Authors: Kozić, Predrag
Pavlović, Ratko
Karličić, Danilo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: The flexural vibration and buckling of the elastically connected parallel-beams with a Kerr-type layer in between
Journal: Mechanics Research Communications
Volume: 56
First page: 83
Last page: 89
Issue Date: 1-Mar-2014
Rank: M22
ISSN: 0093-6413
DOI: 10.1016/j.mechrescom.2013.12.003
This paper presents an analytical theory to define the dynamic characteristics of the elastically connected parallel-beams under compressive axial loading. It is assumed that the two parallel-beams of the system are simply supported and continuously joined by a Kerr-type three parameter model. The motion of the system is described by a set of three homogeneous partial differential equations, which are solved by using the classical Bernoulli-Fourier method. The natural frequencies, associated amplitude ratio and the critical buckling load for complex system are determined. The presented theoretical analysis is illustrated by a numerical example and results compared with the results in papers Oniszczuk (2000) and Zhang et al. (2008). © 2013 Elsevier Ltd.
Keywords: Boundary conditions | Complex system | Critical buckling load | Kerr-type model | Natural frequency
Publisher: Elsevier
Project: Dynamics of hybrid systems with complex structures. Mechanics of materials. 
Dynamic stability and instability of mechanical systems subjected to stochastic excitations 

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