Fluctuation of a beam with the concentrated masses on elastic mobile support

Abstract

Kinematically excited transverse vibrations of multispan beams with attached lumped masses. A mathematical model of the oscillations, which is based on two systems of differential equations. The first system describes the fluctuations of the constant part of the beam, and the second describes the linear and angular displacements of the discrete lumped masses. Defines a vector-function of displacements for harmonic disturbances of the supports. The influence of the phase shift of harmonic disturbances at the same frequency of oscillation.