2005
DOI: 10.1016/j.amc.2004.06.010
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Some comments on the numerical simulation of self-synchronization of four non-ideal exciters

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Cited by 103 publications
(75 citation statements)
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“…Substituting equations (21) and (22) into equation (20), the energy balance of the vibrating body in ydirection can be expressed as…”
Section: Energy Balance Of the Vibration Systemmentioning
confidence: 99%
See 1 more Smart Citation
“…Substituting equations (21) and (22) into equation (20), the energy balance of the vibrating body in ydirection can be expressed as…”
Section: Energy Balance Of the Vibration Systemmentioning
confidence: 99%
“…L Sperling et al 18 presented theoretical and numerical method to explore a two-plane automatic balancing device for equilibration of unbalance rigid-rotor. JM Balthazar et al 19,20 examined selfsynchronization of four non-ideal exciters in non-linear vibration system via computer simulations. Djanan et al 21 explored the synchronization condition for a system, three motors working on a plate, and the synchronous state depends on the physical characteristics of the motors and the plate.…”
Section: Introductionmentioning
confidence: 99%
“…Sperling presented a two-plane automatic balancing device for equilibration of rigid-rotor unbalance, on which the synchronization of the rigid rotors is determined with numerical method. Similarly, Balthazar [16] examined self-synchronization of four nonideal exciters in nonlinear vibration system via numerical simulations. Djanan.…”
Section: Introductionmentioning
confidence: 99%
“…The so-called synchronization phenomenon refers to self-adjusting different frequencies of oscillating objects to a unified frequency relying on their internal weak couplings [1,2]. In recent years, the study of synchronization phenomenon is involved in the fields of physics, chemistry, and biology, such as the practical application on complex dynamic network systems [3][4][5], nonlinear coupled chaotic systems [6,7], coupled pendulum system [8][9][10][11][12], and rotor system [1,[13][14][15][16][17][18][19]. Nevertheless, the latter two systems can be categorized as synchronous problem of mechanics system in detail.…”
Section: Introductionmentioning
confidence: 99%
“…4 The coupling characteristics of two URs in a rigid base of six freedoms were discussed in detail by the authors in Zhao et al 13 In fact, a vibrating system with two URs has general dynamic symmetry which results in synchronization of the two URs. 14 Balthazar et al 15,16 investigated the coupling characteristics of two non-ideal sources (URs) on a flexible portal frame structure and developed four non-ideal sources through a numeric method in which self-synchronization in preresonance and resonance regions stemming from the interaction of system responses was also analyzed. Taking three counting-rotating URs, for example, Zhang et al 17 discussed numerically the coupling characteristics of multiple URs on a spring-mass rigid base and synchronization regime of the system.…”
Section: Introductionmentioning
confidence: 99%