Coupled nonlinear oscillators: metamorphoses of amplitude profiles for the approximate effective equation - the case of 1:3 resonance
arXiv:1111.4700 · doi:10.5506/APhysPolB.43.1275
Abstract
We study dynamics of two coupled periodically driven oscillators. An important example of such a system is a dynamic vibration absorber which consists of a small mass attached to the primary vibrating system of a large mass. Periodic solutions of the approximate effective equation (derived in our earlier papers) are determined within the Krylov-Bogoliubov-Mitropolsky approach to compute the amplitude profiles . In the present paper we investigate metamorphoses of the function induced by changes of the control parameters in the case of 1:3 resonances.
10 pages, 5 figures, introductory material written anew