Khropost V. Geometric aspects of deformation of parts taking into account their shape and material properties

Українська версія

Thesis for the degree of Doctor of Philosophy (PhD)

State registration number

0825U001265

Thesis Registration Form

0825U001265.pdf

Applicant for

Viacheslav I. Khropost

Specialization

131 - Прикладна механіка

Date of defense

12-05-2025

Specialized Academic Board

PhD 133

National University of Life and Environmental Sciences of Ukraine

Essay

The paper considers various variants of deformation of metal products: elastic bending, absolutely elastic bending, bending of a flat billet from a metal sheet into a finished product (reamable or non-reamable surface), rolling of a straight strip between rolls under significant plastic deformations. In this paper, we consider two approaches to constructing an approximate unwrapping of a coil of a non-unwrapped helical surface. One is based on the assumption that the lengths of the bounding helical lines of the coil are equal to the lengths of the corresponding arcs of the circles of a flat ring - the approximate scan. The paper considers more complex cases where the elastic axis of the rod is curved. The cases considered include the risers of cultivating tines of agricultural implements, as well as spring teeth that combine curved and straight parts. The inverse problem of absolutely elastic bending of a strip is considered on the example of finding the shape of a spiral spring and a piston ring in the free state. The paper also discusses the elastic bending of cylindrical and conical sheet metal parts by bending them with three rolls. The classical theory of bending surfaces of differential geometry is applied to other practical problems. In particular, it is shown that the non-unfolding surface of a helical knife can be replaced by the surface of an unfolding helicoid. In this case, it is possible to find its exact scan without taking into account the thickness, which can be quite accurate. This makes it easier to deform it into a finished product without compromising its performance.

Thesis supervisor

Tetiana A. Kresan

Official opponents

Petro М. Yablonskyi
Ivan B. Hevko

Reviewers

Andrii V. Nesvidomin
Oleksandra M. Trokhaniak

Research papers

Pylypaka S., Hropost V., Kresan T., Hryshchenko I., Babka V. Calculation of the bending parameters of a flat workpiece into a twist of a helicoid torso. Machinery & Energetics. 2022. № 13 (4). Р. 81–88.

Volina T., Pylypaka S., Hropost V., Kresan T., Zabolotnii O. Construction of a flat workpiece for manufacturing a turn of the right helicoid. Eastern-European Journal of Enterprise Technologies. 2023. № 2 (1 (122). Р. 6–11.

Volina T., Pylypaka S., Hropost V., Kresan T., Vasyliuk V. The Form of a Spiral Spring in a Free State. Advanced Manufacturing Processes V. 2023. Р. 509–517.

Pylypaka S., Hropost V., Volina T., Kresan T., Borodai S. Analytical description of adjustment of rolls for manufacturing parts from elastic sheet material. Eastern-European Journal of Enterprise Technologies. 2024. № 1 (7 (127). Р. 60–65.

Ahmed A. K., Pylypaka S., Volina T., Hropost V., Kresan T. Elastic Bending of a Strip Under the Action of Applied Forces. Lecture Notes in Mechanical Engineering. 2024. Р. 121–130.

Pylypaka S., Hropost V., Nesvidomin V., Volina T., Kalenyk M., Volokha M., Zalevska O., Shuliak I., Dieniezhnikov S., Motsak S. Designing a helical knife for a shredding drum using a sweep surface. Eastern-European Journal of Enterprise Technologies. 2024. № 4 (1 (130). Р. 37–44.

Pylypaka S., Volina T., Hropost V., Kozlova O., Tatsenko O. Investigation of deformation of the spring tooth of agricultural implements from the action of the force applied to it. Machinery & Energetics. 2024. № 15 (1). Р. 23–32.

Pylypaka S., Hropost V., Volina T., Kalenyk M., Ruzhilo Z., Dieniezhnikov S., Tarelnyk N., Tatsenko O., Semirnenko S., Motsak S. Constructing a model of the axis form in a S-shaped riser of a cultivator paw. Eastern-European Journal of Enterprise Technologies. 2024. № 5 (1 (131). Р. 65–71.

Пилипака С. Ф., Кресан Т. А., Федорина Т. П., Хропост В. І. Врахування товщини листового матеріалу при виготовленні конічного диска згинанням плоского кільця. Інженерія природокористування. 2020. № 2 (16). С. 78–83.

Пилипака С. Ф., Кресан Т. А., Хропост В. І., Бабка В. М. Пружне згинання смуги із значним прогином під дією прикладених сил та моменту. Прикладна геометрія та інженерна графіка. 2021. № 101. С. 137–147.

Пилипака С. Ф., Кресан Т. А., Хропост В. І., Бабка В. М. Особливості згинання заготовки у вигляді плоского кільця у гвинтовий коноїд. Прикладна геометрія та інженерна графіка. 2022. № 102. С. 157–164.

Хропост В. І., Демчук І. О. Пружне згинання криволінійної смуги із заданою початковою кривино її пружної осі. Прикладна геометрія та інженерна графіка. 2023. № 104. С. 183–189.

Хропост В. І., Кресан Т. А. Конструювання витка відкритого гелікоїда з плоскої заготовки. Прикладна геометрія та інженерна графіка. 2023. № 105. С. 213–221.

Пилипака С. Ф., Кресан Т. А., Хропост В. І., Грищенко І. Ю., Демчук І. О. Керування згинанням торсів зміною залежності кута підйому його ребра звороту. Прикладна геометрія та інженерна графіка. 2024. Т. 1. № 106. С. 201–209.

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