Integrated Complex Approach to Geometric Modeling of Disc Working Parts of Soil-Processing Tools

Ванін, Володимир Володимирович; Virchenko, Gennadii; Yurchuk, V.; Yablonskyi, Petro

doi:10.33842/22195203/20210/18/52/60

Cited by 2 publications

(5 citation statements)

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“…Therefore, s=0…16.09. The alternate substitution of r and R instead of L in formula (10) gives the limits of the distance change u=7.2…12.5. According to formula (5), we find the maximum possible value of ρ i , which corresponds to the sweep of the twist of a helicoid torso: ρ i =3.28.…”

Section: Resultsmentioning

confidence: 99%

“…Let us set the initial surface at ρ i =ρ, then substitute this value into (10) and solve with respect to u:…”

Section: Methodsmentioning

confidence: 99%

“…The difference between these uR-ur values is the length of the rectilinear generators within the flat ring, along which it is bent, so they are unchanged in the bending process. Let's substitute (11) into (10), and after simplifications we get:…”

Section: Methodsmentioning

confidence: 99%

“…The productivity of helical surfaces for transporting technological material depending on the size of the pitch of the turn is considered in the paper [7]. They are very common in agricultural production [8][9][10]. In paper [11], the surface (torso-helicoid) is mobile.…”

Section: Introductionmentioning

confidence: 99%

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Calculation of the bending parameters of a flat workpiece into a twist of a helicoid torso

Pylypaka¹,

Kresan²,

Hropost³

et al. 2022

Tehnìka ta energetika

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Helical surfaces are deployable and non-deployable. The first is the surface of a helical conoid widely used in technology, known as the screw. The second one is the surface of an unfolding helicoid or torso-helicoid. In both cases, the surface is formed from a blank - a sweep in the form of a flat ring. If in the first case the sweep can be calculated approximately, since the exact one does not exist due to the properties of non-expanded surfaces, then in the second case it is calculated exactly. However, this does not mean that it is just as possible to form a ready-made product from it - a twist of a helicoid torso. In contrast to non-expanded surfaces, during the manufacture of which the workpiece is subjected to complex stretching and compression deformations, an expanded surface can be obtained by bending with minimal plastic deformations, the magnitude of which depends on the thickness of the sheet. Bending occurs along rectilinear generators, which are theoretically located on the workpiece. In the process of bending, the location of these generators should not change. In the theory of differential geometry, such a process can be described analytically and is called continuous bending. With regard to the manufacture of the twist of the torso-helicoid, this means a gradual increase in the step to the desired value. The work contains parametric equations that describe this method of bending. At the same time, not only stretching of the workpiece along the axis of the coil occurs, but also its twisting around the axis. A comparison of these two movements was made and it was found that the relationship between them is not linear. The work gives a formula describing this dependence. According to it, when the workpiece is uniformly stretched along the axis, the angle of its twist around the axis increases according to a dependence close to quadratic. In the work, examples of the use of the torso-helicoid are given, the surface is visualized, and graphs are constructed. Confirmation of the reliability of the obtained results is the first found quadratic form of the torso-helicoid, which does not change when the surface is bent

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Section: Resultsmentioning

confidence: 99%

“…Let us set the initial surface at ρ i =ρ, then substitute this value into (10) and solve with respect to u:…”

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Calculation of the bending parameters of a flat workpiece into a twist of a helicoid torso

Pylypaka¹,

Kresan²,

Hropost³

et al. 2022

Tehnìka ta energetika

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“…Цією ж роботою запропоновано підхід, що спирається на поєднання кластерного підходу та математичного апарату структурно-параметричного геометричного моделювання [22], їх адаптацію для ефективного відтворення організаційнотериторіальних кластерних структур [23; 24], зокрема у православ'ї.…”

Section: аналіз останніх досліджень і публікаційunclassified

Cluster Elements Territorial Administration in Orthodoxmodern

Tereschuk¹

2022

MDCS

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This study is devoted to the proposed approach to the use of information technologies, in particular, computer geometric modeling, to improve the efficiency of management of complex socio-economic systems on the example of modern Orthodoxy. The urgency of the chosen topic is due to the rapid return of a large number of people in our country to eternal Christian values after many years of forced atheism. These facts significantly contribute to the current intensive restoration of religious buildings, the construction of new temples, the revival of monasteries, the improvement of places of pilgrimage, the optimization of proper organizational and territorial church structures, the implementation of spiritual-educational and other charitable activities. Our days are characterized by global social changes, such as the widespread introduction of market relations in all spheres of life, land, medical, educational reform, decentralization of state power and more. The above features reveal the high dynamism in the spiritual and material plan of the current stage of development of Ukraine, which is significantly burdened by the COVID-19 pandemic, the military conflict with Russia and other unfavourable factors. The main purpose of the publication is to highlight the developed mathematical apparatus for the automated reproduction of the organizational-territorial cluster structures of Orthodoxy. This ensures, on the basis of the proposed complex geometric models, the improvement of church governance, for example, regarding the definition of rational territorial boundaries of parishes and dioceses, the determining of the need for their unification, liquidation or the formation of new ones, optimization of the location of temples, chapels, educational institutions, etc. The considered approach allows to save material, financial, human and natural resources, to reduce terms and to improve the quality of acceptance of various decisions. The latter applies to a large number of objects and processes, their various properties. The article also outlines promising directions for further scientific research on the selected topic.

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Integrated Complex Approach to Geometric Modeling of Disc Working Parts of Soil-Processing Tools

Cited by 2 publications

References 0 publications

Calculation of the bending parameters of a flat workpiece into a twist of a helicoid torso

Calculation of the bending parameters of a flat workpiece into a twist of a helicoid torso

Cluster Elements Territorial Administration in Orthodoxmodern

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