Active,Shunted,and Passive Constrained Layer Damping for the Vibration Suppression of a Flexible Four-Bar Mechanism

Abstract

Vibration suppression of a flexible four-bar mechanism is investigated. A generic four-bar mecha nism, with flexible coupler, is considered for the investigation. Passive, shunted, and active constrained layer damping techniques are adopted for the vibration suppression. The equations of motion are developed using the assumed mode method and the constrained Lagrange's equations and are manipulated and solved using Maple and Matlab. Two types of responses are investigated: the free decay response due to an initial midpoint deflection of the flexible coupler and the forced transient response due to an applied crank step torque. Effects of the application of passive, shunted, and active constrained layer damping on the responses are discussed.

Keywords

Four-bar mechanism active shunted and passive constrained layer damping rigid and flexible modes coupling nonlinear vibration transient vibration

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References

Austin, E.M. and Inman, D.J. , 1999, "Some pitfalls of simplified modeling for viscoelastic sandwich beams," ASME Journal of Vibration and Acoustics, in review.

Baz, A. , 1993, "Active constrained layer damping," in Proceedings of Damping '93 3, pp. IBB1-23.

Baz, A. and Ro, J. , 1995, "Performance characteristics of active constrained layer damping," Shock and Vibration 2, 33-42.

Christensen, R.M. , 1982, Theory of Viscoelasticity: An Introduction , Academic Press, New York.

Ghoneim, H. , 1993, "Electromechanical surface damping using constrained layer and shunted piezoelectric," in SPIE Proceedings, Smart Structures and Materials 1919 , pp. 78-89.

Ghoneim, H. , 1996, "Application of the electromechanical surface damping to the vibration control of a cantilever plate," ASME Journal of Vibration and Acoustics 118 , 551-557.

Ghoneim, H. and Hieber, C.A. , 1996, "Volume-relaxation effect on the thermal-residual stresses in an injection-molded strip," Journal of Thermal Stresses 19, 795-808.

Hagood, N.W. and Flotow, A.V. , 1991, "Damping of structural vibrations with piezoelectric materials and passive electrical networks," Journal of Sound and Vibration 146, 243-268.

Johnson, A.R. , 1999, "Modeling viscoelastic materials using internal variables ," The Shock and Vibration Digest 31, 19-100.

10.

Karkoub, M. and Yigit, A.S. , 1999, "Vibration control of a four-bar mechanism with flexible coupler link," Journal of Sound and Vibration 222, 171-189.

11.

Lesieutre, G.A. , 1998, "Vibration damping and control using shunted piezoelectric materials," The Shock and Vibration Digest 30, 187-195.

12.

Liao, W.H. , Chou, J.H. , and Horng, I.R. , 1997, "Robust vibration control of flexible linkage mechanisms using piezoelectric films," Smart Materials and Structures 6, 457-463.

13.

McTavish, D.J. and Hughes, P.C. , 1993, "Modeling of viscoelastic space structure," ASME Journal of Vibration and Acoustics 115, 103-110.

14.

Nashif, A.D. , Jones, D.I.G. , and Henderson, J.P. , 1985, Vibration Damping, John Wiley , New York.

15.

Orsag, R. and Ghoneim, H. , 1999, "Experimental investigation of electromechanical surface damping," in SPIE Proceedings, Smart Structures and Materials 3672, pp. 234-241.

16.

Sannah, M. and Smaili, A. , 1998, "Active control of elastodynamic vibrations of a 4-bar mechanism system with a smart coupler link using optimal multivariable control: Experimental implementation," ASMEJournal of Mechanical Design 120, 316-326.

17.

Shen, I.Y. , 1994, "Hybrid damping through intelligent constrained layer treatments," ASME Journal of Vibration and Acoustics 116, 341-349.

18.

Sung, C.K. and Chen, Y.C. , 1991, "Vibration control of the elastodynamic response of high-speed flexible linkage mechanism," ASME Journal of Vibration and Acoustics 113 , 14-21.