Approximate Solutions of the Jet Engine Vibration Equation by the Homotopy Perturbation Method

Abstract

In this paper, we consider the jet engine vibration system. With the help of the homotopy perturbation method (HPM), we solve the jet engine vibration (JEV) equation, which is a second-order nonlinear differential equation in the presence of damping and external forces. We compare the results with the corresponding numerical method to show the efficiency and reliability of this method. The findings demonstrate how well HPM works as a solution to these concerns, and it is anticipated that HPM will be used in a variety of new problems.

Analyzing nonlinear oscillations with He's frequency-amplitude method and numerical comparison in jet engine vibration system

“…In this study, we utilized the HFAM to address the problem of jet engine vibration. Recently, Kawser et al [ 25 ] employed the HPM to successfully address the problem. They derived solutions for specific numeric values of the parameters of the equation.…”