.... The free surface oscillations have a chaotic behavior depending on the parametric settings in the electromotor. 21 04 2011 17 10 2011 29 05 2012 29 05 2012 non-ideal power sources parametric resonance chaos The motion of nonlinear surface waves in a tank, excited...

... bifurcation chaos elastic hysteresis electromagnetic actuators electromechanical actuators Lyapunov methods nonlinear dynamical systems robot dynamics torque motors vibrations In manufacturing industries, electromotor is an essential component for the automation of processes. Recently, many...

... are studied numerically, using the frequency-response function and the phase-plane methods. It is also shown that the system parameters have different effects on the nonlinear response of the thin plate. Moreover, the chaotic motion of the thin plate is found by numerical simulation. chaos frequency...

... of these stable in-phase synchronized oscillations have been observed to depend on the value of the van der Pol parameter ϵ . Below this boundary, anti- or out-of-phase oscillations are observed to be stable. Yet another interesting result from Low et al. is the evidence of chaos within a narrow spread...

... 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...

... 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. The system differential equations of motion can be obtained as follows: 1 m r p...

.... 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...

...) 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...

.... 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...

... 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...

... } and { P 3 , P 6 } are represented by the solid and dashed curves, respectively ( n = 1 , a = 20 , c = 100 , E = 1 , d = 0.5 ). 17 03 2005 01 07 2005 chaos piecewise linear techniques Poincare mapping bifurcation linear...

.... 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 by considering a simple model of bladed disk assembly with one mode of vibration for each...

... 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...

... 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...

... 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. First step: In the z 1 -state of Eq. 5 , one treats...

.... 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...

... 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...

... 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...

... . Brown , R. D. , Addison , P. , and Chan , A. H. C. , 1994 , “ Chaos in the Unbalance Response of Journal...

.... 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...