Accurate analytical solution of the circular sector oscillation by the modified harmonic balance method. Issue 4 (December 2022)

• Record Type: Journal Article
• Authors: Farea, Nadia M; Zayed, Mohra; Ismail, Gamal M
• Is Part Of: Journal of low frequency noise, vibration, and active control. Volume 41:Issue 4(2022)
• Page Start: 1446
• Page End: 1453
• Publication Date: 2022-12
• Subjects: modified harmonic balance method -- circular sector oscillator -- nonlinear equation -- analytical solutions; Vibration -- Periodicals; Noise -- Periodicals; Sound -- Periodicals; Damping (Mechanics) -- Periodicals; Damping (Mechanics); Noise; Sound; Vibration; Periodicals; 620.205
• DOI: 10.1177/14613484221104646
• Languages: English
• ISSNs: 1461-3484

Abstract

This paper aims to solve the nonlinear differential equation of the circular sector oscillator analytically via the modified harmonic balance method (MHBM). To assess the reliability and the precision of the present method, we have compared the obtained results with the global residue harmonic balance method, Akbari–Ganji's method, and numerical Runge–Kutta method which reveals that the MHBM is more reliable than others methods.