Chaotic vibrations of a nonideal electro-mechanical system

Belato, D.; Weber, Hans Ingo; Balthazar, José Manoel; Mook, Dean T.

doi:10.1016/s0020-7683(00)00130-x

Cited by 82 publications

(42 citation statements)

References 2 publications

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“…The frequency response diagram, obtained by plotting the amplitude of the oscillating system versus the frequency of the excitation, is often used to analyze the dynamic behavior of a system [21]. For the studied system, the frequency response diagram was calculated numerically.…”

Section: Nonlinear Frequency Response Analysismentioning

confidence: 99%

Chaotic behaviors of a ground vehicle oscillating system with passengers

2017

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Abstract. In this paper, some considerations regarding a ground vehicle oscillating system based on chaotic behaviors are studied. The vehicle system is modeled as a full nonlinear seven-degree freedom with an additional degree of freedom for each passenger. Roughness of the road surface is considered as sinusoidal waveforms with time delays for the tires. The governing di erential equations are extracted under Newton-Euler laws and solved via numerical methods. The dynamic behavior of the system is investigated by special nonlinear techniques such as bifurcation diagram, time series, phase plane portrait, power spectrum, Poincar e section, and maximum Lyapunov exponents. The time delays between the tires are used as a control parameter. First, the vehicle behavior is investigated and the chaotic regions are detected. Then, the damping and sti ness coe cients are used to return to the regular behavior. Results show that by changing the system parameters and selecting the appropriate values, one can minimize vibrations as well as eliminate chaotic behavior. The comparison of the results obtained from the proposed model and those from the vehicle without passengers show the great di erences in the dynamic behaviors of the two models.

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Section: Nonlinear Frequency Response Analysismentioning

confidence: 99%

Chaotic behaviors of a ground vehicle oscillating system with passengers

2017

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“…An interesting case occurs when the dynamic system is electromechanical; i.e., when the torque generated by the motor is determined by the dynamic characteristics of the motion. In references [11,12] we analyze the behavior of a mathematical pendulum vibrating in a horizontal plane suspension point and a non-ideal energy source (DC motor). The relation between the torque generated by the motor and the angular velocity of the rotor is determined by the dynamic characteristics of the motor.…”

Section: Preliminary Commentsmentioning

confidence: 99%

Remarks on the Passage Through Resonance of a Vibrating System With Two Degrees of Freedom, Excited by a Non-Ideal Energy Source

Balthazar¹,

Cheshankov²,

Ruschev³

et al. 2001

Journal of Sound and Vibration

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“…For larger values of control parameter, a small amplitude jump was observed. The loss of stability of the system was found to occur through a saddle-node bifurcation [27]. In a related work [28], further investigations on the properties of the transient response of the same system showed that the loss of stability occurs by a sequence of events which include intermittence and crisis, when the system reaches a chaotic attractor.…”

mentioning

confidence: 91%

“…The highly non-linear interactions make it difficult to perform analytical studies on transient behavior due to non-ideal vibrations. Some numerical studies on dynamic characteristics of a vertical pendulum whose base is actuated horizontally through a slider crank mechanism, where the crank is driven through a DC motor, were performed in [27]. Investigations on the properties of the transient response of this nonlinear and non-ideal problem showed that near the fundamental resonance region, the system may exhibit multi-periodic, quasiperiodic, and chaotic motion.…”

mentioning

confidence: 99%

Steady-state dynamics of a non-ideal rotor with internal damping and gyroscopic effects

Samantaray

2008

Nonlinear Dyn

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A rotor driven by an ideal source, i.e., a source capable of delivering unlimited amount of power, becomes unstable beyond a certain threshold spin speed due to non-conservative circulatory forces. The circulatory forces considered in this paper arise out of rotating internal damping. If the drive is nonideal then the rotor spin speed cannot exceed the stability threshold. This phenomenon is a type of the Sommerfeld effect. In this work, a DC motor driving four-degrees-of-freedom rotor with internal damping and gyroscopic effects is considered and the corresponding steady-state spin frequency and the whirl orbit amplitude are analytically derived as functions of the parameters of the drive and the rotor system.

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Chaotic vibrations of a nonideal electro-mechanical system

Cited by 82 publications

References 2 publications

Chaotic behaviors of a ground vehicle oscillating system with passengers

Chaotic behaviors of a ground vehicle oscillating system with passengers

Remarks on the Passage Through Resonance of a Vibrating System With Two Degrees of Freedom, Excited by a Non-Ideal Energy Source

Steady-state dynamics of a non-ideal rotor with internal damping and gyroscopic effects

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