Characteristics of elasticity, frequency, and stability of plate connecting assemblies for vibrating machines

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Authors:


V.P.Shpachuk*, orcid.org/0000-0002-1714-8648, O.M.Beketov National University of Urban Economy in Kharkiv, Kharkiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

O.O.Chuprynin, orcid.org/0000-0002-8757-559X, O.M.Beketov National University of Urban Economy in Kharkiv, Kharkiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

T.O.Suprun, orcid.org/0000-0002-9666-5909, O.M.Beketov National University of Urban Economy in Kharkiv, Kharkiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

* Corresponding author e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.


повний текст / full article



Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 2024, (2): 082 - 087

https://doi.org/10.33271/nvngu/2024-2/082



Abstract:



Purpose.
To formalize the design of the elastic element of the connection unit of a multi-axis vibrating machine with a plate, in the form of internal cutouts and autonomous jumpers. To obtain the dependence of the stiffness of the plate elastic element in the direction of transmitted vibration on the modulus of elasticity of the plate material, the cross-sectional area of an individual lintel, its length, width, and thickness. To determine the limiting values of the forcing forces of the machine that satisfy the stability conditions of the jumpers of the plate package according to Euler.


Methodology.
When creating the configuration of an elastic element in the form of longitudinal bridges of an even number and modeling the stiffness characteristic of the joint, the methods of applied mechanics and the theory of material resistance were used.


Findings.
The basic results of the work include mathematical and physical modeling of the characteristics of elasticity, stability, and mutual influences in the working and combined directions in relation to the connection points of multi-coordinate vibration machines, which are implemented through flat multi-section plate elements. Taken together, this makes it possible to create energy-efficient vibration machines, to increase the accuracy of the program movement of their working body, which in turn increases: the productivity of mining equipment – in the extraction of minerals, and their reliability – in the case of mechanical tests.


Originality.
It consists of the fact that for the first time the dependence of the stiffness of the plate elastic element in the direction of transmitted vibration on the modulus of elasticity of the plate material, the cross-sectional area of an individual lintel, its length, width, and thickness were obtained. It is shown that the stiffness of the plate in the conjugate direction is directly proportional to the material’s modulus of elasticity, the width of the lintel, its thickness cubed, and is inversely proportional to the length of the lintel in the third degree. It is established that in order to ensure the stability conditions of the lintels of the plate package with respect to the limiting values of the forces of the vibration exciters of the machine, there is their directly proportional dependence on the number of plates in the package, the modulus of elasticity of the material, the width of the lintel and the thickness of the plate in the third degree, and is inversely proportional to the length of the jumper in the square.


Practical value.
For the first time, a structural mechanical model of an elastic element has been proposed, represented by a plate divided by internal straight slots into external and internal lintels identical in width and length. A real plate connection unit has been created, and its experimental stiffness characteristics depending on the number of plates in the package are given.



Keywords:
vibrating machine, plate elastic element, stiffness, stability, operating frequency range

References.


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