| Issue |
MATEC Web Conf.
Volume 148, 2018
International Conference on Engineering Vibration (ICoEV 2017)
|
|
|---|---|---|
| Article Number | 06004 | |
| Number of page(s) | 4 | |
| Section | Dynamics of Composite and Smart Structures | |
| DOI | https://doi.org/10.1051/matecconf/201814806004 | |
| Published online | 02 February 2018 | |
Nonlinear dynamics of a planar hinged-supported beam with one end spring system
1
Department of Civil and Buildings Engineering, and Architecture, Polytechnic University of Marche, Ancona, Italy
2
Department of Applied Mechanics, Lublin University of Technology, Lublin, Poland
* Corresponding author: l.kloda@pollub.pl
Forced nonlinear oscillations of a planar, initially straight, Timoshenko beam are studied. The goal of this paper is to examine large amplitude vibrations of a hinged-simply supported beam with a linear axial spring on one end, allowing to consider the influence of varying axial boundary conditions. Influence of geometrical nonlinearity coming from very large deformations in axial, transversal and rotational directions on frequency response curves are presented for a wide spectrum of the spring stiffness. The complete frequency response curve is computed by a special pseudo continuation method of explicit numerical simulations. For selected cases, a jump phenomenon between branches and super/sub harmonic resonances have been observed.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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