RANDOM PARAMETRIC VIBRATIONS OF A VISCOELASTIC ROD UNDER THE INFLUENCE OF AN AXIAL FORCE

Abstract

Random bending vibrations of a viscoelastic rod under the action of a periodic axial force are considered. To take into account the random nature of the viscoelastic properties of the rod material, it is assumed that the relaxation kernel is a Gaussian stationary random function of time. The correlation function and variance of the solution are constructed. The results are presented in the Figures.