Analysis of energy efficiency of virtual vibrating machines

Lanets, Oleksiy; Maistruk, Pavlo; Borovets, Volodymyr; Derevenko, Iryna

doi:10.23939/istcipa2019.53.101

Cited by 2 publications

(2 citation statements)

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“…Analyzing known methods of designing inter-resonance three-mass vibrating machines [1], it is known that the reactive mass needs to be quite light. It is also known, that the reactive mass should have the necessary values of rigid parameters.…”

Section: Methodsmentioning

confidence: 99%

“…To implement highly effective inter-resonance operation modes of vibrating machines, the oscillating masses of such a system must precisely calculate values of inertial-rigid parameters, as well as certain frequency characteristics. Calculations of the parameters of inter-resonance vibrating machines are given a lot of attention in scientific works [1]. Also recently, the synthesis of continuous members into classical discrete models of multi-mass oscillating systems has become common [2].…”

Section: Introductionmentioning

confidence: 99%

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Approximate calculation of natural frequencies of oscillations of the diamond-shaped plates of the discrete-continuous inter-resonance vibrating table

Lanets

Maistruk

Derevenko

et al. 2023

IOP Conf. Ser.: Mater. Sci. Eng.

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Conventional single- and two-mass vibrating machines do not have a sufficient level of energy efficiency. There are vibration machines based on inter-resonance oscillating systems, which make possible the significant reduction in the use of electricity. To implement highly effective inter-resonance operation modes of vibrating machines, the oscillating masses of such a system must precisely calculate values of inertial-rigid parameters, as well as their frequency of oscillations. Since the synthesis of continuous sections into classical discrete models of multi-mass mechanical oscillating systems has recently become widespread, the most optimal option is to use a continuous member as a reactive mass of a vibrating machine. The continuous member combines inertial and stiffness parameters and makes it extremely easy to perform the reactive mass. In particular, rectangular plates are used as continuous members. The rectangular shape of the plate is not the only option for making a continuous member. This paper proposes the construction of a discrete-continuous inter-resonance vibration machine with electromagnets, where a diamond-shaped plate is used as a continuous member. The authors carried out the computation of the first natural frequency of the diamond-shaped plate using the Rayleigh-Ritz method with the equation of the hyperboloid. The determined eigenfrequency was confirmed in the Ansys software.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Approximate calculation of natural frequencies of oscillations of the diamond-shaped plates of the discrete-continuous inter-resonance vibrating table

Lanets

Maistruk

Derevenko

et al. 2023

IOP Conf. Ser.: Mater. Sci. Eng.

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Adjustment of analytical examples for installation of inertical and fastest parameters of bilateral resonance vibrating machines

Lanets¹,

Derevenko²,

Novytskyi³

et al. 2022

ISTCIPA

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Goal. It consists in substantiating the rational design of the vibroconveyor as a component of the vibroconveyor line of length , which will provide the necessary technological parameters for the transportation of artificial cargoes. The difficulty of this task is that the speed of transporting goods by mass should be at least . Topicality. The need for these studies is due to the fact that the vibration machine interacts with the parameters of the oscillation system, the main of which are inertial, rigid and power. If they are correctly calculated and implemented in the design of a vibration machine, it will be robust. Failure to consider one type of parameters causes an error in the calculation. Method. The refinement of analytical expressions is carried out using the classical approaches for linear vibrational systems with harmonic perturbation. For this the physical model of the two-mass resonance oscillation system is considered and its mathematical model is developed as a system of linear differential equations. On the basis of this the solution is formed (the values of the amplitudes of oscillations). Unknown parameters remain rigid, provided that the inertia is constructed. Therefore, using the determinants of the matrix of coefficients for unknowns, the necessary mathematical operations are performed that satisfy the imposed conditions for the establishment of rigid parameters. Results. In the paper a series of analytical expressions are obtained that examine the mutual influence of rigid parameters in the system. A comparison of the obtained results according to the specified expressions with classical analytical expressions is made. It is established that the values according to the proposed expressions do not differ significantly from the classical approaches, and therefore, in the case of in-energy calculations, it is sufficient to use existing expressions. The proposed expressions are more precise and therefore recommended for scientific research. Scientific novelty. For the first time, we succeeded in synthesizing analytical expressions for the establishment of inertia-rigid parameters that allow more accurate calculation of two-mass resonance oscillation systems. It is established that for the correct choice of resonant alignments in the system, the mutual influence of rigid parameters in the system is not significant, and therefore it is scientifically grounded to use classical approaches. Practical significance. Established analytical expressions can be widely used in the design of vibration process equipment. The transparency of the output and the relative simplicity of the proposed analytical expressions allows for their widespread use in practice.

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Analysis of energy efficiency of virtual vibrating machines

Cited by 2 publications

References 0 publications

Approximate calculation of natural frequencies of oscillations of the diamond-shaped plates of the discrete-continuous inter-resonance vibrating table

Approximate calculation of natural frequencies of oscillations of the diamond-shaped plates of the discrete-continuous inter-resonance vibrating table

Adjustment of analytical examples for installation of inertical and fastest parameters of bilateral resonance vibrating machines

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