Investigation on the Dynamic Characteristics of Non-Orthogonal Helical Face Gears with Higher-Order Tooth Surface Modification

A study on the dynamic characteristics of non-orthogonal helical face gears with higher-order tooth surface modification is presented in this article. The method of designing the non-orthogonal helical face gears with higher-order tooth surface modification is described. First, MATLAB programming th...

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Main Authors: Chao Jia, Ge Zhang
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/12/3/366
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author Chao Jia
Ge Zhang
author_facet Chao Jia
Ge Zhang
author_sort Chao Jia
collection DOAJ
description A study on the dynamic characteristics of non-orthogonal helical face gears with higher-order tooth surface modification is presented in this article. The method of designing the non-orthogonal helical face gears with higher-order tooth surface modification is described. First, MATLAB programming that can be used for the parameterized 3D mesh calculations of non-orthogonal helical face gears with higher-order tooth surface modification are completed. Second, the calculated grid nodes from the MATLAB programming are imported into ABAQUS to generate a three-dimensional mode. The meshing stiffness of the gear pair is then estimated using finite element analysis. Ultimately, a dynamic model of a non-orthogonal helical face gear pair involving second-order and higher-order tooth surface modifications is established. One example is presented to study the dynamic characteristics of non-orthogonal helical face gear pairs with second-order and higher-order tooth surface modifications. The results show that the dynamic response from the second-order tooth surface modification has a higher peak-to-peak amplitude than that of the higher-order modification.
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spelling doaj.art-6e543f8f843c436d99c390b94ab13d052024-02-09T15:18:06ZengMDPI AGMathematics2227-73902024-01-0112336610.3390/math12030366Investigation on the Dynamic Characteristics of Non-Orthogonal Helical Face Gears with Higher-Order Tooth Surface ModificationChao Jia0Ge Zhang1School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350108, ChinaSchool of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350108, ChinaA study on the dynamic characteristics of non-orthogonal helical face gears with higher-order tooth surface modification is presented in this article. The method of designing the non-orthogonal helical face gears with higher-order tooth surface modification is described. First, MATLAB programming that can be used for the parameterized 3D mesh calculations of non-orthogonal helical face gears with higher-order tooth surface modification are completed. Second, the calculated grid nodes from the MATLAB programming are imported into ABAQUS to generate a three-dimensional mode. The meshing stiffness of the gear pair is then estimated using finite element analysis. Ultimately, a dynamic model of a non-orthogonal helical face gear pair involving second-order and higher-order tooth surface modifications is established. One example is presented to study the dynamic characteristics of non-orthogonal helical face gear pairs with second-order and higher-order tooth surface modifications. The results show that the dynamic response from the second-order tooth surface modification has a higher peak-to-peak amplitude than that of the higher-order modification.https://www.mdpi.com/2227-7390/12/3/366non-orthogonal helical face gearstooth surface modificationhigher-order transmission errordynamic characteristics
spellingShingle Chao Jia
Ge Zhang
Investigation on the Dynamic Characteristics of Non-Orthogonal Helical Face Gears with Higher-Order Tooth Surface Modification
Mathematics
non-orthogonal helical face gears
tooth surface modification
higher-order transmission error
dynamic characteristics
title Investigation on the Dynamic Characteristics of Non-Orthogonal Helical Face Gears with Higher-Order Tooth Surface Modification
title_full Investigation on the Dynamic Characteristics of Non-Orthogonal Helical Face Gears with Higher-Order Tooth Surface Modification
title_fullStr Investigation on the Dynamic Characteristics of Non-Orthogonal Helical Face Gears with Higher-Order Tooth Surface Modification
title_full_unstemmed Investigation on the Dynamic Characteristics of Non-Orthogonal Helical Face Gears with Higher-Order Tooth Surface Modification
title_short Investigation on the Dynamic Characteristics of Non-Orthogonal Helical Face Gears with Higher-Order Tooth Surface Modification
title_sort investigation on the dynamic characteristics of non orthogonal helical face gears with higher order tooth surface modification
topic non-orthogonal helical face gears
tooth surface modification
higher-order transmission error
dynamic characteristics
url https://www.mdpi.com/2227-7390/12/3/366
work_keys_str_mv AT chaojia investigationonthedynamiccharacteristicsofnonorthogonalhelicalfacegearswithhigherordertoothsurfacemodification
AT gezhang investigationonthedynamiccharacteristicsofnonorthogonalhelicalfacegearswithhigherordertoothsurfacemodification