Static continuous bulk material model for inclined bunker section

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Authors:


A.V.Radkevytch, orcid.org/0000-0001-6325-8517, Zhejiang Guangsha Vocational and Technical University of Construction, Dongyang, the People’s Republic of China; Ukrainian State University of Science and Technologies, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

D.O.Bannikov*, orcid.or, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it./0000-0002-9019-9679, Ukrainian State University of Science and Technologies, Dnipro, Ukraine

H.Wu, orcid.org/0000-0003-0857-6883, Zhejiang Guangsha Vocational and Technical University of Construction, Dongyang, the People’s Republic of China, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

X.Cheng, orcid.org/0009-0004-7648-9348, Zhejiang Guangsha Vocational and Technical University of Construction, Dongyang, the People’s Republic of China, 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. 2025, (1): 048 - 054

https://doi.org/10.33271/nvngu/2025-1/048



Abstract:



Purpose.
Obtaining an analytical pattern of pressure distribution of bulk material based on the classical Jansen’s model for an inclined outlet part of a hopper with an arbitrary cross-sectional shape.


Methodology.
The work used a set of research methods, including scientific analysis and synthesis of available technical information regarding the current regulatory and professional approaches to determining the pressure from bulk material in container structures. Computer modeling methods based on the numerical method of structural mechanics ‒ the finite element method ‒ were also used. Analysis of the performance of structural options was carried out using the SCAD design and computing complex (Ukraine). A separate direction in the work was design developments, which included methods for engineering assessment of the accuracy and reliability of the results obtained.


Findings.
An analytical expression for determining the vertical pressure of bulk material is obtained, which reflects in a closed form the regularities of its distribution for the case of a straight inclined rigid wall of the outlet part of the hopper container with an arbitrary cross-sectional shape. The pressure value of the bulk material according to this expression quantitatively exceeds the pressure value according to known analytical models. This gives grounds to believe that when loading the hopper structures, a change in the structure of the bulk material occurs, which is described in the literature as its loosening.


Originality.
The conducted researches allowed for the first time to establish the regularities of the pressure distribution of bulk material during static operation of a hopper structure with straight inclined walls. The obtained expression is structurally the product of two power functions, in which the exponent is the expressions that reproduce the geometry of the outlet part of the hopper structure and the material of its side walls.


Practical value.
The obtained expression allows to calculate the vertical and, if necessary, normal pressure of bulk material for straight inclined walls of hopper structures. It is proved that the pressure increases significantly with increasing its depth, which in the case of unloading the container should lead to the destruction of the static form of laying of bulk material. The developed model is the basis for a more detailed consideration of the characteristics of bulk material, such as the density of laying or the angle of laying.



Keywords:
bulk material, Jansens’s model, bunker, hopper, container

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