In a previous paper, the correspondence principle has been applied to derive the differential equations of motion of viscoelastic Timoshenko beams with or without external viscous damping. To study free vibrations these equations are solved by Laplace transform and boundary conditions are applied to obtain the attenuation factor and the frequency of the damped free vibrations and mode shapes. The present paper continues to analyze this subject and deals with the responses in deflection, bending slope, bending moment and shear for forced vibrations. Laplace transform and appropriate boundary conditions have been applied. Examples are given and results are plotted. The solution of forced vibrations of elastic Timoshenko beams obtained as a result of reduction from viscoelastic case and by eigenfunction expansion method concludes the paper.
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August 1976
This article was originally published in
Journal of Engineering for Industry
Research Papers
Forced Vibrations of Viscoelastic Timoshenko Beams
C. C. Huang,
C. C. Huang
Department of Mechanical Engineering, University of Western Australia, Nedlands, Western Australia
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T. C. Huang
T. C. Huang
Department of Engineering Mechanics, University of Wisconsin, Madison, Wisc.
Search for other works by this author on:
C. C. Huang
Department of Mechanical Engineering, University of Western Australia, Nedlands, Western Australia
T. C. Huang
Department of Engineering Mechanics, University of Wisconsin, Madison, Wisc.
J. Eng. Ind. Aug 1976, 98(3): 820-826
Published Online: August 1, 1976
Article history
Received:
June 4, 1975
Online:
July 15, 2010
Citation
Huang, C. C., and Huang, T. C. (August 1, 1976). "Forced Vibrations of Viscoelastic Timoshenko Beams." ASME. J. Eng. Ind. August 1976; 98(3): 820–826. https://doi.org/10.1115/1.3439036
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