Spring Pendulum: A Nonlinear Paradigm
20 Pages Posted: 8 Jan 2019
Date Written: October 6, 2018
Spring or elastic pendulum serves as a paradigm for the widest range of systems or phenomena. To obtain a better insight, this author has used Newtonian instead of the Lagrangian mechanics. Thus, a system of equations has been derived in the more suitable polar coordinates that describe a rather complex dynamics associated with an elastic pendulum. Numerical solutions have been obtained using MATLAB. This work reveals conditions for different types of resonances and a pattern of energy sharing between the two types of oscillations. The more direct approach adopted here lends itself for an easy adaptations of elastic pendulum as a model for other systems or phenomena.
Keywords: : spring pendulum, nonlinear resonance, coupling, energy distribution, nonlinear systems
JEL Classification: C
Suggested Citation: Suggested Citation