Parametric Instability of an Oscillator moving on a Railway Track

The instability of a moving mass / oscillator due to surpassing the velocity of the minimum group wave velocity (in a continuous homogeneous structure) has been studied extensively and is well understood. In contrary to that, Parametric Instability of a moving mass / oscillator on a continuous periodic structure has been studied less extensive...

Combination parametric resonance of an oscillator that moves uniformly along a beam on a periodically inhomogeneous foundation

A new form of high-speed transportation, which involves a magnetically levitated vehicle that travels through a vacuum tube, is currently under development. Those parts of the trajectory along which the tube is supported by columns---which possess both axial and bending stiffness---requires the use of a model that allows to study a form of...