Dynamic Analysis of Eccentrically Prestressed Damped Beam under Moving Harmonic Force Using Higher Order Shear Deformation Theory
Publication: Journal of Structural Engineering
Volume 133, Issue 12
Abstract
The dynamic behavior of an eccentrically prestressed simply supported beam under a moving harmonic force is studied by using the higher order shear deformation theory in this paper. The prestressed tendon is assumed straight and unbonded with the concrete. The Lagrange’s equations are used to examine the dynamic response of the beam. Trial functions denoting the deflection of the beam and the rotation of the cross sections are expressed in polynomial forms. The Kelvin-Voigt model for the material of the beam is used. By using Lagrange’s equations, the problem is reduced to a system of differential equations and they are solved by using the direct time integration. Convergence study is performed. The effects of an eccentric and an axial prestress force, velocity of a moving harmonic force, excitation frequency, shear deformation, and the viscous damping of the material on the deflection of the beam are examined.
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Acknowledgments
The writers thank the reviewers for their most important comments that improved the quality of the paper.
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Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 133 • Issue 12 • December 2007
Pages: 1733 - 1741
Copyright
© 2007 ASCE.
History
Received: Jan 9, 2006
Accepted: Nov 27, 2006
Published online: Dec 1, 2007
Published in print: Dec 2007
Notes
Note. Associate Editor: Yahya C. Kurama
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