Calculation of Unloading Area of Internal Gear Pump and Optimization

In order to obtain the calculation method of the unloading area of the internal gear pump during oil trapping, a pair of internal gears including an external gear and an internal gear was used as the research object to simulate the oil trapping process. The geometric relationship during the meshing...

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Autores principales:	Shanxin Guo, Dagui Chen
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2020
Materias:	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/10def36fd51648e9b66523c4174c958b
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id	oai:doaj.org-article:10def36fd51648e9b66523c4174c958b
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spelling	oai:doaj.org-article:10def36fd51648e9b66523c4174c958b2021-11-15T01:19:27ZCalculation of Unloading Area of Internal Gear Pump and Optimization1563-514710.1155/2020/7319871https://doaj.org/article/10def36fd51648e9b66523c4174c958b2020-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2020/7319871https://doaj.org/toc/1563-5147In order to obtain the calculation method of the unloading area of the internal gear pump during oil trapping, a pair of internal gears including an external gear and an internal gear was used as the research object to simulate the oil trapping process. The geometric relationship during the meshing process was established, and the unloading area expression was obtained by using the geometric pattern expansion method with the variable f as the independent variable. Guided by a mathematical model, two improved optimization schemes were proposed for the internal gear tooth profile, and the unloading area expressions sud, suda, and sudb were obtained. Taking the meshing gear pair with module 3 and number of teeth 13/19 as examples, the simulation results were very consistent with the existing literature. The reliability of the model and the feasibility of the optimization scheme are obtained based on the theoretical analysis and calculation results. This calculation method of unloading area can be applied to the same type of gear pump design in the future, providing a reference for the design of high pressure and low noise gear pumps.Shanxin GuoDagui ChenHindawi LimitedarticleEngineering (General). Civil engineering (General)TA1-2040MathematicsQA1-939ENMathematical Problems in Engineering, Vol 2020 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
spellingShingle	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939 Shanxin Guo Dagui Chen Calculation of Unloading Area of Internal Gear Pump and Optimization
description	In order to obtain the calculation method of the unloading area of the internal gear pump during oil trapping, a pair of internal gears including an external gear and an internal gear was used as the research object to simulate the oil trapping process. The geometric relationship during the meshing process was established, and the unloading area expression was obtained by using the geometric pattern expansion method with the variable f as the independent variable. Guided by a mathematical model, two improved optimization schemes were proposed for the internal gear tooth profile, and the unloading area expressions sud, suda, and sudb were obtained. Taking the meshing gear pair with module 3 and number of teeth 13/19 as examples, the simulation results were very consistent with the existing literature. The reliability of the model and the feasibility of the optimization scheme are obtained based on the theoretical analysis and calculation results. This calculation method of unloading area can be applied to the same type of gear pump design in the future, providing a reference for the design of high pressure and low noise gear pumps.
format	article
author	Shanxin Guo Dagui Chen
author_facet	Shanxin Guo Dagui Chen
author_sort	Shanxin Guo
title	Calculation of Unloading Area of Internal Gear Pump and Optimization
title_short	Calculation of Unloading Area of Internal Gear Pump and Optimization
title_full	Calculation of Unloading Area of Internal Gear Pump and Optimization
title_fullStr	Calculation of Unloading Area of Internal Gear Pump and Optimization
title_full_unstemmed	Calculation of Unloading Area of Internal Gear Pump and Optimization
title_sort	calculation of unloading area of internal gear pump and optimization
publisher	Hindawi Limited
publishDate	2020
url	https://doaj.org/article/10def36fd51648e9b66523c4174c958b
work_keys_str_mv	AT shanxinguo calculationofunloadingareaofinternalgearpumpandoptimization AT daguichen calculationofunloadingareaofinternalgearpumpandoptimization
_version_	1718428906548101120

Calculation of Unloading Area of Internal Gear Pump and Optimization

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