|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||Abstract:||
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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