MATHEMATICAL MODEL OF THE PROCESS OF FITTING THE SHOE MODEL TO THE FOOT

Authors

Keywords:

mathematical model, footwear, modulus of elasticity, foot, lifting zone.

Abstract

In today's conditions, the topical issue is the production of exclusive individual products to individual order, which emphasize the status of the customer, his character and preferences. The task of modern small private shoe companies specializing in the production of custom-made shoes is to study the preparatory and basic processes of shoe production, namely: measuring the feet and layout of the product model of different materials, design or adjustment of shoe pads, shaping the product while tightening shoes. pad, etc.

Knowledge of footwear as an object of study in terms of actual comfort can be assessed on the basis of sensation and perception by direct consumers. That is, the consumer's perception of shoes can be considered as a holistic image or objective-subjective assessment of shoes, which contains a set of properties that an individual receives through the senses.

The mathematical model is investigated of the process of fitting the top of the model-transformer of shoes by individual order to the customer's foot in the anthropometric zone of the foot lift.

The fundamental provisions of the technology of shoe production, theoretical and analytical methods, methods of graphic modeling are used.

The relative deformation of the foot compression in the lifting zone was investigated using a mathematical model of the process of fitting the model to the foot. On the basis of the comparative analysis analytical and experimental dependences of pressure on an inhaling of a working part of a fastener are satisfactorily coordinated. This study provides an opportunity to explore the subjective feelings of foot comfort in footwear, and to predict the provision of high quality indoor shoes to individual order.

The mathematical model of fitting of a template in a separate zone of foot by means of the model-transformer of footwear is investigated.

According to the established principles, the calculated pressure parameters coincide with the analytical ones, which agrees with the correctness of the mathematical model of the process of fitting the template to the foot.

Author Biography

M.M. LESCHISHIN , Kyiv National University of Technology and Design

Аспірант, Асистент кафедри конструювання та технології виробів із шкіри

References

Румянцева Е. Г. О биомеханике нижних конечностей человека / Е. Г. Румянцева, О. Н. Бартош, В.В, Костылева – М.: Дизайн и технологии. 2010. № 15. с. 32- 34

Дубровский В.И., Федорова В.Н. Биомеханика. Учебник для высших и средних заведений.– М., 2003. 672 с.

Wright DG, Rennels DC. A study of the elastic properties of plantar fascia. J Bone Joint Surg Am 1964;46:482-92.

Kitaoka HB, Luo ZP, Growney ES, et al. Material properties of the plantar aponeurosis. Foot Ankle Int 1994;15:557-60. DOI: 10.1177/107110079401501007.

Hurschler C, Vanderby R, Martinez DA, et al. Mechanical and biochemical analyses of tibial compartment fascia in chronic compartment syndrome. Ann Biomed Eng. 1994;22:272-9. DOI: 10.1007/bf02368234.

Kura H, Luo ZP, Kitaoka HB, et al. Mechanical behavior of the Lisfranc and dorsal cuneometatarsal ligaments: in vitro biomechanical study. J Orthop Trauma. 2001;15:107-10. DOI: 10.1097/00005131-200102000- 00006.

Jahss M.H., Kummer F., Michelson J.D. Investigations into the fat pads of the sole of the foot: heel pressure studies // Foot & Ankle. — 1992. — Vol. 13, № 5. — P. 227-232.

Лябах А.П., Міхневич О.Е., Зінченко В.В., Пятковський В.М., Якімов Д.Ю. Механічні властивості жирової тканини підошовної поверхні стопи в нормі та у хворих на цукровий діабет і облітеруючий атеросклероз з трофічними розладами // Міжнародний ендокринологічний журнал.– 2006. – № 3 (5).– С.62 – 65.

Перепелкин А. И., Мандриков В. Б., Краюшкин А. И., Атрощенко Е. С. Некоторые особенности механических свойств стопы человека // Вестник ВолгГМУ.– 2016.–Выпуск 3 (59).– С. 22-24.

Hashemi J., Chandrashekar N., Mansouri H. et al. //J. Orthop. Res. — 2008. — Vol 26, №7. — P. 945—950.

https://doi.org/10.35546/kntu2078-4481.2021.2.13

Published

2021-07-08

Issue

Section

THE TECHNOLOGY OF LIGHT AND FOOD INDUSTRY