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PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by: B.H.V. Topping and P. Iványi
The Effect of Support Flexibility on Frequency Veering in Imperfect Beams Resting on Elastic Foundations
M.S. Abdeljaber1 and A.A. Al-Qaisia2
1Civil Engineering Department
M.S. Abdeljaber, A.A. Al-Qaisia, "The Effect of Support Flexibility on Frequency Veering in Imperfect Beams Resting on Elastic Foundations", in B.H.V. Topping, P. Iványi, (Editors), "Proceedings of the Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 237, 2013. doi:10.4203/ccp.102.237
Keywords: frequency veering, rise shape, beam, elastic foundation, flexible ends.
This paper investigates the effect of support flexibility on the frequency veering phenomenon for an elastic Euler-Bernoulli beam resting on a Winkler elastic foundation with an initial shape rise, such as a half sine wave. The beams' support is modelled using springs to simulate the flexibility present in real and physical engineering applications, i.e. the two ends of the beam are hinged with translational and torsional springs.
The effect of the axial force induced by mid-plane stretching is accounted for in the derivation of the mathematical model, due to its importance and the significance of the nonlinear dynamic behaviour of the beam.
The governing partial differential equation are discretized using the assumed mode method and the linear version of the resulting equation will be solved and the effect of the physical parameters of the beam system are studied for a selected range of physical parameters such as; beam rise, translational springs constants, torsional springs constant and elastic foundation stiffness.
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