Spring Pendulum: A Nonlinear Paradigm

20 Pages Posted: 8 Jan 2019

Date Written: October 6, 2018

Abstract

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

Chandra, Monica, Spring Pendulum: A Nonlinear Paradigm (October 6, 2018). Available at SSRN: https://ssrn.com/abstract=3306010 or http://dx.doi.org/10.2139/ssrn.3306010

Monica Chandra (Contact Author)

Symantix ( email )

33257 Palomino Cmn
Fremont, CA 94555
United States
5103663047 (Phone)

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