The chaotic dynamics of vibrational mechanisms with energy sources of limited power

Verichev, N. N.; Verichev, Stanislav; Yerofeyev, V.I.

doi:10.1016/j.jappmathmech.2007.07.009

Cited by 4 publications

(2 citation statements)

References 5 publications

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“…For instance, according to the frequency value from small to big, the vibration frequency is divided into several periods. It can get the motion curve of the second-level partial block in each period from equation (3). Take the medium-speed time for a example.…”

Section: Simulations and Resultsmentioning

confidence: 99%

Numerical Simulation and Mechanism Study of Two Level Partial Blocks Vibration Motor

Yang

Liu

Zou

2011

AMR

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In order to finish some special operations, the chaotic vibrating motor with two-level partial blocks is constructed. Mechanism principles are designed and dynamics of mechanical model is analyzed by using Lagrange method. Based on the initial sensitivity, non-repetition and complexity of phase-trajectory, many characteristics of chaotic vibration are verified in the vibrating system. It is found the vibrating system with wide power spectrum can achieve some special properties like transient high-intensity, super high-intensity and large vibrating amplitude. It is important to overcome some work barriers and solve some technological bottlenecks of vibrating machinery.

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Section: Simulations and Resultsmentioning

confidence: 99%

Numerical Simulation and Mechanism Study of Two Level Partial Blocks Vibration Motor

Yang

Liu

Zou

2011

AMR

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“…Most researchers focus on how to improve collision probability, efficiency of grinding or the refinement of powders. Some conclusions on the principle, structure and improvement of vibration intensity have been drawn (Gock and Kurrer, 1999;Wang et al, 2006;Verichev et al, 2007). However, the efficiency of superfine particle preparation is still unsatisfactory, and correlative studies on using chaotic vibration and high vibration intensity to solve some specific operational requirements are rarely reported.…”

Section: Introductionmentioning

confidence: 99%

Study on chaotic vibration and high vibration intensity of a multi-level partial blocks excitation system

Yang

Liu

Luoming

et al. 2013

Journal of Vibration and Control

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A multi-level partial blocks excitation system was proposed to meet the special requirement of vibration equipment. The dynamic mechanical model was analyzed using Lagrange equations to obtain angular displacement equations of higher level partial block. The instantaneous vibration intensity and amplitude were also found. The simulation test was performed using MATLAB in order to obtain the motion curves, phase-trajectory and Poincare maps of higher level partial block. Due to the fact that the existence of the initial sensitivity, nonrepeatability and complexity of the phase trajectory, and flake points set and many discrete points in Poincare maps, the vibration system exhibited many characteristics of chaotic vibration. It was found that the chaotic excitation system with a strongly nonlinear and wide frequency band could achieve some special exciting vibration properties, such as intermittent high vibration intensity, transient super-high vibration intensity and large vibrating amplitude. Based on these analyses, the vibration mill was developed. The research showed that these measured vibration intensity K À t and amplitude A À t curves were consistent with theoretical analysis and the simulation of the motion curves, phase-trajectory and Poincare maps. In the field of vibration engineering, the special inertial properties are important to overcome work barriers and solve current technological bottlenecks.

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The dynamics of a “flexible-rotor/limited-power-excitation-source” system

Verichev

Yerofeyev

2009

Journal of Applied Mathematics and Mechanics

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The chaotic dynamics of vibrational mechanisms with energy sources of limited power

Cited by 4 publications

References 5 publications

Numerical Simulation and Mechanism Study of Two Level Partial Blocks Vibration Motor

Numerical Simulation and Mechanism Study of Two Level Partial Blocks Vibration Motor

Study on chaotic vibration and high vibration intensity of a multi-level partial blocks excitation system

The dynamics of a “flexible-rotor/limited-power-excitation-source” system

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