Three-Dimensional Elastic Catenary Cable Element Considering Sliding Effect
Publication: Journal of Engineering Mechanics
Volume 137, Issue 4
Abstract
The nonlinear behavior of cable-supported bridges is governed by the geometric nonlinearity of cables, which is attributable to sag and sliding effects at the saddle. In a cable-stayed bridge with a midspan saddle, and in all suspension bridges, cable sliding can occur at the saddle under extreme forces, such as those caused by an earthquake or typhoon. However, the conventional method of analysis of cable-supported bridges does not consider the effect of cable sliding at the saddle; instead it regards those cables as fixed. This assumption might lead to a misunderstanding of the global structure system. The goal of this study is to develop a three-dimensional (3D) elastic cable finite element that considers the sliding effect and uses a geometric nonlinear cable finite element based on elastic catenary theory. In this study, two types of sliding were considered: the roller sliding condition without friction and the frictional sliding condition. These were formulated to derive the nodal force vectors and tangential stiffness matrices. To validate the proposed 3D cable sliding element, experiments were conducted for both sliding conditions, and results were compared with calculations of the amount of sliding and displacement at the loading point. In addition, a cable-supported structural system was analyzed to investigate the characteristics of a realistic structure with cable sliding. Overall calculations using the 3D cable sliding model were in very good agreement with the measured values.
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Acknowledgments
This research was also partly supported by the Seoul National University, the Social Infrastructure Research Group of the Brain Korea 21 Research Program funded by Ministry of Education, Science and TechnologyKMST. This research was also made possible by financial support from POSCO E&C of Korea.
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© 2011 American Society of Civil Engineers.
History
Received: Nov 14, 2008
Accepted: Oct 13, 2010
Published online: Oct 19, 2010
Published in print: Apr 1, 2011
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