Abstract
It is shown that oscillations of a broad class of mechanical systems are governed by a differential equation of the form q ̈ + p 2q(1 + aq 2 + bq 2) = Ω 2 cos ωt which includes the Duffing equation as a special case. A first integral of this equation, for Ω = 0, is used to explore the relationship between the amplitude and the period of free vibrations, and forced oscillations are discussed by reference to response curves obtained by the method of Kryloff and Bogoliuboff.
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.
