Vesnitskii A.V. and Metrikine
A.V. |
Instability of a vibrating mass uniformly moving along a stochastically non-homogeneous elastic track |
Mechanics of Solids 31(5), 135-141, 1996 |
Summary. Vibrations of a mass are studied moving uniformly along an infinite
string on a randomly inhomogeneous visco-elastic foundation. It is shown that
the vibrations of the mass can become unstable in average. The instability
occurs if the condition of the stochastic parametric resonance is satisfied,
i.e. if the eigenfrequency of the mass as it moves along the string on the
homogeneous foundation is close to half the characteristic frequency with
which the stiffness of the foundation varies at the contact point. The
borders of the main instability zones are found and the effect of the
correlation radius of the inhomogeneity on the stability of the system is
analyzed. |