On chaotic dynamics of a double pendulum arm excited by a nonlinear shaker based rlc circuit

Abstract

The chaotic dynamics of a double pendulum arm coupled to a nonlinear shaker based RLC circuit through a magnetic field is studied numerically. The nonlinear term, in the circuit, is introduced by considering that the voltage of the capacitor is a nonlinear function of the instantaneous electric charge. For the identification of the response of the system various techniques, including chaos techniques as bifurcation diagrams and time histories, power spectral densities (FFT), Poincaré maps and exponents of Lyapunov are used. This electromechanical system will represent a basic subsystem of any robot. Copyright © 2013 by ASME.