In this paper, a nonideal mechanical system with the LuGre friction damping model is considered. The mechanical model of the system is an oscillator not necessarily linear connected with an unbalanced motor of excitation with limited power supply. The control of motion and the attenuation of the Sommerfeld effect of the considered nonideal system are analyzed in this paper. The mathematical model of the system is represented by coupled nonlinear differential equations. The identification of some interesting nonlinear phenomenon in the transient and steady state motion of the system during the passage through resonance (using applied voltages at dc motor as control parameter) is investigated in detail using numerical simulation.
Issue Section:
Technical Briefs
1.
Kononenko
, V. O.
, 1969, Vibrating Systems With a Limited Power Supply
, Illife Book Ltd.
, London, UK
.2.
Balthazar
, J. M.
, Mook
, D. T.
, Weber
, H. I.
, Brasil
, R. M. L. R. F.
, Fenili
, A.
, Belato
, D.
, and Felix
, J. L. P.
, 2003, “An Overview on Non-Ideal Vibrations
,” Meccanica
0025-6455, 38
(6
), pp. 613
–621
.3.
Canudas de Wit
, C.
, Olsson
, H.
, Astrom
, K. J.
, and Lischinsky
, P.
, 1995, “A New Model for Control of Systems With Friction
,” IEEE Trans. Autom. Control
0018-9286, 40
(3
), pp. 419
–425
.4.
Lian
, K. Y.
, Hung
, C. Y.
, Chiu
, C. S.
, and Liu
, P.
, 2005, “Induction Motor Control With Friction Compensation: An Approach of Virtual-Desired-Variable Synthesis
,” IEEE Trans. Power Electron.
0885-8993, 20
(5
), pp. 1066
–1074
.5.
Hensen
, R. H. A.
, van de Molengraftb
, M. J. G.
, and Steinbuchb
, M.
, 2003, “Friction Induced Hunting Limit Cycles: A Comparison Between the LuGre and Switch Friction Model
,” Automatica
0005-1098, 39
, pp. 2131
–2137
.6.
Chatterjee
, S.
, Singha
, T. K.
, and Karmakar
, S. K.
, 2004, “Effect of High-Frequency Excitation on a Class of Mechanical Systems With Dynamic Friction
,” J. Sound Vib.
0022-460X, 269
, pp. 61
–89
.7.
Pontes
, B. R.
, Oliveira
, V. A.
, and Balthazar
, J. M.
, 2000, “On Friction-Driven Vibrations in a Mass Block-Belt-Motor System With a Limited Power Supply
,” J. Sound Vib.
0022-460X, 234
(4
), pp. 713
–723
.8.
Felix
, J. L. P.
, Balthazar
, J. M.
, and Brasil
, R. M. L. R. F.
, 2005, “On Tuned Liquid Column Dampers Mounted on a Structural Frame Under a Non-Ideal Excitation
,” J. Sound Vib.
0022-460X, 282
, pp. 1285
–1292
.9.
Felix
, J. L. P.
, Balthazar
, J. M.
, and Brasil
, R. M. L. R. F.
, 2005, “On Saturation Control of a Non-Ideal Vibrating Portal Frame Foundation Type Shear-Building
,” J. Vib. Control
1077-5463, 11
, pp. 121
–136
.10.
Felix
, J. L. P.
, and Balthazar
, J. M.
, 2008, “Comments on a Nonlinear and Non-Ideal Electromechanical Damping Vibration Absorber, Sommerfeld Effect and Energy Transfer
,” Nonlinear Dyn.
0924-090X, 55
(1-2
), pp. 1
–11
.Copyright © 2009
by American Society of Mechanical Engineers
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