Research Article
Mar 1978
Free Lateral Vibrations of Suspension Bridges
Publication: Journal of the Structural Division
Volume 104, Issue 3
Abstract
A method is developed based on a linearized theory and the finite-element method. The method involves two distinct steps: (1)Specification of the potential and kinetic energies of the bridge, (2)use of finite element technique to: (a)discretize the structure into equivalent systems of finite elements; (b)select the displacement model most closely approximating the real case; (c)derive the element and assemblage stiffness and inertia properties; and finally (d)form the matrix equations of motion and the resulting eigenproblems. A numerical example is presented to illustrate the applicability of the analysis and to investigate the dynamic characteristics of laterally vibrating suspension bridges. This method eliminates the need to solve transcendental frequency equations, simplifies the determination of the energy stored in different members of the bridge, and represents a simple, fast, and accurate tool for calculating the natural frequencies and modes of lateral vibration by means of a digital computer.
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Published In
Journal of the Structural Division
Volume 104 • Issue 3 • March 1978
Pages: 503 - 525
Copyright
© 1978 American Society of Civil Engineers.
History
Published in print: Mar 1978
Published online: Feb 1, 2021
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Authors
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Ahmed M. Abdel-Ghaffar, AM.ASCE
Research Fellow, Civ. Engrg. Dept., California Inst. of Tech., Pasadena, Calif.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.