Suppression of the vibrations of a harmonically excited nonlinear shaker by using a passive vibration absorber

Abdelhafez, Hassan M.; Kamel, Magdy M.; Nassar, Mohamed E.

doi:10.21608/mjeer.2017.63484

Suppression of the vibrations of a harmonically excited nonlinear shaker by using a passive vibration absorber

Document Type : Original Article

Authors

Dept. of Physics and Engineering Mathematics, Faculty of Elect., Engineering, Menoufia University

10.21608/mjeer.2017.63484

Abstract

; "> In this work, a passive vibration absorber is used to control the vibrations of a harmonically excited nonlinear shakerwhich emulates a machine. A linear and nonlinear vibration absorberswere considered to suppress the primary resonancevibrations of the shaker in presence ofone to one internal resonance and a comparison between the results of two cases was obtained.The multiple time scales perturbation MTSP techniquewas used to analyze the system and to obtain a first order approximate solution of the closed loop system in presence of one to one internal resonance. In addition,the stability of the systemwas studied using frequency response equations,the
effect of absorber’s parameters on system performanceis discussed to choose the optimal absorber parameters for vibration control process.We also discussed the role of cubic
nonlinearity in vibration absorber in suppression of shaker’s vibrations when frequency of the harmonic excitation is well above the resonance frequency of the shaker. All analytical results are validated using numerical solution and the results are convincing. Finally we deduced the best cases for using linear vibration absorber and the best cases for using nonlinear

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