Timoshenko Beams on Linear Viscoelastic Foundations
Publication: Journal of Geotechnical Engineering
Volume 109, Issue 6
Abstract
A method of solution for quasistatic bending problems of Timoshenko beams on linear viscoelastic foundations obeying Winkler's hypothesis is developed by using the eigenfunctions derived from free vibration problems of Timoshenko beams resting on no foundation and by using the correspondence principle between the viscoelastic problem and the associated elastic problem. Series solutions of the eigenfunctions are rapidly convergent and give accurate results by taking only the first several terms of the series. A successive iteration method for evaluating the eigenvalues is also presented. Numerical results for the variations of deflection and reactive force in space and time are illustrated for a Timoshenko beam with free ends on the viscoelastic foundations of the Kelvin, Maxwell, and Standard linear solid types. The effect of shear deformation on the flexure of beam is discussed.
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Published In
Journal of Geotechnical Engineering
Volume 109 • Issue 6 • June 1983
Pages: 832 - 844
Copyright
Copyright © 1983 ASCE.
History
Published online: Jun 1, 1983
Published in print: Jun 1983
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