Lumped parameter representation of a longitudinally vibrating elastic rod viscously damped in-span

Abstract

In the first step, the characteristic equation of the continuous system is derived. In the second, the rod is modelled as a uniform oscillator consisting of n equal masses and springs. The main purpose of the work was to study the dependence of the convergence of the uniform oscillator model eigencharacteristics towards those obtained from the continuous system, on the number of discrete masses