Vibration reduction of a nonlinear spring pendulum under multi external and parametric excitations via a longitudinal absorber |
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Authors: | M Eissa M Kamel A T El-Sayed |
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Institution: | 1.Department of Engineering Mathematics, Faculty of Electronic Engineering Menouf,Menoufia University,Menouf,Egypt;2.Department of Basic Sciences,Modern Academy for Engineering and Technology,Maadi,Egypt |
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Abstract: | The vibration of a ship pitch-roll motion described by a non-linear spring pendulum system (two degrees of freedom) subjected
to multi external and parametric excitations can be reduced using a longitudinal absorber. The method of multiple scale perturbation
technique (MSPT) is applied to analyze the response of this system near the simultaneous primary, sub-harmonic and internal
resonance. The steady state solution near this resonance case is determined and studied applying Lyapunov’s first method.
The stability of the system is investigated using frequency response equations. Numerical simulations are extensive investigations
to illustrate the effects of the absorber and some system parameters at selected values on the vibrating system. The simulation
results are achieved using MATLAB 7.0 programs. Results are compared to previously published work. |
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Keywords: | |
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