Analytical solution; Bar vibrations; Frequency response; Friction damping; Nonlinear force; Axial motions; Bar vibration; Dry friction; Nonlinear dynamic behaviors; Torsional motion; Vibration characteristics; Vibration modeling; Condensed Matter Physics; Mechanics of Materials; Acoustics and Ultrasonics; Mechanical Engineering
Abstract :
[en] 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.
Disciplines :
Mechanical engineering
Author, co-author :
Tüfekci, Mertol ; Department of Mechanical Engineering, Imperial College London, South Kensington Campus, London, United Kingdom
Sun, Yekai; Department of Mechanical Engineering, Imperial College London, South Kensington Campus, London, United Kingdom
Yuan, Jie; Computation Engineering Design Group, Department of Aeronautics and Astronautics, University of Southampton, United Kingdom
Maharaj, Chris; Department of Mechanical and Manufacturing Engineering, The University of the West Indies, Trinidad and Tobago
Liu, Haibao; School of Engineering and Materials Science, Queen Mary University of London, London, United Kingdom
Dear, John P. ; Department of Mechanical Engineering, Imperial College London, South Kensington Campus, London, United Kingdom
Salles, Loïc ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Mechanical aspects of turbomachinery and aerospace propulsion
Language :
English
Title :
Analytical vibration modelling and solution of bars with frictional clamps
Scientific and Technological Research Council of Turkey CSC - China Scholarship Council
Funding text :
The authors would also like to acknowledge computational resources and support provided by the Imperial College Research Computing Service ( https://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. Jie Yuan acknowledges the funding support of the Royal Academy of Engineering/Leverhulme Trust Research Fellowship ( LTRF2223-19-150 ).Mertol Tüfekci would like to acknowledge the support of the Scientific and Technological Research Council of Turkey (TUBITAK) (fund BİDEB 2213 2016/2 ) that makes this research possible. Yekai Sun is grateful to China Scholarship Council (File NO. 201708060239 ) for providing the financial support.Mertol Tüfekci would like to acknowledge the support of the Scientific and Technological Research Council of Turkey (TUBITAK) (fund BİDEB 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 ( https://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. Jie Yuan acknowledges the funding support of the Royal Academy of Engineering/Leverhulme Trust Research Fellowship (LTRF2223-19-150).
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