Dynamic Response of Beam on Viscoelastic Subgrade

by Jan D. Achenbach,
Chin-teh Sun,

Serial Information: Journal of the Engineering Mechanics Division, 1965, Vol. 91, Issue 5, Pg. 61-76

Document Type: Journal Paper


Initial elasticity and restricted viscous flow of a subgrade greatly influence the dynamic response of a Bernoulli-Euler beam supported by such a subgrade. The beam is of infinite length and is subject to a moving concentrated load. The standard linear viscoelastic solid represents the Winkler-type viscoelastic foundation. It is shown that the effect of the foundation damping is most pronounced over a certain limited velocity range of the concentrated load. Unbounded critical-velocity resonance does not occur. The influence of initial elasticity is exhibited by a comparison with the response of a beam supported by a foundation of Kelvin models. Analytical expressions as well as graphs are presented for the beam deflections and the bending moments.

Subject Headings: Beams | Foundations | Elastic analysis | Subgrades | Concentrated loads | Viscoelasticity | Viscous flow | Dynamic response

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