Abstract
A numerical study of an application of magnetorheological (MR) damper for semi-active control is presented in this paper. The damper is mounted in the suspension of a Duffing oscillator with an attached pendulum. The MR damper with properties modelled by a hysteretic loop, is applied in order to control of the system response. Two methods for the dynamics control in the closed-loop algorithm based on the amplitude and velocity of the pendulum and the impulse on–off activation of MR damper are proposed. These concepts allow the system maintaining on a desirable attractor or, if necessary, to change a position from one attractor to another. Additionally, the detailed bifurcation analysis of the influence of MR damping on the number of periodic solutions and their stability is shown by continuation method. The influence of MR damping on the chaotic behavior is studied, as well.
Highlights
Pendulum-like systems are commonly used in many practical applications, including special dynamical dampers or energy harvesters [1]
The MR damper with properties modelled by a hysteretic loop, is applied in order to control of the system response
New value of U gives possibility to change damping to a3 = 0.05, because u \ 0 in time window s 2 hsi; si þ 50i: Analyzing the results presented in Figs. 10 and 11, we may conclude that the pendulum swings can be controlled by application of a simple control algorithm based on amplitude of the pendulum response
Summary
Pendulum-like systems are commonly used in many practical applications, including special dynamical dampers or energy harvesters [1]. Dynamics of such systems can exhibit extremely complex behaviour. The small perturbation of initial conditions or systems parameters may transit the response to dangerous motion, like a full rotation of the pendulum or chaotic motion [3]. This problem is essential if the pendulum plays role of a dynamical vibration absorber or the energy harvesting device [4]. We show, that MR damping practically does not reduce the vibration suppression effect and MR damping can cause a shift of chaotic regions
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
