Vibrations in engineering and technology

Dubchak Viktor – Ph.D., Associate Professor of the Department of Mathematics, Physics and Computer Technologies of Vinnitsa National Agrarian University (Pirogov St., 111/21, Vinnitsa, Ukraine, 21037, e-mail: viktor-dubchak58@ukr.net, https://orcid.org/0000-0002-1436-3641).

Manzhos Elvira, Ph.D. (Pedagogy), Associate Professor of Foreign Languages Department of National Pirogov Memorial Medical University, Vinnytsya (Kosmonavtiv St66/135., Vinnytsia, Ukraine, 21027, e-mail: elviramanzhos@gmail.com, https://orcid.org/0000-0032-0287-3107).

An urgent issue in many branches of the modern economy is the possibility of various uses of large-volume containers of various manufacturing geometries for the purpose of storage, transportation and use of various types of technical liquids, water, etc. The most common geometry for the manufacture of such containers is cylindrical, hemispherical, parabolic tanks. In most cases, the spatial arrangement of such containers during their direct use has a vertical orientation. But as the review and trends of modern uses of such cylindrical structures show, there is a trend towards their horizontal or combined location methods during practical operation. The volume of the filler in the conditions of constant use of such containers is also constantly changing, and therefore the main energy characteristics of the filler materials themselves change accordingly, to which we can attribute the actual volume of the liquid, the set of static moments, as a result, the coordinates of the center of gravity, moments of inertia relative to certain coordinate axes, planes, etc. The issue of changing certain geometric characteristics when changing the location of such cylindrical containers from horizontal to vertical or vice versa can be interesting and relevant. A significant number of sectors of the economy show interest in plastic horizontal containers for water storage, and this is understandable, because the ease of use and variety of products attract an increasing number of consumers. Plastic types of cylindrical containers have been gaining popularity in various industries for a long time due to their useful features. Innovative technologies and materials have made it possible to create plastic products of various shapes, sizes and purposes, and this has many obvious advantages. The use of plastic materials in the manufacture of various containers allows to significantly reduce the initial weight of such a product in comparison with its metal counterparts or glass products, which means that when establishing the main energy characteristics, the weight of the container itself can be neglected. In addition, the use of this type of container is convenient for its transportation, installation, etc.

1. Dubchak V. M., Pryshlyak V. M. Calculation of work in one applied technical problem with different location geometry and comparison of the obtained results. Technology, energy, transport of agricultural industry. 2022. No. 2(117). P. 53-62. DOI: 10.37128/2520-6168-2022-2-6.

2. V. M. Dubchak. Mathematical modeling of filling of volumetric geometric structures of bunker-type working bodies with spherical materials. Vibrations in engineering and technology. 2022. No. 4 (107). P. 75-82. DOI: 10.37128/2306-8744-2022-4-9.

3. Pavlovsky M.A. Theoretical mechanics. Textbook. "Technique" publishing house. Kyiv. 2002. 512 p.

4. Shtanko P.K., Shevchenko V.G., Dzyuba L.F., Pasika V.R., Polyakov O.M. Theoretical mechanics. Study guide (edited by P.K. Shtanka). Zaporizhzhia. ZNTU 2013. 376 p.

5. Classical Mechanics. Moment of inertia of a uniform hollow cylinder. Archived from the original on February 7, 2008 at the Wayback Machine. LivePhysics.com.

6. Ferdinand P. Beer and E. Russell Johnston, Jr. Vector Mechanics for Engineers, fourth ed (English). McGraw-Hill Education, 1984. P. 911. ISBN 0-07-004389-2.

7. Eric W. Weisstein. Moment of Inertia. Ring. Wolfram Research. 2012.

8. Bohdan O. M. Rybytska, O. Z. Slyusarchuk. Mathematical analysis. Education study guide L. National Univ. "Lviv. Polytechnic", 2002. 307 p.

9. School M.I. Mathematical analysis: Textbook: In 2 h. Kyiv. High school. 2005. 349 p.

10. Dubchak V.M., Novytska L.I. Determination of volumetric characteristics of the executive body of technological equipment by the method of using curvilinear coordinates. VNAU. Technical sciences. Issue 2(97). Volume 1. 2017. pp. 114-119.