An analytical technique for solving quadratic nonlinear oscillator. Issue 3 (4th October 2017)

• Record Type: Journal Article
• Authors: Molla, Md. Helal Uddin; Razzak, Md. Abdur; Alam, M.S.
• Is Part Of: Multidiscipline modeling in materials and structures. Volume 13:Issue 3(2017)
• Page Start: 424
• Page End: 433
• Publication Date: 2017-10-04
• Subjects: Energy balance method -- Harmonic balance method -- Quadratic nonlinear oscillator; Materials -- Mathematical models -- Periodicals; Engineering -- Mathematical models -- Periodicals; 620.11015118
• DOI: 10.1108/MMMS-02-2017-0008
• Languages: English
• ISSNs: 1573-6105

Abstract

Abstract : Purpose: The purpose of this paper is to present an analytical technique, based on the He's energy balance method (an improved version recently presented by Khan et al. ), to obtain the approximate solution of quadratic nonlinear oscillator (QNO). Design/methodology/approach: This oscillator (QNO) is used as a mathematical model of the human eardrum oscillation. Findings: It has been shown that the results by the present technique are very close to the numerical solution. Originality/value: The results obtained in this paper are compared with those obtained by Hu (harmonic balance method) and Khan et al. The result shows that the method is more accurate and effective than harmonic balance as well as improved energy balance methods.