Parametric stability of continuous shafts, connected to mechanisms with position-dependent inertia

Stability of the parametrically excited torsional vibrations of shafts connected to mechanisms with position-dependent inertia is studied via a version of Bolotin's method. The shafts are considered to be torsionally elastic, distributed parameter systems and discretized through a finite element scheme. The mechanisms are modelled by a linearized Eksergian equation of motion. A general method of analysis is described and applied to examples with slider–crank and Scotch-yoke mechanisms.