Analytical vibration modelling and solution of bars with frictional clamps
Analytical vibration modelling and solution of bars with frictional clamps
The present study introduces a novel analytical solution to predict the nonlinear dynamic behaviour of bars under frictional clamping in axial and torsional motions. It investigates the vibration characteristics of straight bars with imperfect supports, which introduce dry friction at their contact interfaces. The bars are tightly clamped between rigid fixtures, with the tightening load acting as a normal load that induces friction, thus adding nonlinearity to the system. The model simplifies contact forces to point loads and utilises both the Jenkins and velocity-dependent friction models for simulating contact friction. These frictional forces are represented as solution-dependent external forces in the governing differential equation for bar vibration, which also includes appropriate boundary conditions. The equation is solved both analytically and through the numerical method of alternating frequency-time harmonic balance, to explore the influence of contact parameters on the bar’s support system behaviour. Comparisons between the numerical and analytical results demonstrate strong agreement, confirming the model’s accuracy and validity.
Tufekci, Mertol
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Sun, Yekai
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Yuan, Jie
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Maharaj, Chris
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Liu, Haibao
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Dear, John P.
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Salles, Loïc
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Tufekci, Mertol
29c9fb3e-9617-4f98-8150-ec06e06398fe
Sun, Yekai
f9a339ca-9e03-4220-8df6-0c7ecf47c06c
Yuan, Jie
4bcf9ce8-3af4-4009-9cd0-067521894797
Maharaj, Chris
d3d05395-4bcc-4433-9b04-1949af8dac8d
Liu, Haibao
48ba3d28-67db-4231-ab6a-a9b1507792f8
Dear, John P.
3c3322d8-f289-4eb5-83ae-d5ac084616cd
Salles, Loïc
77edabbd-432c-4907-b888-fd44b563476d
Tufekci, Mertol, Sun, Yekai, Yuan, Jie, Maharaj, Chris, Liu, Haibao, Dear, John P. and Salles, Loïc
(2024)
Analytical vibration modelling and solution of bars with frictional clamps.
Journal of Sound and Vibration.
(In Press)
Abstract
The present study introduces a novel analytical solution to predict the nonlinear dynamic behaviour of bars under frictional clamping in axial and torsional motions. It investigates the vibration characteristics of straight bars with imperfect supports, which introduce dry friction at their contact interfaces. The bars are tightly clamped between rigid fixtures, with the tightening load acting as a normal load that induces friction, thus adding nonlinearity to the system. The model simplifies contact forces to point loads and utilises both the Jenkins and velocity-dependent friction models for simulating contact friction. These frictional forces are represented as solution-dependent external forces in the governing differential equation for bar vibration, which also includes appropriate boundary conditions. The equation is solved both analytically and through the numerical method of alternating frequency-time harmonic balance, to explore the influence of contact parameters on the bar’s support system behaviour. Comparisons between the numerical and analytical results demonstrate strong agreement, confirming the model’s accuracy and validity.
Text
tufekci2024b_JSV_accepted
- Accepted Manuscript
More information
Accepted/In Press date: 2024
Additional Information:
Mertol T¨ufekci would like to acknowledge the support of the Scientific and Technological Research Council of Turkey (TUBITAK) (fund B˙IDEB 2213 2016/2) that makes this research possible. Yekai Sun is grateful to China Scholarship Council (File NO. 201708060239) for providing the financial support. The authors would like to thank Alessandra Vizzaccaro for her valuable contributions to this research. The authors would also like to acknowledge computational resources and support provided by the Imperial College Research Computing Service (http://doi.org/10.14469/hpc/2232). For the purpose of open access, the authors have applied a Creative Commons Attribution (CC BY) license to any Author Accepted Manuscript version.
Identifiers
Local EPrints ID: 486563
URI: http://eprints.soton.ac.uk/id/eprint/486563
ISSN: 0022-460X
PURE UUID: e43bef8a-04ca-4282-93f3-d0fc80285bb0
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Date deposited: 26 Jan 2024 17:37
Last modified: 18 Mar 2024 04:12
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Contributors
Author:
Mertol Tufekci
Author:
Yekai Sun
Author:
Jie Yuan
Author:
Chris Maharaj
Author:
Haibao Liu
Author:
John P. Dear
Author:
Loïc Salles
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