Suppression of the vibrations of a harmonically excited nonlinear shaker by using a passive vibration absorber | ||||
| Menoufia Journal of Electronic Engineering Research | ||||
| Article 15, Volume 26, Issue 1, January 2017, Page 247-270 | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/mjeer.2017.63484 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| Hassan M. Abdelhafez; Magdy M. Kamel; Mohamed E. Nassar | ||||
| Dept. of Physics and Engineering Mathematics, Faculty of Elect., Engineering, Menoufia University | ||||
| 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 | ||||
| References | ||||
|
[1] J. P. Den Hartog, Mechanical Vibrations, McGraw-Hill, New York, 1934 (reprinted by Dover, 1985). [2] M. J. Brennan, Vibration control using a tunable vibration neutralizer, proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 211 (1997) 91-108. [3] P. Bonello, M. J. Brennan, S. J. Elliott, Vibration control using an adaptive tuned vibration absorber with a variable curvature stiffness element, Smart Materials and Structures, 14 (2005)1055-1065. h: 0px; "> [4] N. Jalili, E. Esmailzadeh, A nonlinear double-winged adaptive neutralizer for optimum structural vibration suppression, Communications in Nonlinear Science and Numerical Simulation, 8 (2003)113-134. [5] [5] J. C. Snowdon, Plate like dynamic absorbers, Transactions of ASME Series B: Journal of Engineering for Industry, 97 (1975) 88-93. [6] A. Arpaci, Annular plate dampers attached to continuous systems, Journal of Sound and Vibration 191 (1996) 781-793. [7] M. J. Brennan, Some recent developments in adaptive tuned vibration absorbers/neutralizers, Shock and Vibration, 13 (2006) 531-543. [8] J. Q. Sun, M. R. Jolly, Passive, adaptive and active tuned vibration absorbers, Transaction of the ASME, Journal of Mechanical Design, 117 (1995) 234-242. [9] Nicholas A. Alexander, Frank Schilder, Exploring the performance of a nonlinear tuned mass damper, Journal of Sound and Vibration, 319 (2009) 445–462. [10] M. J. Brennan, P. Bonello, E. Rustighi, B. R. Mace and S. J. Elliott, Designs of variable stiffness element for a tunable vibration absorber, ICA, 5 (2004) 2915-2918. [11] M. J. Brennan and J. Dayou, Global control of vibration using a tunable vibration neutralizer, J. of Sound and vibration, 232 (3) (2000) 585-600. [12] Y. Starosvetsky and O.V. Gendelman, Response regimes of linear oscillator coupled to nonlinear energy sink with harmonic forcing and frequency detuning, Journal of Sound and Vibration, 315 (2008) 746–765. [13] Y. Starosvetsky and O.V. Gendelman, Dynamics of a strongly nonlinear vibration absorber coupled to a harmonically excited two-degree-of-freedom system, Journal of Sound and Vibration, 312 (2008) 234–256. [14] [14] Y. Starosvetsky and O.V. Gendelman, Vibration absorption in systems with a nonlinear energy sink: Nonlinear damping, Journal of Sound and Vibration, 324 (2009) 916–939. [15] W. A. El-Ganaini, N. A. Saeed and M. Eissa, Positive position feedback (PPF) controller for suppression of nonlinear system vibration, Nonlinear Dyn, 72 (2013) 517–537. [16] G. Gatti, M. J. Brennan, I. Kovacic, On the interaction of the responses at the resonance frequencies of a nonlinear two degrees-of-freedom system, Physica D, 239 (2010) 591-599. [17] Michael J. Brennan, Gianluca Gatti, The characteristics of a nonlinear vibration neutralizer, Journal of Sound and Vibration, 331 (2012) 3158- 3171. [18] Gianluca Gatti, Stefano Marchesiello, Michael J. Brennan, A virtual experiment for the detection of specific features in the frequency response of a coupled nonlinear and linear oscillator, Proceedings of the 9th International Conference on Structural Dynamics, Eurodyn 2014. [19] A. H. Nayfeh, D. T. Mook, Nonlinear Oscillations, New York, Wiley, 1979. | ||||
|
Statistics Article View: 102 |
||||
