@article { author = {Big-Alabo, Akuro and Ossia, Chinwuba}, title = {Analysis of the Coupled Nonlinear Vibration of a Two-Mass System}, journal = {Journal of Applied and Computational Mechanics}, volume = {5}, number = {5}, pages = {935-950}, year = {2019}, publisher = {Shahid Chamran University of Ahvaz}, issn = {2383-4536}, eissn = {2383-4536}, doi = {10.22055/jacm.2019.28296.1474}, abstract = {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.}, keywords = {Continuous piecewise linearization method,Two-mass system,Cubic Duffing oscillator,Coupled nonlinear vibration}, url = {https://jacm.scu.ac.ir/article_14262.html}, eprint = {https://jacm.scu.ac.ir/article_14262_4a21619e07808d81ab4e4516f8d80dd2.pdf} }