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mesh stiffness evaluation of an internal spur gear pair with tooth profile shift

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Science China(Technological Sciences) 2016年第9期59卷 1328-1339页

作者： CHEN ZaiGang ZHAI WanMing SHAO YiMin WANG KaiYun State Key Laboratory of Traction Power Southwest Jiaotong University State Key Laboratory of Mechanical Transmission Chongqing University

Tooth profile shift will change the thickness of gear teeth and a part of geometrical parameters of a gear pair, thus influencing its mesh stiffness and consequently the dynamic performances. In this paper, an analytical mesh stiffness calculation model for an internal gear pair in mesh considering the tooth profile shift is developed based on the potential energy principle. Geometrical representations of the tooth profile shift are firstly derived, and then fitted into the analytical tooth stiffness model of gears. This model could supply a convenient way for mesh stiffness calculation of profile shifted spur gears. Then, simulation studies are conducted based on the developed model to demonstrate the effects of tooth profile shift coefficient on the tooth compliances and the mesh stiffness of the internal spur gear pair. The results show that tooth profile shift has an obvious influence on the mean value, amplitude variation and phase of the mesh stiffness, from which it can be predicted that the dynamic response of an internal gear transmission system will be affected by the tooth profile shift.

关键词： mesh stiffness tooth profile shift internal gear gear transmission tooth compliance

Improved analytical model for mesh stiffness calculation of cracked helical gear considering interactions between neighboring teeth

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Science China(Technological Sciences) 2023年第3期66卷 706-720页

作者： NING JieYu CHEN ZaiGang ZHAI WanMing State Key Laboratory of Traction Power Southwest Jiaotong UniversityChengdu 610031China

As one of the most typical fault forms of the helical gear,the crack will change the dynamic excitation and further affect the dynamic behaviors of the transmission *** to the complicated structure of the helical gears,the coupling effect between the neighboring loaded teeth is usually ignored in the mesh stiffness calculation,making it considerably overestimated especially in the case of the crack *** improved mesh stiffness calculation method of helical gear with spatial crack is proposed to make up this *** interactions between the loaded neighboring teeth induced by the gear body flexibility were considered to improve the calculation accuracy and ***,the load distribution law for the engaged cracked tooth along the tooth width and profile can be *** results indicated that the mesh stiffness of the multi-tooth engagement calculation using this model could be further improved compared with the traditional ***,the effects of the helix angle,crack depth,and crack propagation length on the mesh stiffness and load distribution were investigated using the proposed method.

关键词： mesh stiffness helical gear structural coupling effect slice method spatial crack

Influence Predictions of Contact Effects on mesh stiffness of Face Gear Drives with Spur Gear

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Transactions of Nanjing University of Aeronautics and Astronautics 2015年第5期32卷 566-570页

作者：李政民卿王晶朱如鹏 College of Mechanical and Electrical Engineering Nanjing University of Aeronautics and Astronautics

mesh stiffness is one of important base parameters of face gear dynamic ***,a calculation solution of mesh stiffness of face gear drives is not to be constructed due to complex geometric flakes of face gear ***,a calculation solution of mesh stiffness of face gear drives with a spur gear,which is based on the proposed equivalent face gear teeth and Ishikawa model,is constructed,and the influence of contact effects on mesh stiffness of face gear drives is *** results indicate the mesh stiffness of face gear drives is sensitive to contact effects under heavy loaded operating conditions,*** contributions will benefit to improve dynamic studies of face gear drives.

关键词： face gear drive mesh stiffness contact effect equivalent tooth Ishikawa model

mesh excitations of spur gear considering strong correlation among tooth contact parameters,contact force,and tooth profile deviations

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中国科学:技术科学英文版 2023年第9期66卷 2500-2516页

作者： LI ZhengFa CHEN ZaiGang ZHAI WanMing State Key Laboratory of Traction Power Southwest Jiaotong UniversityChengdu 610031China

Gear mesh excitations are widely concerned in the dynamic studies of the gear transmission ***,intentional and unintentional tooth profile deviations often occur in *** present,the established calculation models of gear mesh excitations consider tooth profile deviations as displacement ***,gear mesh excitations calculated by such models have reduced stability compared with the actual ***,in this study,an improved analytical model of gear mesh excitations with tooth profile deviations is *** established model considers tooth profile deviations,extended tooth contact,and the structure coupling effect of the gear body *** importantly,the model considers the strong correlation among tooth contact parameters,contact force,and tooth profile deviations to better reflect the actual gear mesh.A calculation flowchart with a simple calculation method of contact forces is also proposed to calculate the gear mesh ***,the effects of tooth profile deviations on gear mesh excitations are *** results show that the effects of tooth profile deviations on tooth contact position,the direction of contact force,and equivalent basic circle radii should be considered in the calculation of gear mesh excitations because of smaller system transmission errors,larger double-teeth meshing area,and slighter extended tooth *** profile deviations also cause jumps in tooth contact position and time-varying mesh ***,our findings show that the proposed model can be used to calculate the gear mesh excitations more accurately when the tooth profile deviates greatly.

关键词： mesh stiffness extended tooth contact structural coupling effect tooth contact stability analysis

Spur Gear Tooth Pitting Propagation Assessment Using Model-based Analysis

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Chinese Journal of Mechanical Engineering 2017年第6期30卷 1369-1382页

作者： Xi-Hui Liang Zhi-Liang Liu Jun Pan Ming Jian Zuo Department of Mechanical Engineering University of Alberta School of Mechatronics Engineering University of Electronic Science and Technology Key Laboratory of Reliability Technology for Mechanical and Electrical Product of Zhejiang Province Zhejiang Sci-Tech University

Tooth pitting is a common failure mode of a gearbox. Many researchers investigated dynamic properties of a gearbox with localized pitting damage on a single gear tooth. The dynamic properties of a gearbox with pitting distributed over multiple teeth have rarely been investi- gated. In this paper, gear tooth pitting propagation to neighboring teeth is modeled and investigated for a pair of spur gears. Tooth pitting propagation effect on time-vary- ing mesh stiffness, gearbox dynamics and vibration char- acteristics is studied and then fault symptoms are revealed. In addition, the influence of gear mesh damping and environmental noise on gearbox vibration properties is investigated. In the end, 114 statistical features are tested to estimate tooth pitting growth. Statistical features that are insensitive to gear mesh damping and environmental noise are recommended.

关键词： mesh stiffness mesh damping Geardynamics Vibration Statistical feature Dynamicsimulation

mesh relationship modeling and dynamic characteristic analysis of external spur gears with gear wear

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Frontiers of Mechanical Engineering 2022年第1期17卷 160-177页

作者： Zhixian SHEN Laihao YANG Baijie QIAO Wei LUO Xuefeng CHEN Ruqiang YAN School of Mechanical Engineering Xi’an Jiaotong UniversityXi’an 710049China State Key Laboratory for Manufacturing Systems Engineering Xi’an Jiaotong UniversityXi’an 710061China

Gear wear is one of the most common gear failures,which changes the mesh relationship of normal gear.A new mesh relationship caused by gear wear affects meshing excitations,such as mesh stiffness and transmission error,and further increases vibration and noise *** paper aims to establish the model of mesh relationship and reveal the vibration characteristics of external spur gears with gear wear.A geometric model for a new mesh relationship with gear wear is proposed,which is utilized to evaluate the influence of gear wear on mesh stiffness and unloaded static transmission error(USTE).Based on the mesh stiffness and USTE considering gear wear,a gear dynamic model is established,and the vibration characteristics of gear wear are numerically *** with the experimental results verifies the proposed dynamic model based on the new mesh *** numerical and experimental results indicate that gear wear does not change the structure of the spectrum,but it alters the amplitude of the meshing frequencies and their *** condition indicators,such as root-mean-square,kurtosis,and first-order meshing frequency amplitude,can be regarded as important bases for judging gear wear state.

关键词： gear wear mesh relationship mesh stiffness transmission error vibration characteristics

Quasi-Static and Dynamic Behaviors of Helical Gear System with Manufacturing Errors

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Chinese Journal of Mechanical Engineering 2018年第2期31卷 106-114页

作者： Bing Yuan Shan Chang Geng Liu Li-Yan Wu Shaanxi Engineering Laboratory for Transmissions and Controls School of Mechanical Engineering Northwestern Polytechnical University China Shipbuilding Industry Corporation 703 Institute

Time?varying mesh stiffness(TVMS) and gear errors include short?term and long?term components are the two main internal dynamic excitations for gear transmission. The coupling relationship between the two factors is usually neglected in the traditional quasi-static and dynamic behaviors analysis of gear system. This paper investigates the influence of short?term and long?term components of manufacturing errors on quasi?static and dynamic behaviors of helical gear system considering the coupling relationship between TVMS and gear errors. The TVMS, loaded static transmission error(LSTE) and loaded composite mesh error(LCMS) are determined using an improved loaded tooth contact analysis(LTCA) model. Considering the structure of shaft, as well as the direction of power flow and bearing location, a precise generalized finite element dynamic model of helical gear system is developed, and the dynamic responses of the system are obtained by numerical integration method. The results suggest that lighter loading conditions result in smaller mesh stiffness and stronger vibration, and the corresponding resonance speeds of the system become lower. Long?term components of manufacturing errors lead to the appearance of sideband frequency components in frequency spectrum of dynamic responses. The sideband frequency components are predominant under light loading conditions. With the increase of output torque, the mesh frequency and its harmonics components tend to be enhanced relative to sideband frequency components. This study can provide effective reference for low noise design of gear transmission.

关键词： Manufacturing error mesh stiffness Transmission error Loaded composite mesh error Vibration acceleration Sideband frequency