Mathematical model and dynamic analysis of pendulum system excitation via an electro-dynamical shaker

Abstract

In this paper, we present a mathematical model and numerical investigations of a pendulum system excited by an EDS (Electro-Dynamical Shaker). The dynamic analysis is considered by the history of the time, phase plane, Poincaré map, bifurcation diagram, FFT, and Lyapunov Exponent. Numerical simulations demonstrate that the model has quasi-periodic or periodic behavior for a certain range of parameters