Forced vibration analysis of beams with frictional clamps

Analytical solution; Beam vibrations; Frequency response; Friction damping; Nonlinear force; Analysis of beams; Beam vibration; Contact interface; Forced vibration; Governing differential equations; Harmonic displacement; Vibrations analysis; Modeling and Simulation; Applied Mathematics

Abstract :

[en] This study investigates the vibration characteristics of rectangular cross-sectioned and straight beams with imperfect supports, focusing on the role of dry friction at the contact interfaces. The contact interactions are reduced to resultant point loads, and the friction at the contact interfaces is modelled using the Jenkins friction model, introducing nonlinearity into the system. These nonlinear terms are included in solution-dependent boundary conditions for the governing differential equation of beam vibration. Two cases are considered in detail and solved: one where the beam is tightened between rigid clamps at both ends and excited from the middle with a harmonic displacement function, and another where only one end is clamped with the other end free but excited with an imposed harmonic displacement. The governing differential equation is solved analytically, separating the motion into two distinct regimes - full-stick and full-slip, using the Galerkin method. The results acquired from this analytical model are then compared to those from a numerical model, which is built and solved using the finite element method combined with a frequency sweep and time-marching.

Disciplines :

Mechanical engineering

Author, co-author :

Tüfekci, Mertol ; Imperial College London Department of Mechanical Engineering, London, United Kingdom

Dear, John P. ; Imperial College London Department of Mechanical Engineering, London, United Kingdom

Salles, Loïc ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Mechanical aspects of turbomachinery and aerospace propulsion ; Imperial College London Department of Mechanical Engineering, London, United Kingdom

Language :

English

Title :

Forced vibration analysis of beams with frictional clamps

Publication date :

April 2024

Journal title :

Applied Mathematical Modelling

ISSN :

0307-904X

eISSN :

1872-8480

Publisher :

Elsevier Inc.

Volume :

128

Pages :

450 - 469

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://api.elsevier.com/content/article/PII:S0307904X24000313?httpAccept=text/xml

Funders :

TÜBİTAK - Scientific and Technological Research Council of Turkey

Funding text :

Mertol Tüfekci would like to acknowledge the support of the Scientific and Technological Research Council of Turkey (TÜBİTAK) (fund BİDEB 2213 2016/2 ) that makes this research possible.Mertol Tüfekci would like to acknowledge the support of the Scientific and Technological Research Council of Turkey (TÜBİTAK) (fund BİDEB 2213 2016/2) that makes this research possible. 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.

Available on ORBi :

since 11 December 2024

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