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Keywords: chaos
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Journal Articles
Article Type: Technical Briefs
J. Vib. Acoust. August 2012, 134(4): 044501.
Published Online: May 29, 2012
..., and a total power) are calculated, investigated, and shown for different regimes, regular and chaotic ones for parametric resonance interactions. 21 04 2011 17 10 2011 29 05 2012 29 05 2012 non-ideal power sources parametric resonance chaos The motion of nonlinear surface...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. December 2011, 133(6): 061018.
Published Online: November 28, 2011
... bifurcation chaos elastic hysteresis electromagnetic actuators electromechanical actuators Lyapunov methods nonlinear dynamical systems robot dynamics torque motors vibrations This paper considered the dynamics of electromechanical systems with nonlinear mechanical and electrical components...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. October 2010, 132(5): 051004.
Published Online: August 19, 2010
... 01 2010 19 08 2010 19 08 2010 chaos frequency response nonlinear differential equations plates (structures) structural acoustics vibrations rectangular thin plate nonlinear vibration frequency-response function Thin plates have been widely used in many...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. June 2010, 132(3): 031013.
Published Online: May 13, 2010
... to stable regions. To fully understand the system, numeric simulations were reperformed on a pair of van der Pol oscillators with the aim to slowly vary one of the parameters. As earlier, the numerical simulations showed presence of chaos in the response of the coupled van der Pol systems. Extended...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. December 2009, 131(6): 061008.
Published Online: November 18, 2009
... cables (mechanical) chaos suspensions vibrations shallow suspended cable multiple internal resonances the method of multiple scales frequency-response curves out-of-plane vibration Cable structures are important in many engineering applications such as voltage transmission lines...
Journal Articles
Article Type: Research Papers
J. Vib. Acoust. December 2009, 131(6): 061001.
Published Online: October 21, 2009
... spectra, and the Poincaré maps are used to carry out the analyses of bifurcation and chaotic motion. Period doubling, quasiperiod loop breaking, and mechanism of intermittency are observed as the routes to chaos. Wen , B. C. , Wu , X. H. , and Han , Q. K. , 2004 , The Nonlinear...
Journal Articles
Article Type: Technical Papers
J. Vib. Acoust. December 2007, 129(6): 763–770.
Published Online: July 9, 2007
.... Experimental results based on the proposed approaches show that very small amounts of added mass at different locations along the beam can be accurately identified. 2 30 07 2006 09 07 2007 beams (structures) chaos condition monitoring feedback flaw detection intelligent structures...
Journal Articles
Article Type: Technical Papers
J. Vib. Acoust. June 2006, 128(3): 282–293.
Published Online: November 16, 2005
...) numerical Lyapunov exponent are obtained, and it is found that chaos can appear suddenly, through period doubling, period adding, or torus breakdown. The extreme sensitivity of the electromechanical system to both initial conditions and tiny variations of the coupling coefficients is also outlined...
Journal Articles
Article Type: Technical Papers
J. Vib. Acoust. February 2006, 128(1): 35–40.
Published Online: July 14, 2005
.... 05 11 2003 14 07 2005 vibrations structural acoustics rotors turbomachinery bifurcation variational techniques chaos Poincare mapping boundary layers aeroacoustics Fluid-film bearings play a key role in the design of turbomachinery systems. They are important components...
Journal Articles
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
Article Type: Technical Papers
J. Vib. Acoust. February 2006, 128(1): 28–34.
Published Online: July 1, 2005
... of the fragmentized strange attractors should be further developed. 17 03 2005 01 07 2005 chaos piecewise linear techniques Poincare mapping bifurcation linear systems damping vibrations Consider a periodically excited, piecewise linear system 1 x ̈ + 2 d x ̇ + k ( x...
Journal Articles
Article Type: Technical Papers
J. Vib. Acoust. August 2006, 128(4): 449–457.
Published Online: June 15, 2005
..., the number of unknown coefficients of polynomial chaoses has been reduced significantly. In addition, closed-form calculation of the expected value of a product of two polynomial chaoses and the random mistuning variable has been made. The validity of the approach of polynomial chaos is demonstrated...
Journal Articles
Article Type: Technical Papers
J. Vib. Acoust. June 2005, 127(3): 262–272.
Published Online: June 1, 2005
... 05 2005 electric machines nonlinear dynamical systems chaos vibrations rotors mechanical stability machine bearings state-space methods Poincare mapping fast Fourier transforms Lyapunov methods condition monitoring Elwell R. C. , and Findlay J. A. , 1969...
Journal Articles
Article Type: Technical Papers
J. Vib. Acoust. August 2006, 128(4): 429–438.
Published Online: May 27, 2005
... drastically different modal response from that due to the steady-state thermal field. Chaos is found being induced by the transient in-plane thermal field, or by both transient in-plane and transverse thermal fields. Unique bifurcation behavior is observed with different thermal frequencies. Different loading...
Journal Articles
Article Type: Technical Papers
J. Vib. Acoust. February 2006, 128(1): 21–27.
Published Online: January 30, 2005
... of the measured signal. The developed control scheme allows chaos suppression despite uncertainties in the model as well as unmeasured disturbances. The Chua and Φ 6 -Duffing are used to illustrate the performance of the proposed controller. 10 05 2004 30 01 2005 chaos feedback nonlinear...
Journal Articles
Article Type: Technical Papers
J. Vib. Acoust. April 2003, 125(2): 162–169.
Published Online: April 1, 2003
.... 01 Sept 2000 01 Sept 2002 01 04 2003 relaxation oscillators oscillations chaos synchronisation limit cycles Limit cycle oscillators arise in many biological, mechanical and electrical systems such as large groups of crickets that synchronously chirp 1 , cell division...
Topics: Stability
Journal Articles
Article Type: Technical Papers
J. Vib. Acoust. July 2002, 124(3): 420–426.
Published Online: June 12, 2002
... motions instead of symmetrical period-1 motion is observed. A numerical investigation for symmetrical, period-1 motion to chaos is completed. The numerical and analytical results of periodic motions are in very good agreement. The methodology presented in this paper is applicable to other discontinuous...
Journal Articles
Article Type: Technical Briefs
J. Vib. Acoust. July 2002, 124(3): 460–464.
Published Online: June 12, 2002
... and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS . Manuscript received May 2001; revised March 2002. Associate Editor: G. Flowers. 01 May 2001 01 March 2002 12 06 2002 resonance magnetic bearings machine bearings rotors chaos nonlinear dynamical systems...
Journal Articles
Article Type: Technical Papers
J. Vib. Acoust. April 2002, 124(2): 198–208.
Published Online: March 26, 2002
...; revised August 2001. Associate Editor: A. Vakakis. 01 10 2000 01 10 2000 26 03 2002 The bifurcation and chaos of the unbalanced response of a rigid rotor supported by squeeze-film damper with active control have been studied in this paper...
Journal Articles
Article Type: Technical Papers
J. Vib. Acoust. January 2002, 124(1): 126–131.
Published Online: September 1, 2001
.... 2001. Associate Editor: S. C. Sinha. 01 Nov 1999 01 Sept 2001 chaos vibrations bifurcation mechanical stability resonance The first recorded work on the chaotic vibrations of a buckled beam was by Tseng and Dugundji 1 where the harmonic balance method was used to solve...