Dynamics of a self-sustained electromechanical system with flexible arm and cubic coupling

摘要

This paper studies the dynamics of a self-sustained electromechanical system with nonlinear coupling. The mechanical part is a flexible beam. The Krylov-Bogoliubov averaging method is used to derive oscillatory solutions. Focus is made on the effects of the detuning parameter and nonlinear coupling. The largest Lyapunov exponent is used to determine chaotic domains of the system.