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Keywords: bifurcation
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Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Vib. Acoust. June 2021, 143(3): 034502.
Paper No: VIB-20-1306
Published Online: October 27, 2020
..., and stability of such a bi-gyroscopic system have been studied by the standard eigenvalue problems. The bifurcation series of frequencies and corresponding modal motions have been presented to show the gyroscopically coupled motions. The complex modes of the proposed bi-gyroscopic systems, such as whirling...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. June 2021, 143(3): 031004.
Paper No: VIB-20-1183
Published Online: October 6, 2020
... to solve this model. The bifurcation and chaos in the proposed dynamic model with the change of the operating time and the excitation frequency are investigated by bifurcation and spectrum waterfall diagrams to analyze the bifurcation characteristics and the dimensionless mesh force. It is found...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Vib. Acoust. April 2014, 136(2): 021004.
Paper No: VIB-13-1058
Published Online: December 9, 2013
... form and the bifurcation behaviors for the single- and two-degree-of-freedom systems are studied in detail. A new type of bifurcation, which we refer to as a star bifurcation, has been observed for the symmetric two-degree-of-freedom system. This bifurcation is of codimension-four for the undamped case...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Vib. Acoust. June 2013, 135(3): 031017.
Paper No: VIB-12-1277
Published Online: April 25, 2013
.... Moreover, the stability and bifurcation features of the system and the nonlinear dynamic stress of the rotor cannot be investigated. In this paper, the shooting method, path-following technique, and Floquet theory are chosen to evaluate the stability and bifurcation characteristics of a 3D rotor system...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. December 2011, 133(6): 061018.
Published Online: November 28, 2011
... balance method and direct numerical simulation. Chaotic behavior is presented via the bifurcation diagrams and corresponding Lyapunov exponent. Some implications of the results on the applications of the devices are discussed. 28 04 2009 19 03 2010 28 11 2011 28 11 2011...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. December 2009, 131(6): 061001.
Published Online: October 21, 2009
... of periodical change in contact position between balls and races. The numerical integration method is used to obtain the nonlinear dynamic responses; the effects of the rotating speed and the bearing clearance on dynamic responses are analyzed; and the bifurcation plots, the phase plane plots, the frequency...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. April 2009, 131(2): 021011.
Published Online: February 19, 2009
... . Lu , Q. S. , To , C. W. S. , and Huang , K. L. , 1995 , “ Dynamic Stability and Bifurcation of an Alternating Load and Magnetic Field Excited Magneto-Elastic Beam ,” J. Sound Vib. , 181 , pp. 873 – 891 . 0022-460X Shih , Y. S. , Wu , G. Y. , and Chen , J. S...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. October 2008, 130(5): 051004.
Published Online: August 12, 2008
... probability density of amplitude and phase difference, the stochastic jump of the Duffing oscillator and P-bifurcation as the system parameters change are examined for the first time. The agreement between the analytical results and those from Monte Carlo simulation of original system shows that the proposed...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. October 2008, 130(5): 051002.
Published Online: August 12, 2008
... of the beam are initially obtained in the frequency domain and then represented as integrations of complex function in the space-time domain. A bifurcation is found in critical speed against resonance frequency. When the dimensionless frequency is high, there is a single critical speed that increases...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. August 2008, 130(4): 041008.
Published Online: July 11, 2008
... of Coulomb friction makes the trivial equilibrium, which is an unstable focus in the system without friction, into a locally asymptotically stable equilibrium set. The branch of stable nontrivial steady states is not bifurcated from the trivial steady state by the effect of Coulomb friction and is different...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. June 2008, 130(3): 031012.
Published Online: May 14, 2008
.... Because the rotor is slender, the natural frequency p f n of a forward whirling mode and p b n of a backward whirling mode have the relation of internal resonance p f n : p b n = 1 : ( − 1 ) . Due to the influence of the internal resonance, various phenomena occur, such as Hopf bifurcation, an almost...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. June 2007, 129(3): 276–284.
Published Online: November 1, 2006
...Albert C. J. Luo; Lidi Chen The grazing bifurcation and periodic motion switching of the harmonically forced, piecewise linear system with impacting are investigated. The generic mappings relative to the discontinuous boundaries of this piecewise system are introduced. Based on such mappings...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. June 2006, 128(3): 282–293.
Published Online: November 16, 2005
...J. C. Chedjou; K. Kyamakya; I. Moussa; H.-P. Kuchenbecker; W. Mathis This paper studies the dynamics of a self-sustained electromechanical transducer. The stability of fixed points in the linear response is examined. Their local bifurcations are investigated and different types of bifurcation...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. February 2006, 128(1): 35–40.
Published Online: July 14, 2005
... to the nonlinear dynamical behavior analysis of a rigid rotor in the elliptical bearing support. Both balanced and unbalanced rotors are taken into consideration. Numerical simulations show that the balanced rotor undergoes a supercritical Hopf bifurcation as the rotor spin speed increases. The investigation...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. April 2006, 128(2): 156–169.
Published Online: July 13, 2005
... chaotic vibration, due to the 1 to ( − 1 ) type internal resonance at the major critical speed and twice the major critical speed are investigated. The following are clarified theoretically and experimentally: (a) the Hopf bifurcation and consecutive period doubling bifurcations possible route to chaos...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. February 2006, 128(1): 28–34.
Published Online: July 1, 2005
...Albert C. J. Luo The criteria for the grazing bifurcation of a periodically forced, piecewise linear system are developed and the initial grazing manifolds are obtained. The initial grazing manifold is invariant. The grazing flows are illustrated to verify the analytic prediction of grazing...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. April 2006, 128(2): 197–202.
Published Online: June 21, 2005
...J. K. Wang; M. M. Khonsari A method is developed for predicting the stability envelope of a rotor-bearing system using the Hopf bifurcation theory. Results are compared to published literature obtained using a trial-and-error method. Newkirk , B. L. and Taylor , H. D. , 1925...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. October 2004, 126(4): 520–527.
Published Online: December 21, 2004
... to the fact that the conditions for resonances between breathers and linear modes are much less restrictive in the former than the latter case. Furthermore, the bifurcation properties are quite different in the two cases: For example, the phenomenon of complex instability, observed only for the “soft spring...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Vib. Acoust. October 2004, 126(4): 574–579.
Published Online: December 21, 2004
...Baozhong Yang; C. Steve Suh Spectral analysis has been widely applied to the detection of bifurcation and the determination of the extent to which dynamic instability and chaotic responses develop. However, because spectral analysis employs stationary sinusoids in representing time-varying signals...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. August 2005, 127(4): 362–369.
Published Online: December 16, 2004
... the response of the rotor are a set of two-degree-of-freedom nonlinear differential equations with time delay coupling in nonlinear terms. It is found that as the time delay increases beyond a critical value, the equilibrium position of the rotor motion becomes unstable and may bifurcate into two qualitatively...