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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Shahid Chamran University of Ahvaz
2019-10-01
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Series: | Journal of Applied and Computational Mechanics |
Subjects: | |
Online Access: | http://jacm.scu.ac.ir/article_14262_4a21619e07808d81ab4e4516f8d80dd2.pdf |
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. |
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ISSN: | 2383-4536 2383-4536 |