Abstract
In this paper, a new approach called the global residue harmonic balance technique is applied to construct analytical solutions for nonlinear oscillators that appear in cylindrical shells. Periodic solution is analytically proved, and consequently, the relation between amplitude and frequency is obtained in an analytical form. Numerical and analytical comparisons with the Runge–Kutta method and previously existing homotopy perturbation method (HPM) are given, to show the stability, quality, and efficiency of the present approach. The GRHBM provides an outstanding agreement with the numerical results for different amplitude values, leading to sufficiently accurate solutions for nonlinear oscillators.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Low Frequency Noise, Vibration and Active Control
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
