

Influence of cable loosening on nonlinear parametric vibrations of inclined cables

Qingxiong, WuKazuo Takahashi and Baochun Chen

Abstract

The effect of cable loosening on the nonlinear parametric vibrations of inclined cables is discussed in this paper. In order to overcome the small-sag limitation in calculating loosening for inclined cables, it is necessary to first derive equations of motion for an inclined cable. Using these equations and the finite difference method, the effect of cable loosening on the nonlinear parametric response of inclined cables under periodic support excitation is evaluated. A new technique that takes into account flexural rigidity and damping is proposed as a solution to solve the problem of divergence. The regions of inclined cables that undergo compression are also indicated.

Key Words

inclined cable; loosening; parametric vibration

Address

Qingxiong Wu; College of Civil Engineering, Fuzhou University, 523 Gongye Road, Fuzhou, Fujian, China<br />Kazuo Takahashi; Department of Civil Engineering, Faculty of Engineering, Nagasaki University, 1-14, <br />Bunkyo-machi, Nagasaki, Japan<br />Baochun Chen; College of Civil Engineering, Fuzhou University, 523 Gongye Road, Fuzhou, Fujian, China