MATEC Web Conf.
Volume 145, 2018NCTAM 2017 – 13th National Congress on Theoretical and Applied Mechanics
|Number of page(s)||10|
|Published online||09 January 2018|
Dynamical behaviour of a compound elastic pendulum
Institute of Mechanics-BAS, Biomechanics Department, Acad. G. Bonchev Str., Bl. 4, 1113 Sofia, Bulgaria
2 University of Transport, Mechanics Department, G. Milev Str. 158, 1574 Sofia, Bulgaria
* Corresponding author: S.Nikolov@imbm.bas.bg
The aim of the paper is a comprehensive study of the compound elastic pendulum (CEP) with two degrees of freedom to point out the main complex (chaotic) dynamics that it can exhibit. The simplest way to find complex behavior in a nonintegrable Hamiltonian system is firstly to look for homoclinic (heteroclinic) orbit(s). Here, under suitable assumptions, we detect the existence of a homoclinic orbit of CEP and present the equation for it. Moreover, we show that for any value of the small parameter the system has a hyperbolic periodic orbit, whose invariant manifolds intersect themselves transversally.
© 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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