Modeling of Very Large Interacting Multiple-Beam Systems with Application to Suspension Bridge Cables
Publication: Journal of Structural Engineering
Volume 139, Issue 9
Abstract
Systems of parallel beams connected with springs appear often in engineering. Typical examples are bundles of wires, such as the ones appearing in suspension bridge cables. These connections result in coupling of the differential equations describing the problem. In this paper, two systems of parallel beams connected with springs perpendicular to the beams are examined: multiple beams connected with springs, and multiple beams of common stiffness connected with springs and subjected to a common tensile axial load. A method is proposed to decouple the system of coupled equations into uncoupled differential equations for which exact shape functions can be constructed, so that the computational effort associated with systems involving a very large number of beams can become manageable. Numerical examples are presented demonstrating the capabilities of the proposed method.
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Acknowledgments
This work was supported by the National Science Foundation under Grant No. CMMI-0928129 with Dr. Mahendra P. Singh as Program Director.
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Published In
Journal of Structural Engineering
Volume 139 • Issue 9 • September 2013
Pages: 1541 - 1554
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Feb 23, 2012
Accepted: Sep 12, 2012
Published online: Sep 17, 2012
Published in print: Sep 1, 2013
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