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Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 6/2018

20.02.2018 | Original

Vibration of nonlinear bolted lap-jointed beams using Timoshenko theory

verfasst von: Farhad Adel, Majid Jamal-Omidi

Erschienen in: Archive of Applied Mechanics | Ausgabe 6/2018

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Abstract

This paper investigates the vibrational behavior of a system which consists of two free–free Timoshenko beams interconnected by a nonlinear joint. To model the bolted lap joint interface, a combination of the linear translational spring, linear and nonlinear torsional springs, and a linear torsional damper is used. The governing equations of motion are derived using the Euler–Lagrange equations. The reduced-order model equations are obtained based on Galerkin method. The set of coupled nonlinear equations are then analytically solved using the harmonic balance approach and numerical simulation. A parametric study is carried out to reveal the influence of different parameters such as linear and nonlinear torsional spring, linear translational spring, and linear torsional damper on the vibration and stability of the bolted lap joint structure. It is shown that the effect of the nonlinear torsional spring on the response of the system is significant. Interestingly, it is observed that in the presence of the nonlinear spring the softening behavior could be changed to hardening behavior. In addition, the effects of the different engineering beam theories on the modeling of the substructures are studied and it is observed that considering the effect of the rotary inertia and shear deformations is significant. In addition, it is observed that neglecting each of them can yield completely wrong interpretations of the system behavior and incorrect results.
Vorheriger Artikel New analytic method for free torsional vibration analysis of a shaft with multiple disks and elastic supports
Nächster Artikel Generalized spiral torsion spring energetic model

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Metadaten
Titel
Vibration of nonlinear bolted lap-jointed beams using Timoshenko theory
verfasst von
Farhad Adel
Majid Jamal-Omidi
Publikationsdatum
20.02.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 6/2018
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-018-1353-2

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