In the present work, we deal with a dynamical analysis and passive control of chaos with magnetic rheological (MR) rotational damper in a pendulum driven by a DC motor via slider mechanism. A mathematical model for electromechanical system composed of a pendulum driven horizontally by through a DC motor and a slider-crank mechanism is presented and the parameters are estimated based on experimental data. Numerical and experimental results demonstrate that for certain values of the motor input voltage they can lead the system to chaotic behavior. For dynamic analysis, bifurcation diagrams, Poincaré sections, phase diagrams and 0–1 test are considered. In order to suppress the chaotic behavior, it is proposed to include MR rotational damper, as a passive control. In the case of the passive rotational MR damper, the influence of the introduction of the MR damper in a pendulum is performed considering the bifurcation diagrams. The numerical results show that the introduction of a passive rotational MR damper suppresses the chaotic behavior of the system. Additionally it is shown that it is possible to keep the pendulum oscillating with periodic behavior using the rotational MR damper with energizing discontinuity.

在目前的工作中，我们在由直流电机通过滑块机构驱动的钟摆中使用磁流变 (MR) 旋转阻尼器处理混沌的动力学分析和被动控制。提出了由直流电机水平驱动的摆锤和曲柄滑块机构组成的机电系统数学模型，并根据实验数据对参数进行了估计。数值和实验结果表明，对于特定的电机输入电压值，它们会导致系统出现混乱行为。对于动态分析，考虑了分叉图、庞加莱截面、相图和 0-1 测试。为了抑制混沌行为，建议包括 MR 旋转阻尼器，作为被动控制。在被动旋转 MR 阻尼器的情况下，考虑到分岔图，在摆中引入 MR 阻尼器的影响进行了分析。数值结果表明，被动旋转磁​​流变阻尼器的引入抑制了系统的混沌行为。此外还表明，使用具有激励不连续性的旋转 MR 阻尼器可以保持摆锤以周期性行为振荡。