Research Article
Mar 1968
Dynamic Response of a Horizontally Curved Bridge
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VIEW THE REPLYAuthors: Chen Pang Tan, M.ASCE, and Sidney Shore, F.ASCEAuthor Affiliations
Publication: Journal of the Structural Division
Volume 94, Issue 3
Abstract
A method of analysis of the dynamic response of a simple-span horizontally curved bridge subjected to a constant moving force is presented. Differential equations for the out-of-plane vibrational motion of the curved bridge under the action of the constant moving force are derived and solved with the method of initial conditions. The effect of the torsional inertia is studied both in the free vibration solution and in the forced vibration solution. The parameters of the problem are radius of horizontal curvature, rigidity ratio, and speed parameter. The effects of warping and damping are also studied. The significant parameters that describe the behavior of the horizontally curved bridge are the radius of curvature and the rigidity ratio. The effect of changing either of these two parameters results in the change of the fundamental natural frequency of the curved bridge. Under the passage of the constant moving force, the curved bridge is vibrating basically at its fundamental natural frequency.
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Published In
Journal of the Structural Division
Volume 94 • Issue 3 • March 1968
Pages: 761 - 781
Copyright
© 1968 American Society of Civil Engineers.
History
Published in print: Mar 1968
Published online: Feb 1, 2021
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Affiliations
Chen Pang Tan, M.ASCE
Senior Research Engr., Franklin Inst. Research Labs., Philadelphia, Pa.; formerly Graduate Student, Graduate School of Arts and Sciences, Univ. of Pennsylvania, Philadelphia, Pa.
Sidney Shore, F.ASCE
Prof. and Chmn., Towne Sch. of Civ. and Mech. Engrg., Graduate Div. of Civ. Engrg., Univ. of Pennsylvania, Philadelphia, Pa.
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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.