In this article vibration isolators having linear and cubic nonlinearities in stiffness and damping terms are considered under base excitation. The influence of the system parameters on the relative and absolute displacement transmissibility is investigated. The performance characteristics of the nonlinear isolators are evaluated and compared with the performance characteristics of the linear isolators to highlight the beneficial effects in the nonlinear systems considered.
Issue Section:
Technical Briefs
1.
Harris
, C. M.
, and Piersol
, A. G.
, 2002, Shock and Vibration Handbook
, McGraw-Hill
, New York
.2.
Rivin
, E. I.
, 2003, Passive Vibration Isolation
, ASME
, New York
.3.
Crede
, C. E.
, 1995, Vibration and Shock Isolation
, John Wiley
, New York
.4.
Den Hartog
, J. P.
, 1962, Mechanical Vibrations
, McGraw-Hill
, New York
.5.
Snowdon
, J. C.
, 1979, “Vibration Isolation Use and Characterization
,” J. Acoust. Soc. Am.
0001-4966, 66
, pp. 1245
–1279
.6.
Ruzicka
, J. E.
, and Derby
, T. E.
, 1971, Influence of Damping in Vibration Isolation
, T.S.a.V.I. Centre
, Washington, DC
.7.
Thomsen
, J. J.
, 2003, Vibration and Stability: Advanced Theory, Analysis, and Tools
, Springer-Verlag
, Berlin
.8.
Ravindra
, B.
, and Mallik
, A. K.
, 1993, “Hard Duffing-Type Vibration Isolator With Combined Coulomb and Viscous Damping
,” Int. J. Non-Linear Mech.
0020-7462, 28
(4
), pp. 427
–440
.9.
Ravindra
, B.
, and Mallik
, A. K.
, 1994, “Performance of Nonlinear Vibration Isolators Under Harmonic Excitation
,” J. Sound Vib.
0022-460X, 170
, pp. 325
–337
.10.
Jazar
, G. N.
, Houim
, R.
, Narimani
, A.
, and Golnaraghi
, M. F.
, 2006, “Frequency Response and Jump Avoidance in a Nonlinear Passive Engine Mount
,” J. Vib. Control
1077-5463, 12
(11
), pp. 1205
–1237
.11.
Yang
, P.
, Yang
, J.
, and Ding
, J.
, 2006, “Dynamic Transmissibility of a Complex Nonlinear Coupling Isolator
,” Tsinghua Science & Technology
, 11
(5
), pp. 538
–542
.12.
Popov
, G.
, and Sankar
, S.
, 1995, “Modelling and Analyses of Non-Linear Orifice Type Damping in Vibration Isolators
,” J. Sound Vib.
0022-460X, 183
(5
), pp. 751
–764
.13.
Xiong
, Y. P.
, Xinga
, J. T.
, and Price
, W. G.
, 2005, “Interactive Power Flow Characteristics of an Integrated Equipment–Nonlinear Isolator–Travelling Flexible Ship Excited by Sea Waves
,” J. Sound Vib.
0022-460X, 287
, pp. 245
–276
.14.
Nayfeh
, A.
, and Mook
, D. T.
, 1979, Nonlinear Oscillations
, Wiley
, New York
.16.
Brennan
, M. J.
, Kovacic
, I.
, Carrella
, A.
, and Waters
, T. P.
, 2008, “On the Jump-Up and Jump-Down Frequencies of the Duffing Oscillator
,” J. Sound Vib.
0022-460X, 318
, pp. 1250
–1261
.17.
Malatkar
, P.
, and Nayfeh
, A. H.
, 2002, “Calculation of the Jump Frequencies in the Response of a s.d.o.f. Non-Linear Systems
,” J. Sound Vib.
0022-460X, 254
(5
), pp. 1005
–1011
.Copyright © 2009
by American Society of Mechanical Engineers
You do not currently have access to this content.
