Dynamic analysis of a two degree of freedom system with irrational nonlinearity
Dynamic analysis of a two degree of freedom system with irrational nonlinearity
In this paper, we propose an archetype two dof system with irrational type nonlinearity,which provides a strategy in nonlinear dynamics research using the original nonlinearity without any truncation.This model comprises two lumped masses linked by a pair of inclined elastic springs which are capable of resisting both tension and compression.Even the springs provide linear resistances, the system are strongly nonlinear of irrational type due to the geometry configuration of the mechanism.Responses to the external forcing amplitude and the frequency have been derived analytically by employing the complete elliptic integrals of the first and the second type for this typical nonlinear system. The results presented in this paper are valid for both smooth and discontinuous stages of the system. The direct treatment to the irrational nonlinearity has broadened the applications of the SD oscillator in engineering
irrational nonlinearity, SD oscillator, nonlinear dynamics, non-truncated nonlinear coupling system
978-88-906234-2-4
1-6
Sapienza Università di Roma
Cao, Qingjie
cd1f5d42-d297-42ff-a845-d02ee4066090
Xiong, Yeping
51be8714-186e-4d2f-8e03-f44c428a4a49
24 July 2011
Cao, Qingjie
cd1f5d42-d297-42ff-a845-d02ee4066090
Xiong, Yeping
51be8714-186e-4d2f-8e03-f44c428a4a49
Cao, Qingjie and Xiong, Yeping
(2011)
Dynamic analysis of a two degree of freedom system with irrational nonlinearity.
Bernardini, D., Rega, G. and Romeo, F.
(eds.)
In Proceedings of The 7th European Nonlinear Dynamics Conference.
Sapienza Università di Roma.
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
In this paper, we propose an archetype two dof system with irrational type nonlinearity,which provides a strategy in nonlinear dynamics research using the original nonlinearity without any truncation.This model comprises two lumped masses linked by a pair of inclined elastic springs which are capable of resisting both tension and compression.Even the springs provide linear resistances, the system are strongly nonlinear of irrational type due to the geometry configuration of the mechanism.Responses to the external forcing amplitude and the frequency have been derived analytically by employing the complete elliptic integrals of the first and the second type for this typical nonlinear system. The results presented in this paper are valid for both smooth and discontinuous stages of the system. The direct treatment to the irrational nonlinearity has broadened the applications of the SD oscillator in engineering
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More information
Published date: 24 July 2011
Venue - Dates:
7th European Nonlinear Dynamics Conference, Rome, Italy, 2011-07-24 - 2011-07-29
Keywords:
irrational nonlinearity, SD oscillator, nonlinear dynamics, non-truncated nonlinear coupling system
Organisations:
Fluid Structure Interactions Group
Identifiers
Local EPrints ID: 200857
URI: http://eprints.soton.ac.uk/id/eprint/200857
ISBN: 978-88-906234-2-4
PURE UUID: 71d5f416-6723-42bf-8b38-4cc14a6fd6e9
Catalogue record
Date deposited: 26 Oct 2011 13:43
Last modified: 15 Mar 2024 03:06
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Contributors
Author:
Qingjie Cao
Editor:
D. Bernardini
Editor:
G. Rega
Editor:
F. Romeo
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