Large amplitude motion mechanism and non-planar vibration character of stay cables subject to the support motions

• Published in: Journal of sound and vibration Vol. 327; no. 1; pp. 121 - 133
• Main Authors: Wang, Lianhua, Zhao, Yueyu
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 23.10.2009; Elsevier
• Subjects: Applied sciences; Bridges; Buildings. Public works; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Suspension bridges. Stayed girder bridges. Bascule bridges. Swing bridges; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Cable; Vibration; Path following method; Quasi static theory; Large displacement; Continuation method; Free end support; Modeling; Tilt angle; Stayed girder bridge; Periodic motion; Frequency response; Non linear effect; Shooting method; Mechanical tension
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/j.jsv.2009.06.013

In this study, the shooting method and the continuation technique are applied to investigate the large amplitude motion and non-planar motion characteristic of the inclined cable subject to the support motion. Considering the geometric nonlinearity and the quasi-static assumption, a spatial discrete model of the cable is formulated, which is used to determine the frequency–response curves of the cable. The effects of the amplitude of the support motion and the inclined angle on the coupling motion of the inclined cable are investigated. It is shown that the coupling motion may occur, and the motions play a noticeable role on the axial tensions of the cable. Also, the non-periodic spatial motions of the cable are examined through direct simulations.