Energy consumption in vibrational transportation and process machines

«Mekhanobr-Tekhnika», Rec; Blekhman, I. I.; Vasilkov, V. B.; Вайсберг, Л. А.

doi:10.17580/or.2019.01.03

Cited by 8 publications

(5 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Let us revisit the question of how close these systems in the steady state are to conservative systems. Note that, in such systems, the energy consumption for friction in the bearings and for the propulsion of the processed material is, firstly, compensated by the energy supplied by the electric motors and, second, represents only a small portion of the energy of the system [27]. The influence of gravity in this case is negligible and, moreover, causes angular rate ripple with the same (not doubled) frequency.…”

Section: Analysis Of the Solution; Energy Ripple Effect In The Systemmentioning

confidence: 99%

Energy and frequency ripple in devices with inertial excitation of oscillations

Blekhman

Вайсберг

Vasilkov

2021

Phil. Trans. R. Soc. A.

Self Cite

View full text Add to dashboard Cite

We consider vibration devices that consist of softly vibration-isolated rigid bodies subjected to vibrations transmitted by means of inertial vibration exciters (unbalanced rotors) driven into rotation by electric motors. Typically, when designing such devices, it is assumed that the rotors rotate uniformly with a certain circular frequency and the body performs small harmonic oscillations with the same frequency. The present work, using a second-order approximation of their nonlinear coupled differential equations, shows that the rotor and the oscillating body keep exchanging energy. At the same time, the angular velocity of the rotor oscillates with the working frequency as well as with its multiple frequencies during each revolution. As a result, the acceleration of the oscillating body also acquires harmonics with multiple frequencies. This may cause both unwanted and beneficial resonance phenomena. We obtain formulae describing the magnitudes of these ripples. We show that the magnitude of oscillations of the angular frequency can also be estimated using energy considerations. Such estimates are provided for the three most common schemes of dynamic devices. Available experimental data confirm the main conclusions of the theory. We discuss both the harmful effects of these phenomena as well as their possible applications. The latter include design of bi-harmonic vibration exciters and exciters based on vibrational resonance. This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 2)’.

show abstract

Section: Analysis Of the Solution; Energy Ripple Effect In The Systemmentioning

confidence: 99%

Energy and frequency ripple in devices with inertial excitation of oscillations

Blekhman

Вайсберг

Vasilkov

2021

Phil. Trans. R. Soc. A.

Self Cite

View full text Add to dashboard Cite

show abstract

“…This mode allows to ensure the machine vibration stability in a wide range of load parameters. However, due to the need to overcome resonant frequencies, it is necessary to use electric motors with excess power [8,9]. This leads to the fact that in the operating mode the drive motor is significantly underloaded, as a result of which energy consumption increases and its service life decreases.…”

Section: Introductionmentioning

confidence: 99%

Creation and verification of spatial mathematical model of vibrating machine with two self-synchronizing unbalanced exciters

Lyan¹,

Panovko²,

Shokhin³

2021

J. vibroeng.

View full text Add to dashboard Cite

Vibration technological machines with self-synchronized unbalanced vibration exciters (vibrating conveyors, vibrating screens, vibrating crushers, etc.) are widely used in modern industry. Despite drive construction simplicity throughout exploitation of such machines a number of nonlinear dynamics effects can be observed. Most of such effects are related to machine drive and elastic suspension interaction and appear while passing through resonant frequencies. Nowadays the idea of resonant vibrating machines creation got a second breathe. The distinctive feature of such machines is the automated system for maintaining resonant mode of machine. Creation of such automated systems requires accurate mathematical models of vibrating machines that can reflect its most important features. The aim of this work is to create a spatial mathematical model and determine the dynamic system unknown parameters of a vibrating screen experimental sample with two self-synchronizing unbalanced vibration exciters that can create the working body spatial motion. The mathematical model motion equations are derived using the Lagrange equations of the second kind. Using the obtained experimental data (natural frequencies and logarithmic damping decrement), the mathematical model mass-geometric parameters and the damping parameters values were calculated. The investigation result is a verified mathematical model of a vibrating screen sample with two self-synchronizing unbalanced vibration exciters.

show abstract

“…In most cases, vibration machines are used in the beyond-resonant frequency range of excitation [1][2][3][4]. This makes it possible to ensure the stability of the required oscillation modes (amplitude and frequency) of the vibration machine's working body, regardless of changes in the parameters of the technological load (composition and inertial characteristics of the processed material).…”

Section: Introductionmentioning

confidence: 99%

“…This leads to the fact that in the operating mode, the electric motor is significantly underloaded, as a result of which energy consumption increases and the engine's service life decreases. In works [1,5], using the example of analyzing the power consumption of a technological vibration machine, the calculated values of the required motor power (consumptions associated with vibration impact on the material and friction in bearings) were obtained, which are much less (approximately half) of the installed power. The excess of the installed power (the power required to maintain the required technological mode) in relation to the required one is mainly due to the required power to pass through resonance and raise debalances when starting the machine.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Analysis of the Near-Resonant Vibrations of a Vibrating Technological Machine with Self-synchronizing Unbalance Vibration Exciters

Gouskov

Panovko

Shokhin

2021

Electromechanics and Robotics

View full text Add to dashboard Cite

The work is devoted to the problem of maintaining near-resonant oscillations of a technological vibration machine with self-synchronizing unbalance vibration exciters under conditions of a variable technological load on its working body. A planar model of a vibration machine with two unbalance exciters driven by asynchronous electric motors is considered. Numerical simulation methods have been used to analyze the dynamics of the system in the near-resonant frequency range at slowly changing mass and position of the mass center of the technological load on the machine's working body. The influence of the rate of change in the mass of the technological load on the oscillations of the system and the self-synchronization of unbalance vibration exciters is established. It is established that the fluctuations in the mass of the technological load lead to fluctuations of mutual phase between the vibration exciters' debalances with the same frequency. In this case, the amplitude of the mutual phase oscillations increases with increasing amplitude of the mass oscillations, practically does not change with a change in their frequency, and significantly increases as one approaches the resonant frequency.

show abstract

Energy consumption in vibrational transportation and process machines

Cited by 8 publications

References 0 publications

Energy and frequency ripple in devices with inertial excitation of oscillations

Energy and frequency ripple in devices with inertial excitation of oscillations

Creation and verification of spatial mathematical model of vibrating machine with two self-synchronizing unbalanced exciters

Numerical Analysis of the Near-Resonant Vibrations of a Vibrating Technological Machine with Self-synchronizing Unbalance Vibration Exciters

Contact Info

Product

Resources

About