Study on the dynamic load sharing characteristics of nutation face gear transmission

Abstract The nutation face gear transmission is a type of power splitting, and the effects of system parameters such as stiffness and transmission error on load distribution are not yet well understood. The Load Tooth Contact Analysis (LTCA) technique was used to calculate the time-varying meshing s...

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Main Authors: Wang Li, Yufeng Gao, Jingzi Zhang
Format: Article
Language:English
Published: Springer 2025-01-01
Series:Discover Applied Sciences
Subjects:
Online Access:https://doi.org/10.1007/s42452-025-06494-4
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author Wang Li
Yufeng Gao
Jingzi Zhang
author_facet Wang Li
Yufeng Gao
Jingzi Zhang
author_sort Wang Li
collection DOAJ
description Abstract The nutation face gear transmission is a type of power splitting, and the effects of system parameters such as stiffness and transmission error on load distribution are not yet well understood. The Load Tooth Contact Analysis (LTCA) technique was used to calculate the time-varying meshing stiffness of the conjugate face gear pair. A 22-degree-of-freedom bending-torsional-axial coupled dynamic model of the system was established considering parameters such as support stiffness, time-varying meshing stiffness, meshing error, and installation error. A test bench for nutation face gear transmission system was set up, and experimental results shown that the dynamic model of the nutation face gear system had an accuracy of 2.32%. Based on the solution of the dynamic meshing force of the conjugate face gear pairs, the dynamic load sharing coefficient of the nutation face gear transmission system was defined. Through simulation calculations, the effects of support stiffness, comprehensive meshing error, and torsional stiffness of input shaft on the dynamic load characteristics of the system were analyzed. The research results indicate that the radial support stiffness of each face gear and the coupling stiffness between the oblique axis segment of the input shaft has the greatest impact on the load sharing coefficient. Reducing the radial support stiffness of the left branch, increasing the radial support stiffness of the right branch, and increasing the coupling stiffness between the oblique axis segment of the input shaft can improve the system's load-sharing performance by 76%. The asymmetry of the comprehensive meshing error parameters in the two power transmission branches can increase the system's load-sharing coefficient up to 1.8. These findings provide an important basis for the structural and stiffness parameter design of nutating face gear transmissions.
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spelling doaj-art-0dbb1c6ede6740a8b26060f319b835cc2025-02-02T12:36:44ZengSpringerDiscover Applied Sciences3004-92612025-01-017211910.1007/s42452-025-06494-4Study on the dynamic load sharing characteristics of nutation face gear transmissionWang Li0Yufeng Gao1Jingzi Zhang2School of Mechanical Engineering, North China University of Science and TechnologySchool of Mechanical Engineering, North China University of Science and TechnologySchool of Mechanical Engineering, North China University of Science and TechnologyAbstract The nutation face gear transmission is a type of power splitting, and the effects of system parameters such as stiffness and transmission error on load distribution are not yet well understood. The Load Tooth Contact Analysis (LTCA) technique was used to calculate the time-varying meshing stiffness of the conjugate face gear pair. A 22-degree-of-freedom bending-torsional-axial coupled dynamic model of the system was established considering parameters such as support stiffness, time-varying meshing stiffness, meshing error, and installation error. A test bench for nutation face gear transmission system was set up, and experimental results shown that the dynamic model of the nutation face gear system had an accuracy of 2.32%. Based on the solution of the dynamic meshing force of the conjugate face gear pairs, the dynamic load sharing coefficient of the nutation face gear transmission system was defined. Through simulation calculations, the effects of support stiffness, comprehensive meshing error, and torsional stiffness of input shaft on the dynamic load characteristics of the system were analyzed. The research results indicate that the radial support stiffness of each face gear and the coupling stiffness between the oblique axis segment of the input shaft has the greatest impact on the load sharing coefficient. Reducing the radial support stiffness of the left branch, increasing the radial support stiffness of the right branch, and increasing the coupling stiffness between the oblique axis segment of the input shaft can improve the system's load-sharing performance by 76%. The asymmetry of the comprehensive meshing error parameters in the two power transmission branches can increase the system's load-sharing coefficient up to 1.8. These findings provide an important basis for the structural and stiffness parameter design of nutating face gear transmissions.https://doi.org/10.1007/s42452-025-06494-4NutationConjugateFace gearLoad sharingDynamic
spellingShingle Wang Li
Yufeng Gao
Jingzi Zhang
Study on the dynamic load sharing characteristics of nutation face gear transmission
Discover Applied Sciences
Nutation
Conjugate
Face gear
Load sharing
Dynamic
title Study on the dynamic load sharing characteristics of nutation face gear transmission
title_full Study on the dynamic load sharing characteristics of nutation face gear transmission
title_fullStr Study on the dynamic load sharing characteristics of nutation face gear transmission
title_full_unstemmed Study on the dynamic load sharing characteristics of nutation face gear transmission
title_short Study on the dynamic load sharing characteristics of nutation face gear transmission
title_sort study on the dynamic load sharing characteristics of nutation face gear transmission
topic Nutation
Conjugate
Face gear
Load sharing
Dynamic
url https://doi.org/10.1007/s42452-025-06494-4
work_keys_str_mv AT wangli studyonthedynamicloadsharingcharacteristicsofnutationfacegeartransmission
AT yufenggao studyonthedynamicloadsharingcharacteristicsofnutationfacegeartransmission
AT jingzizhang studyonthedynamicloadsharingcharacteristicsofnutationfacegeartransmission