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agwa, M., EL-Sayed, A., Amer, Y. (2025). Vibrations control of two degree of freedoms system subject to external force using passive and time delay controllers. Bulletin of Faculty of Science, Zagazig University, 2025(2), 77-94. doi: 10.21608/bfszu.2024.309497.1418
mai mahmoud agwa; A.T. EL-Sayed; Yasser Abedelaziz Amer. "Vibrations control of two degree of freedoms system subject to external force using passive and time delay controllers". Bulletin of Faculty of Science, Zagazig University, 2025, 2, 2025, 77-94. doi: 10.21608/bfszu.2024.309497.1418
agwa, M., EL-Sayed, A., Amer, Y. (2025). 'Vibrations control of two degree of freedoms system subject to external force using passive and time delay controllers', Bulletin of Faculty of Science, Zagazig University, 2025(2), pp. 77-94. doi: 10.21608/bfszu.2024.309497.1418
agwa, M., EL-Sayed, A., Amer, Y. Vibrations control of two degree of freedoms system subject to external force using passive and time delay controllers. Bulletin of Faculty of Science, Zagazig University, 2025; 2025(2): 77-94. doi: 10.21608/bfszu.2024.309497.1418

Vibrations control of two degree of freedoms system subject to external force using passive and time delay controllers

Article 7, Volume 2025, Issue 2, June 2025, Page 77-94  XML PDF (1.74 MB)
Document Type: Original Article
DOI: 10.21608/bfszu.2024.309497.1418
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Authors
mai mahmoud agwa email 1; A.T. EL-Sayed2; Yasser Abedelaziz Amer3
1faculty of science ,department of mathematics
2Basic sciences department, Modern Academy
3Mathematics department, Faculty of Science, Zagazig University
Abstract
the main objective of this paper is to fine analytical and numerical study to consider the effects of time-delayed velocity feedback on a passive control of linear mass spring damper system subject to harmonic external force. The first order approximate solution is applying the multiple scales perturbation technique (MSPT) to analyze the nonlinear behavior of this model. Studying the stability of the obtained numerical solution is investigated by using the phase plane methods and the frequency response equation in conjunction with the resonance cases ( ). We find that, adding the absorber minimizes amplitude of vibration in case of the steady-state, so we can control the effective stiffness associated to the passive absorber. The problem has been solved by using the runge-kutta method. Effects of different parameters on the system behavior are studied numerically by using MATLAB program. Finally, a comparison of previously published work is done at the end of this work.
Keywords
time-delay; Multiple times scale; Vibration control; external force; Passive control
Main Subjects
Basic and applied research of Geology
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