Optimal Parameters of Linear Dynamic Vibration Absorber for Reduction of Torsional Vibration
Main Article Content
Abstract
This paper presents three analytical methods to determine optimal parameters of the passive mass-spring-disc dynamic vibration absorber (DVA), such as the ratio between natural frequency of DVA and shaft, damping ratio of DVA. The original model presented by Den Hartog, Luft and Warburton are solved and has shown in good agreement. Three analytical methods is then adopted for torsional shaft model. The simulation results indicate that the effectiveness in torsional vibration could be reduced. Finally, the optimal parameters of DVA were applied to decrease the shaft torsional vibration considering the vibration duration and stability criterion.
Keywords
Dynamic vibration absorber, Torsional vibration, Fixed-points theory
Article Details
References
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[2]. Luft, R.W., Optimal Tuned Mass Damper for building. J. Struct. Div., ASCE, 105(12) (1979) 2766-2772.
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[7]. Liu K. and Liu J, The damped dynamic vibration absorber: revisited and new result. Journal of Sound and Vibration 284, 1181-1189, 2005.
[8]. Anh N.D, and Nguyen N.X. Design of TMD for damped linear structures using the dual criterion of equivalent linearization method, International Journal of Mechanical Sciences 77, 164-170, 2013.
[9]. Nagashima I., Optimal displacement feedback control law for active tuned mass damper, Earthquake engineering and structural dynamic, 30: 1221-1242, (2001).
[2]. Luft, R.W., Optimal Tuned Mass Damper for building. J. Struct. Div., ASCE, 105(12) (1979) 2766-2772.
[3]. Warburton G.B., Optimum absorber parameters for various combinations of response and excitation parameters, earthquake Engineering and Structural Dynamics, (1982) 381-401.
[4]. Khang N.V, Engineering Mechanics, Viet Nam Education Publishing House, (2009).
[5]. Brock J.E, A Note on the Damped Vibration Absober, J. Appl. Mech., 13(4). A-284, 1946
[6]. Nishihara O, and Asami T, Close-form solutions to the exact optimizations of dynamic vibration absorber (minimizations of the maximum amplitude manification factors), Journal of Vibration and Acoustics, 124, 576-582, 2002.
[7]. Liu K. and Liu J, The damped dynamic vibration absorber: revisited and new result. Journal of Sound and Vibration 284, 1181-1189, 2005.
[8]. Anh N.D, and Nguyen N.X. Design of TMD for damped linear structures using the dual criterion of equivalent linearization method, International Journal of Mechanical Sciences 77, 164-170, 2013.
[9]. Nagashima I., Optimal displacement feedback control law for active tuned mass damper, Earthquake engineering and structural dynamic, 30: 1221-1242, (2001).