A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force

Hosen, Md. Alal and Chowdhury, Md. Sazzad Hossien (2015) A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force. Results in Physics, 5. pp. 111-114. ISSN 2211-3797

PDF - Published Version Restricted to Repository staff only Download (293kB) | Request a copy

Abstract

In the present paper, a complicated strongly nonlinear oscillator with cubic and harmonic restoring force, has been analysed and solved completely by harmonic balance method (HBM). Investigating analytically such kinds of oscillator is very difficult task and cumbersome. In this study, the offered technique gives desired results and to avoid numerical complexity. An excellent agreement was found between approximate and numerical solutions, which prove that HBM is very efficient and produces high accuracy results. It is remarkably important that, second-order approximate results are almost same with exact solutions. The advantage of this method is its simple procedure and applicable for many other oscillatory problems arising in science and engineering.

Item Type:	Article (Journal)
Additional Information:	5807/44790
Uncontrolled Keywords:	Analytical technique, Strongly nonlinear oscillator, Approximate solutions, Harmonic balance method, Power series solution
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	22 Sep 2015 10:56
Last Modified:	21 Feb 2018 16:44
URI:	http://irep.iium.edu.my/id/eprint/44790

Actions (login required)

View Item