Oscillator with a pendulum-rotator: stationary synchronous regimes, stability, vibration mitigation

摘要

Investigation of dynamics of an oscillatory system with a pendulum-rotator excited by a vibrating foundation is presented. A refined analytical solution in the first and second approximation is obtained for steady-state regimes with synchronous oscillation-rotation. This solution, which is confirmed by results of the numerical simulation with very high accuracy, enables us to construct the region of existence and stability of these regimes and to evaluate the possibility of using pendulums-rotators as oscillation absorbers.