Abstract
In this paper, the stability behavior of an axially moving string is examined in the presence of parametric and combination resonances. The Galerkin discretization utilizing stationary string eigenfunctions is used to transform the partial differential equation governing transverse response into a set of coupled ordinary differential equations. Hamiltonian formulation and averaging method are used to yield a set of autonomous equations. The conditions of parametric and summed resonances are obtained over specific ranges between the natural and exciting frequencies. Explicit results of the stability boundaries for the first and secondary principal parametric and the first summation resonances and the bifurcation paths of the nontrivial amplitudes are obtained.
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.
