Self-excited vibration quenching by means of parametric excitation

摘要

This contribution supplements the paper presented on the colloquium Dynamics of Machines 2000, in which the possibility of self-excited vibration quenching by means of parametric excitation due to the spring stiffness variation has been analysed. There a two-mass system excited by flow has been treated. In this contribution the results of the analytical analysis are compared with numerical solutions of the governing differential equations. It is shown that there really exists an interval of the parametric excitation frequency where the vibration is fully suppressed and the equilibrium position is stable when certain conditions are met. This interval lies around the excitation frequency η = Ω{sub}2 - Ω {sub}1 where Ω{sub}1, Ω{sub}2 are the natural frequencies of the abbreviated system. A substantial vibration reduction can be achieved even when one of the conditions is not met.