Analysis of the Coupled Nonlinear Vibration of a TwoMass System

This paper presents a fixedend twomass system (TMS) with end constraints that permits uncoupled solutions for different masses. The coupled nonlinear models for the present fixedend TMS were solved using the continuous piecewise linearization method (CPLM) and detailed investigation on the effect of massratio on the TMS response was conducted. The investigations showed that increased massratio leads to decreased oscillation frequency and an asymptotic response was obtained at very large massratios. Theoretical solutions to determine the asymptotic response were derived. Also, it was observed that distinct responses can be obtained for the same massratio depending on the mass combination in the TMS. The present fixedend TMS and the analyses presented give a broader understanding of fixedend TMS.