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...

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Bibliographic Details
Main Authors: Akuro Big-Alabo, Chinwuba Ossia
Format: Article
Language:English
Published: Shahid Chamran University of Ahvaz 2019-10-01
Series:Journal of Applied and Computational Mechanics
Subjects:
Online Access:http://jacm.scu.ac.ir/article_14262_4a21619e07808d81ab4e4516f8d80dd2.pdf
Description
Summary: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.
ISSN:2383-4536
2383-4536