Abstract
A method for verification of subharmonic oscillation stability in nonlinear systems with a polynomial type of nonlinearity is proposed. The main harmonic and the subharmonic are represented in the exponential form and substituted into the system differential equation. Amplitudes of both harmonics are perturbed, and the subharmonic amplitude perturbation operator equation is obtained. Then, only the terms representing the first order derivatives are retained. The real and imaginary parts of the operator equation are separated to give the system of two linear differential equations for the components of subharmonic amplitude perturbation. The perturbations of the main harmonic are eliminated using the main harmonic equation. Then the characteristic equation of this system is used for verification of the subharmonic stability.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
