R-functions and chevron surfaces in machine building
In this article, was developed methodologies and constructed equations of different heat transfer surfaces of the fins, including Chevron with the help of R-functions theory. The resulting equations of surfaces have been implemented on a 3D printer. Ribbing not only increases the heat transfer surfa...
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| Дата: | 2017 |
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| Формат: | Стаття |
| Мова: | Russian |
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Journal of Mechanical Engineering
2017
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| Онлайн доступ: | https://journals.uran.ua/jme/article/view/105801 |
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| Назва журналу: | Journal of Mechanical Engineering |
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Journal of Mechanical Engineering| id |
journalsuranuajme-article-105801 |
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Journal of Mechanical Engineering |
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Russian |
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R-function mathematical model the fins of heat transfer surfaces Chevron R-функции математическая модель оребрение теплопередающих поверхностей шеврон УДК 517.95 518.517 R-функції математична модель оребрення теплопередаючих поверхонь шеврон |
| spellingShingle |
R-function mathematical model the fins of heat transfer surfaces Chevron R-функции математическая модель оребрение теплопередающих поверхностей шеврон УДК 517.95 518.517 R-функції математична модель оребрення теплопередаючих поверхонь шеврон Шейко, Т. И. Максименко-Шейко, К. В. Литвинова, Ю. С. Лисин, Д. А. R-functions and chevron surfaces in machine building |
| topic_facet |
R-function mathematical model the fins of heat transfer surfaces Chevron R-функции математическая модель оребрение теплопередающих поверхностей шеврон УДК 517.95 518.517 R-функції математична модель оребрення теплопередаючих поверхонь шеврон |
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Article |
| author |
Шейко, Т. И. Максименко-Шейко, К. В. Литвинова, Ю. С. Лисин, Д. А. |
| author_facet |
Шейко, Т. И. Максименко-Шейко, К. В. Литвинова, Ю. С. Лисин, Д. А. |
| author_sort |
Шейко, Т. И. |
| title |
R-functions and chevron surfaces in machine building |
| title_short |
R-functions and chevron surfaces in machine building |
| title_full |
R-functions and chevron surfaces in machine building |
| title_fullStr |
R-functions and chevron surfaces in machine building |
| title_full_unstemmed |
R-functions and chevron surfaces in machine building |
| title_sort |
r-functions and chevron surfaces in machine building |
| title_alt |
R-функции и шевронные поверхности в машиностроении |
| description |
In this article, was developed methodologies and constructed equations of different heat transfer surfaces of the fins, including Chevron with the help of R-functions theory. The resulting equations of surfaces have been implemented on a 3D printer. Ribbing not only increases the heat transfer surface, but also has a great influence on the hydrodynamics of the flow, and thus on the heat transfer coefficient. In experiments with various methods of finning of Fuel rod claddings were developed more favorable shape of the fins, the so-called Chevron and multi-zone. With the Chevron ribbing the entire surface of the shell is divided into four, six or eight sectors and adjacent sectors of the spiral are located symmetrically relative to the longitudinal axis. Because of the complexity and high cost of manufacturing Chevron transmission is used less frequently than helical, i.e. only in those cases when it is required to transmit high power and high speed, and the axial load of junk. On special machines V-wheels are made all of one piece. A disadvantage of the Chevron ribbing is the high complexity and cost of manufacturing. Thanks to the technology of 3D printing, these deficiencies can be remedied, because the benefits of using 3D printers is reducing the cost of production, reduction of terms of its appearance on the market, the modeling of objects of any shape and complexity, rapidity and high precision manufacturing, the use of different materials, including concrete, hydrogel, wood, metal, plastics, chocolate and even living cells. The article examines the technology of 3D printing. The analysis of the major representation schemes of models of continuous bodies, which revealed significant shortcomings. From the point of view of universality, one of the most promising functional representation, which is based on the use of language implicit mathematical functions with the structural features of the R-functions theory, developed by academician V. L. Rvachev. The analytical description of the designed objects enables to use symbolic geometrical parameters, complicated superposition of functions consequently allowing to change the design elements of these objects. The positivity feature of the built functions in the mid points of the object is convenient to 3D-printing implementing |
| publisher |
Journal of Mechanical Engineering |
| publishDate |
2017 |
| url |
https://journals.uran.ua/jme/article/view/105801 |
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journalsuranuajme-article-1058012017-06-30T20:17:22Z R-functions and chevron surfaces in machine building R-функции и шевронные поверхности в машиностроении Шейко, Т. И. Максименко-Шейко, К. В. Литвинова, Ю. С. Лисин, Д. А. R-function mathematical model the fins of heat transfer surfaces Chevron R-функции математическая модель оребрение теплопередающих поверхностей шеврон УДК 517.95 518.517 R-функції математична модель оребрення теплопередаючих поверхонь шеврон In this article, was developed methodologies and constructed equations of different heat transfer surfaces of the fins, including Chevron with the help of R-functions theory. The resulting equations of surfaces have been implemented on a 3D printer. Ribbing not only increases the heat transfer surface, but also has a great influence on the hydrodynamics of the flow, and thus on the heat transfer coefficient. In experiments with various methods of finning of Fuel rod claddings were developed more favorable shape of the fins, the so-called Chevron and multi-zone. With the Chevron ribbing the entire surface of the shell is divided into four, six or eight sectors and adjacent sectors of the spiral are located symmetrically relative to the longitudinal axis. Because of the complexity and high cost of manufacturing Chevron transmission is used less frequently than helical, i.e. only in those cases when it is required to transmit high power and high speed, and the axial load of junk. On special machines V-wheels are made all of one piece. A disadvantage of the Chevron ribbing is the high complexity and cost of manufacturing. Thanks to the technology of 3D printing, these deficiencies can be remedied, because the benefits of using 3D printers is reducing the cost of production, reduction of terms of its appearance on the market, the modeling of objects of any shape and complexity, rapidity and high precision manufacturing, the use of different materials, including concrete, hydrogel, wood, metal, plastics, chocolate and even living cells. The article examines the technology of 3D printing. The analysis of the major representation schemes of models of continuous bodies, which revealed significant shortcomings. From the point of view of universality, one of the most promising functional representation, which is based on the use of language implicit mathematical functions with the structural features of the R-functions theory, developed by academician V. L. Rvachev. The analytical description of the designed objects enables to use symbolic geometrical parameters, complicated superposition of functions consequently allowing to change the design elements of these objects. The positivity feature of the built functions in the mid points of the object is convenient to 3D-printing implementing В данной статье на основе теории R-функций разработаны методики и построены уравнения различных теплопередающих поверхностей оребрения, в том числе шевронных. Оребрение не только увеличивает поверхность теплообмена, но и оказывает большое влияние на гидродинамику потока, а тем самым и на коэффициент теплоотдачи. Полученные уравнения поверхностей были реализованы на 3D-принтере. Шевронные колёса решают проблему осевой силы, однако ввиду сложности и высокой стоимости изготовления шевронные передачи применяют реже. Технология 3D-печати позволяет снизить себестоимость и трудоемкость изготовления продукции, в том числе шевронных колес. Аналитическая запись проектируемых объектов дает возможность использовать буквенные геометрические параметры, сложные суперпозиции функций, что, в свою очередь, позволяет оперативно изменять их конструктивные элементы. Свойство положительности построенных функций во внутренних точках объекта весьма удобно для реализации 3D-печати На основі теорії R-функцій розроблено методики і побудовано рівняння різноманітних оребрень теплопередаючих поверхонь, в тому числі шевронних. Оребрення ТВЕлів не тільки збільшує поверхню теплообміну, але й чинить великий вплив на гідродинаміку потоку, а тим самим і на коефіцієнт тепловіддачі. Отримані рівняння поверхонь було реалізовано на 3D-принтері. Шевронні передачі вирішують проблему осьової сили, однак через складність і високу вартість виготовлення їх застосовують рідше. Технологія 3D-друку дозволяє знизити собівартість і трудомісткість виготовлення продукції, у тому числі шевронних коліс. Аналітичний запис проектованих об'єктів дає можливість використовувати буквені геометричні параметри, складні суперпозиції функцій, що, в свою чергу, дозволяє оперативно змінювати їх конструктивні елементи. Властивість додатності побудованих функцій у внутрішніх точках об'єкта є зручною для реалізації 3D-друку Journal of Mechanical Engineering Проблемы машиностроения Проблеми машинобудування 2017-06-30 Article Article application/pdf https://journals.uran.ua/jme/article/view/105801 Journal of Mechanical Engineering; Vol. 20 No. 2 (2017); 54-60 Проблемы машиностроения; Том 20 № 2 (2017); 54-60 Проблеми машинобудування; Том 20 № 2 (2017); 54-60 2709-2992 2709-2984 ru https://journals.uran.ua/jme/article/view/105801/101083 Copyright (c) 2017 Т. И. Шейко, К. В. Максименко-Шейко, Ю. С. Литвинова, Д. А. Лисин https://creativecommons.org/licenses/by-nd/4.0 |