Viscoelastic Timoshenko Beam Solutions from Euler-Bernoulli Solutions
Publication: Journal of Engineering Mechanics
Volume 123, Issue 7
Abstract
This study presents exact relationships between the bending solutions of linear viscoelastic Timoshenko beams and linear viscoelastic Euler-Bernoulli beams under quasi-static loadings. The relationships provide a direct conversion of well-known Euler-Bernoulli solutions to that of Timoshenko solutions without further need for a more complicated shear deformable analysis. They should be useful to engineers designing shear deformable beam constructed from viscoelastic materials or exhibiting viscoelastic behavior. Further, they provide valuable exact solutions for checking the validity, convergence, and accuracy of numerical results and software for the bending analysis of linear viscoelastic Timoshenko beams.
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References
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 123 • Issue 7 • July 1997
Pages: 746 - 748
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Jul 1, 1997
Published in print: Jul 1997
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