Global Residue Harmonic Balance Method for a System of Strongly Nonlinear Oscillator. (9th September 2021)

• Record Type: Journal Article
• Authors: Chen, Huaxiong; Liu, Wei
• Other Names: Arif Muhammad Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2021(2021)
• Publication Date: 2021-09-09
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2021/6641742
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In this paper, the global residue harmonic balance method is applied to obtain the approximate periodic solution and frequency for a well-known system of strongly nonlinear oscillator in engineering. This method can improve accuracy by considering all the residual errors in deriving each order approximation. With this procedure, the expressions of the higher-order approximate solution and corresponding frequency for the considered system can be determined easily. The comparison of the obtained results with previously existing and corresponding exact solutions shows the high accuracy and efficiency of the method.