scholarly journals From a chain of nonlinear oscillators to nonlinear longitudinal vibrations of an elastic bar: the case of pure nonlinearity

2017 ◽  
Vol 199 ◽  
pp. 687-692 ◽  
Author(s):  
Ivana Kovacic ◽  
Miodrag Zukovic
Keyword(s):  
Nonlinear Oscillators ◽  
Longitudinal Vibrations ◽  
Elastic Bar ◽  
A Chain

Semi-Discrete Analytical Solution of Lumped Mass Finite Element Method for the Longitudinal Vibrations of an Elastic Bar

2013 ◽  
Vol 273 ◽  
pp. 234-239
Author(s):  
Jing Song Pan ◽  
Ji Chan Wang
Keyword(s):  
Finite Element Method ◽  
Exact Solution ◽  
Finite Element ◽  
Analytical Solution ◽  
Longitudinal Vibration ◽  
Analytical Approximation ◽  
Longitudinal Vibrations ◽  
Lumped Mass ◽  
Elastic Bar ◽  
Element Method

The objective of this paper is to present semi-discrete analytical method for the longitudinal vibration of an elastic bar. Using lumped mass finite element method, we first obtain a system of second order ordinary differential equations. In terms of some transform technique we obtain the exact solution to the system, i.e. excellently semi-discrete analytical approximation to the longitudinal vibration. An example is given to illustrate the effectiveness of the proposed method.

NERVE PULSE PROPAGATION IN A CHAIN OF FHN NONLINEAR OSCILLATORS

2008 ◽  
Author(s):  
T. Bountis ◽  
H. Christodoulidi ◽  
S. Anastassiou ◽  
Marko Robnik ◽  
Valery Romanovski
Keyword(s):  
Pulse Propagation ◽  
Nonlinear Oscillators ◽  
A Chain ◽  
Nerve Pulse

scholarly journals Fast and slow dynamics in a nonlinear elastic bar excited by longitudinal vibrations

Wave Motion ◽  
2015 ◽  
Vol 56 ◽  
pp. 221-238 ◽  
Author(s):  
Nicolas Favrie ◽  
Bruno Lombard ◽  
Cédric Payan
Keyword(s):  
Slow Dynamics ◽  
Longitudinal Vibrations ◽  
Elastic Bar ◽  
Nonlinear Elastic
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