Dynamic Stability of an Infinite Non-homogenous Euler's Beam Resting on a Three-parameter Inertial Foundation, Subjected to a Moving Distributed Load

The paper deals with dynamic stability of an infinite non-homogenous Euler's beam subjected to an infinitely long, inertial, uniformly distributed moving load. The beam rests on a three-parameter unidirectional inertial foundation of the Vlasov's type. A new method of taking into account the offset of the ballast in the transverse sections of the beam is put forward. A critical force has been evaluated. This force depends not only upon the parameters of the moving load, i.e. its mass mp and velocity v, but also upon the three parameters of the inertial foundation: k0, c0 and m0.