Dynamical properties of a nonautonomous double pendulum model

Abstract

This researchwasmotivated by a real technological problem of vibrations of bodies hanging on chains or ropes in tubes or spaces limited bywalls or other bodies. The studied system has two degrees of freedom. It is formed by two pendulums moving between two walls. Its movement is governed by a set of nonlinear ordinary differential equations. The results of the simulations shown that the system exhibits regular and chaotic movement. The simulations were performed for 3 excitation amplitudes and the range of the excitation frequencies between 1 and 30 rad s(-1). The subject of the investigations was the determination of the character of the pendulums' motions and identification of their collisions with the sided walls.