Dynamical analysis of a vertical excited pendulum using He’s perturbation method

The current paper investigates the nonlinear dynamics of an excited pendulum by a crank-shaft-slider mechanism (CSSM), in which it is restricted to move vertically. He’s method of homotopy is employed to obtain the analytical solution of the governing differential equation. The numerical solution of...

Full description

Saved in:
Bibliographic Details
Published inJournal of low frequency noise, vibration, and active control Vol. 42; no. 3; pp. 1328 - 1338
Main Authors Galal, Abdallah A, Amer, TS, Amer, Wael S, Elkafly, Heba Ali
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.09.2023
Sage Publications Ltd
SAGE Publishing
Subjects
Differential equations
Exact solutions
Graphical representations
Nonlinear dynamics
Pendulums
Perturbation methods
Runge-Kutta method
Nonlinear dynamics
He’s homotopy method
Lagrange’s equations
Online AccessGet full text

Cover

More Information
Summary:The current paper investigates the nonlinear dynamics of an excited pendulum by a crank-shaft-slider mechanism (CSSM), in which it is restricted to move vertically. He’s method of homotopy is employed to obtain the analytical solution of the governing differential equation. The numerical solution of this equation is obtained using the fourth-order Runge-Kutta method (RKM). The comparison between both solutions demonstrates a high level of consistency, which confirms the precision of the gained analytic solution. The graphical representations of these solutions are presented to reveal the influence of various parameters on the investigated motion.
ISSN:1461-3484
2048-4046
DOI:10.1177/14613484231176247