ISJ Theoretical & Applied Science 06(74) 2019

Philadelphia, USA

Shalamberidze, M. М., Sokhadze, Z. P., & Lomtadze, N. Z.

Constructing the transverse-vertical geometrical shape of the orthopedic shoe-tree in section 0,5d using the solutions of singular Dirichlet boundary problems.

Full Article: PDF

Scientific Object Identifier: http://s-o-i.org/1.1/TAS-06-74-56

DOI: https://dx.doi.org/10.15863/TAS.2019.06.74.56

Language: Russian

Citation: Shalamberidze, M. М., Sokhadze, Z. P., & Lomtadze, N. Z. (2019). Constructing the transverse-vertical geometrical shape of the orthopedic shoe-tree in section 0,5d using the solutions of singular Dirichlet boundary problems. ISJ Theoretical & Applied Science, 06 (74), 501-504. Soi: http://s-o-i.org/1.1/TAS-06-74-56 Doi: https://dx.doi.org/10.15863/TAS.2019.06.74.56

Pages: 501-504

Published: 30.06.2019

Abstract: The paper presents the results of designing the transverse-vertical section shape of the orthopedic shoe-tree in 0,5D. It is known that from a geometric standpoint, the shoe-tree has a very complicated shape, and its description using mathematical methods of research is a complex and time-consuming process. To solve this problem, the authors of the article used the integral curves of the solutions of singular Dirichlet boundary problems, in particular, for constructing a transverse-vertical shape of the orthopedic shoe-tree in 0,5D. Using the combinations and connections of the segments of integral curves, a transverse-vertical shape was constructed of the orthopedic shoe-tree in 0,5D. This method also allows for changing the shapes on a large scale and with great accuracy to change the shape of the transverse-vertical sections of the orthopedic shoe-tree when shifting from one size to another size. The research results are particularly relevant in the design and production of orthopedic shoe-trees.

Key words: Orthopedic shoe-tree, integral curves, differential equations.