Self-synchronization of Two Unbalanced DC Motor-Driven Rotors on a Common Movable Platform

Sinha, Anubhab; Samantaray, Arun Kumar; Bhattacharyya, Ranjan

doi:10.1007/978-981-10-8597-0_18

Cited by 7 publications

(5 citation statements)

References 12 publications

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“…Balthazar et al (2004Balthazar et al ( , 2005 presented some comments on synchronization of two or four so-called noideal vibrators. Sinha et al (2019) and Varanis et al (2020) studied the Sommerfeld effect in the vibrating system driven by two DC motors.…”

Section: Introductionmentioning

confidence: 99%

Synchronization characteristics in a vibrator-pendulum coupling system with spatial motion

Chen

et al. 2022

Journal of Vibration and Control

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Due to complex dynamic coupling relationships in the system, the research that couples pendulum and vibrators in the same system is rarely found. Especially in the vibrating system with spatial motion, the theoretical derivation may be too complex to be easy to implement. In this paper, we present a vibrator-pendulum coupling system with spatial motion characteristics; here, the pendulum is driven by the two vibrators mounted on it. The synchronization of the vibrators and the motion characteristics of the system are studied via theory, numeric, and experiment. In theory, the synchronization and stability criteria of the two vibrators are deduced. According to the theoretical results, some numerical qualitative analyses are given to further reveal the synchronous stable states and spatial motion characteristics of the system. The validity of the theoretical methods and the correctness of the numerical qualitative results are examined by simulation and experiment. Taking the pendulum as the working rigid frame, the proposed dynamic model and research results can be applied to design a new kind of vibrating jaw crusher with spatial motion characteristics.

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Section: Introductionmentioning

confidence: 99%

Synchronization characteristics in a vibrator-pendulum coupling system with spatial motion

Chen

et al. 2022

Journal of Vibration and Control

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“…With the maturity of synchronization technology, self-synchronization theory is gradually applied to engineering vibration machine. 1–9 Blekhman et al. proposed the self-synchronization theory of the double-exciter vibrating machine; the results showed that the mechanical structure is simplified, the maintenance workload is decreased, and the service life of the equipment is increased.…”

Section: Introductionmentioning

confidence: 99%

Experimental and theoretical investigation on synchronization of a vibration system flexibly driven by two motors

Ren

Meng

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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With the increasing requirements for screening new materials, such as high-density and high-viscosity drilling fluids, it is necessary to increase the exciting force of the shale shaker to fully handle the new materials. To increase the exciting force of shale shaker while improving the force condition, a dynamic model of a vibration system flexibly driven by two motors is proposed in this paper. The dynamic behavior and synchronization theory of this system are investigated by using Lagrange equation and Hamilton’s principle. The calculation proves that the conventional planar vibration system rigidly driven by two motors is a special case of the investigated spatial vibration system flexibly driven by two motors. The phase difference between the eccentric rotors is automatically adjusted by the system to balance the change in the motor installation position for maintaining synchronization and stability. Theoretical investigation and experimental verification prove that the system can synchronize vibration without additional control synchronization.

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“…For the investigation methods, generally there exist two main representatives, one is the method of direct separation of motions by Blekhman (1988) and the other is the average method by Wen et al (2009). Recently, Sinha et al (2019) investigated the synchronization of two unbalanced direct current motor-driven rotors. Zhang et al (2018Zhang et al ( , 2017 studied synchronization of multiple nonidentical vibrators in the system with single rigid frames (RFs).…”

Section: Introductionmentioning

confidence: 99%

“…The aforementioned literatures (Balthazar et al, 2004(Balthazar et al, , 2005Fang and Hou, 2017;Sinha et al, 2019;Zhang et al, 2017Zhang et al, , 2018 are focused on synchronization and stability of vibrators in vibrating systems with single RF, that with double RFs, however, are rarely reported, especially less experimental verification. To make up this gap, in this article a dynamical model with double RFs driven by two homodromy vibrators is proposed to explore extensive work about the synchronization problem.…”

Section: Introductionmentioning

confidence: 99%

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Theory, numeric, and experiment studies on stability of two homodromy vibrators in a vibrating system with double rigid frames

Zhang

et al. 2020

Journal of Vibration and Control

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The synchronization and stability of two or more vibrators in vibrating systems with double rigid frames are rarely investigated in previous studies. To make up this drawback, we take a dynamical model with double rigid frames driven by two homodromy vibrators, for example the synchronous and stable states of the corresponding system, as well as the relative motion characteristics between the two rigid frames, are analyzed in detail. First, the mathematical modeling of the system is given; the absolute motion and relative motion differential equations of the system are deduced. After that, the theory conditions of implementing synchronization and those of stability are obtained, by using the average method and Hamilton’s principle, respectively. Based on the theoretical results, some numerical qualitative analyses are provided to reveal the coupling dynamical characteristics of the system, and the corresponding ideal working regions are suggested. Finally, experiments are carried out to further examine the validity of the theoretical and numerical results. The present work can offer a reference to design some new vibrating machines such as the considered model.

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Self-synchronization of Two Unbalanced DC Motor-Driven Rotors on a Common Movable Platform

Cited by 7 publications

References 12 publications

Synchronization characteristics in a vibrator-pendulum coupling system with spatial motion

Synchronization characteristics in a vibrator-pendulum coupling system with spatial motion

Experimental and theoretical investigation on synchronization of a vibration system flexibly driven by two motors

Theory, numeric, and experiment studies on stability of two homodromy vibrators in a vibrating system with double rigid frames

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