Combined  resonance  and vibration reduction of non linear dynamical system subject to tuned excitation

Y. A. Amer; M. N. Abd Eslam

doi:10.24297/jam.v9i1.2526

Combined resonance and vibration reduction of non linear dynamical system subject to tuned excitation

Authors

Y. A. Amer Faculty of Science, Zagazig University
M. N. Abd Eslam Higher Technological Institute, 10th of Ramadan City

DOI:

https://doi.org/10.24297/jam.v9i1.2526

Keywords:

vibration control, tuned excitation force, phase plane, frequency response curves.

Abstract

The non-linear dynamical system subject to tuned excitation is consider, and studied . The system is represented by two degree of freedom differential equations of the system and absorber. The method of multiple scale is applied to solve the system up to 3^rd order approximation. Effect of different parameters is studied numerically all resonance cases are studied numerically to obtain the worst case . Stability of the system is investigated using both phase plane and frequency response curves.

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Author Biographies

Y. A. Amer, Faculty of Science, Zagazig University

Department of Mathematics

M. N. Abd Eslam, Higher Technological Institute, 10th of Ramadan City

Department of Basic Science

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Published

2014-06-12

How to Cite

Amer, Y. A., & Eslam, M. N. A. (2014). Combined resonance and vibration reduction of non linear dynamical system subject to tuned excitation. JOURNAL OF ADVANCES IN MATHEMATICS, 9(1), 1774–1786. https://doi.org/10.24297/jam.v9i1.2526