Resumo

AMER, Y. A.; ABD EL-SALAM, M. N.  e  EL-SAYED, M. A.. Behavior of a Hybrid Rayleigh-Van der Pol- Duffing Oscillator with a PD Controller. J. appl. res. technol [online]. 2022, vol.20, n.1, pp.58-67.  Epub 30-Maio-2022. ISSN 2448-6736.  https://doi.org/10.22201/icat.24486736e.2022.20.1.1412.

In our consideration, we studied vibrations analysis and dynamic responses of a Hybrid Rayleigh-Van der Pol- Duffing oscillator. This system presented by one -degree- of - freedom containing the fifth order of nonlinear terms and an external force. The proportional derivative controller (PD) was used to control the vibration of the main system. The average method used to obtain the approximate solution of the vibrating system. The stability of the system is investigated at the primary resonance case (Ω = ω). Numerically, we used Runge-Kutta of the fourth order to scrutinize the time histories of the system before and after using PD. For response curves, we investigated the performance of some chosen parameters of studied system. Finally, there is a good agreement between the approximate solution which obtained from the average method and the numerical one.

Palavras-chave : Average method; Proportional derivative controller; Primary resonance; Stability; Fixed point.

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