analysis of the coupled nonlinear vibration of a two-mass system

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