| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 791154 | Journal of Applied Mathematics and Mechanics | 2014 | 7 Pages |
The steady-state vertical oscillations of an infinite horizontal periodic chain of identical uniform solid rods joined by hinges and supported by a uniform viscoelastic base are studied. The oscillations are excited by a vertical complex harmonic force that moves along the chain at a constant speed. They are assumed to be steady oscillations in the following sense: a shift along the chain by a distance equal to the length of a rod causes the complex vertical deflection of the chain to be delayed for a time, during which the complex harmonic force is displaced by this distance. The problem is solved using a Fourier transform under the assumption that each point of the chain is in a quiescent state long before the approach of the harmonic force, and returns to the same state under the action of the viscous forces of the base after the harmonic force has withdrawn to infinity.
