Optimal suppression of parametric vibration in discs under rotating frictional loads

摘要

This paper investigates the parametric resonances of a stationary disc excited by a rotating frictional load and influenced by a series of mass-spring-damper systems with or without friction. The genetic algorithm is used to find out the right number of mass-spring-damper systems and their optimal positions in order to reduce and even eliminate the dynamic instability caused by the rotating friction as a follower force on the disc surface. It is found that, if these mass-spring-damper systems involve no or low friction, they can reduce or suppress the dynamic instability of friction-induced parametric resonances when correctly located, but they have, at best, no effect when the level of friction is high.