Resonant Interaction of a Beam and an Elastic Foundation During the Motion of a Periodic System of Concentrated Loads

The vibrations of a beam on an elastic foundation under the action of a periodic system of moving concentrated forces are analyzed against different spatial periods and different velocity ranges separated by three critical values. It is established that for velocities ranging from zero to the minimum critical value, resonance does not occur and the beam deflection weakly depends on the force velocity. For velocities exceeding the minimum critical value, a dense spectrum of resonant frequencies is observed__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 5, pp. 116–123, May 2005.