A simple cubication method for approximate solution of nonlinear Hamiltonian oscillators-Reference-Cited by-同舟云学术

A simple cubication method for approximate solution of nonlinear Hamiltonian oscillators

Published:2019-01-15 Issue:3 Volume:48 Page:241-254
ISSN:0306-4190
Container-title:International Journal of Mechanical Engineering Education
language:en
Short-container-title:International Journal of Mechanical Engineering Education

Author:

Big-Alabo Akuro¹^ORCID

Affiliation:

1. Department of Mechanical Engineering, Faculty of Engineering, University of Port Harcourt, Port Harcourt, Nigeria

Abstract

A new cubication method is proposed for periodic solution of nonlinear Hamiltonian oscillators. The method is formulated based on quasi-static equilibrium of the original oscillator and the undamped cubic Duffing oscillator. The cubication constants derived from the present cubication method are always based on elementary functions and are simpler than the constants derived by other cubication methods. The present method was verified using three common examples of strongly nonlinear oscillators and was found to give reasonably accurate results. The method can be used to introduce nonlinear oscillators in relevant undergraduate physics and mechanics courses.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Education

Link

http://journals.sagepub.com/doi/pdf/10.1177/0306419018822489

Reference13 articles.

1. Cubication of conservative nonlinear oscillators

2. Effect Of Drill String Rotation On The Dynamic Response Of Drilling Risers

3. Nonlinear free vibrations of marine risers/pipes transporting fluid

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