Asymptotic analysis of parametrically excited spring pendulum
[ 1 ] Instytut Mechaniki Stosowanej, Wydział Budowy Maszyn i Zarządzania, Politechnika Poznańska | [ P ] employee
2009
paper
english
- discrete dynamics
- multiple scale method
- parametric resonance
EN The weakly non-linear 2-DOF mechanical system parametrically and externally excited is studied. It may serve as a model for a variety of engineering systems, including ship motions with nonlinear coupling between pitching and wave loadings. The transfer of energy from one to another mode of vibrations is illustrated and analyzed. Multiple scales method application allows reducing the original nonautonomous system to an approximate autonomous system regarding amplitude and phase variables in order to find steady state solutions and verify their stability.
421 - 432