The transverse vibrations of the beams of a constant cross section are taken into account, taking into account the damping. We consider random oscillations of a beam under the action of vector kinematic and dynamic effects. The examples show the influence of correlation coefficients on the standard deviations of the cross sections of a beam. The internal forces in the form of bending moments and transverse forces are determined. An example of an action of a random process with a latent periodicity is given

Keywords: Beam, damping, deflection, bending moment, shear force, random process, spectral matrix, correlation, vector, matrix, transfer function