فهرست مقالات Chaotic vibration

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  1 - Analysis and Control of Chaos in Nonlinear Gear System using Predictive Sliding Mode Control
  Nima Valadbeigi Seyed Mahdi Abtahi
  10.30486/admt.2022.1949735.1333
  This paper presents a control system for elimination of chaotic behaviors in spur gear system. To this end, at first different aspects of chaos are investigated by means of numerical tools including time series response, phase plane trajectories, bifurcation diagram, Po چکیده کامل

  This paper presents a control system for elimination of chaotic behaviors in spur gear system. To this end, at first different aspects of chaos are investigated by means of numerical tools including time series response, phase plane trajectories, bifurcation diagram, Poincare’ section, Lyapunov exponent and power spectrum density. The nonlinear dynamic model encompasses constant mesh stiffness and damping along the line of action, static transmission error and backlash. In order to suppress the chaotic oscillations, a novel controller on the basis of the Predictive Sliding Mode Control (PSMC) is proposed in which the sliding surface is predicted by the use of model predictive control theory and the control input is obtained. Consequently, the control system takes advantage of the both approaches in developing a robust controller. The simulation results of the feedback system depict the effectiveness of the controller in elimination of the chaotic vibrations along with reduction of settling time, overshoots, and energy consumption. Furthermore, stability and robustness of the system are guaranteed. پرونده مقاله
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  2 - Analysis of chaotic vibration in a hexagonal centrifugal governor system
  مصطفی غیور سعید ضیایی راد حبیب رمضان نژاد آزاربنی
  In this paper, the periodic, quasi periodic and chaotic responses of rotational machines with a hexagonal centrifugal governor are studied. The external disturbance is assumed as a sinusoid effect. By using the forth order Rung-Kutta numerical integration method, bifurc چکیده کامل

  In this paper, the periodic, quasi periodic and chaotic responses of rotational machines with a hexagonal centrifugal governor are studied. The external disturbance is assumed as a sinusoid effect. By using the forth order Rung-Kutta numerical integration method, bifurcation diagram, largest Lyapunov exponent and Lyapunov dimension are calculated and presented to detect the critical controlling parameter. Having known the critical values, phase portrait, Poincare maps, time history and power spectrum are presented to observe periodic, quasi-periodic and chaotic behaviors of the system. Finally, the system damping is used as a parameter to control chaos. It is shown that by increasing the system damping, the chaotic behavior of the system converts to a periodic motion. پرونده مقاله