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Position and Velocity Time Delay for Suppression Vibrations of a Hybrid Rayleigh-Van der Pol-Duffing Oscillator |
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| Authors: | Y. A. Amer A. T. El-Sayed M. N. Abd El-Salam |
| Affiliation: | 1 Mathematics Department, Science Faculty, Zagazig University, Zagazig, Egypt2 Basic Sciences Department, Modern Academy for Engineering and Technology, Cairo, Egypt3 Basic Sciences Department, Higher Technological Institute, 10th of Ramadan City, Egypt |
| Abstract: | In this paper, we used time delay feedback to minimize the vibrations ofa hybrid Rayleigh–van der Pol–Duffing oscillator. This system is a one-degree-offreedom containing the cubic and fifth nonlinear terms and an external force. Weapplied the multiple scales method to get the solution from first approximation.Graphically and numerically, we studied the system before and after adding timedelay feedback at the primary resonance case (Ω ≌ ω). We used MATLAB program to simulate the efficacy of different parameters and the time delay on themain system. |
| Keywords: | Position time delay feedback velocity time delay feedback multiple scales method resonance cases |
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