Dynamical analysis of a vertical excited pendulum using He’s perturbation method-Reference-Cited by-同舟云学术

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

Published:2023-05-16 Issue:3 Volume:42 Page:1328-1338
ISSN:1461-3484
Container-title:Journal of Low Frequency Noise, Vibration and Active Control
language:en
Short-container-title:Journal of Low Frequency Noise, Vibration and Active Control

Author:

Galal Abdallah A¹^ORCID,Amer TS²^ORCID,Amer Wael S³^ORCID,Elkafly Heba Ali⁴

Affiliation:

1. Engineering Physics and Mathematics Department, Faculty of Engineering, Tanta University, Tanta, Egypt

2. Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt

3. Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shibin Al Kawm, Egypt

4. Tanta Higher Institute of Engineering and Technology, Tanta, Egypt

Abstract

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.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Geophysics,Mechanics of Materials,Acoustics and Ultrasonics,Building and Construction,Civil and Structural Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/14613484231176247

Reference38 articles.

1. The Pendulum

2. On the motion of a triple pendulum system under the influence of excitation force and torque

3. Free Rotation of a Rigid Mass Carrying a Rotor with an Internal Torque

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