Abstract
Nonlinear Dynamics of a Non-ideal Autoparametric System with MR Damper
Highlights
This work is about nonlinear dynamics of a three degree of freedom system with double pendulum suspended on flexible element with linear spring and semiactive magnetorheological damper (MR) and the excitation comes from a DC motor with limited power supplied
I announced that the ideal and non-ideal autoparametric system with one pendulum excited by DC motor with unbalanced mass was studied by Sado and Kot [7, 8], and with two pendulums connected by SMA spring and with viscotic dampers was presented by Sado et al [9]
The present paper shows that in this type of non-ideal system one mode of vibrations, may excite or damp another mode, and near the resonance regions except multiperiodic and quasiperiodic vibrations, chaotic motion there may appear
Summary
This work is about nonlinear dynamics of a three degree of freedom system with double pendulum suspended on flexible element with linear spring and semiactive magnetorheological damper (MR) and the excitation comes from a DC motor with limited power supplied (non-ideal system). This system with viscotic damper and harmonic excitation was studied by Sado and Gajos in previous works [6]. The presented paper is organized as follows: Section 2 contains a description of the mathematical model of the double pendulum coupled with non-ideal excited oscillator with MR damper, and Section 3 presents exemplary numerical results of this system near internal and external resonance region
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