Article
Engineering, Mechanical
Hongbo Yang, Wenku Shi, Zhiyong Chen, Niancheng Guo
Summary: The mesh stiffness characteristics of gear pairs are important for their transmission error, vibration, and noise level. This paper proposes an improved calculation method that considers both accuracy and efficiency. By enhancing the potential energy method and traditional slicing method, the mesh stiffness of involute spur gear pairs and involute helical gear pairs is calculated. The analysis results demonstrate that this analytical method is closer to the finite element method compared to traditional approaches, and has a relatively low calculation cost.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2022)
Article
Engineering, Mechanical
Andreas Beinstingel, Michael Keller, Michael Heider, Burkhard Pinnekamp, Steffen Marburg
Summary: This paper aims to present an efficient and accurate method for evaluating the current state of gear mesh stiffness using Isogeometric Analysis combined with analytical approach. The exact tooth design and possible mesh interference under load are considered before testing the developed methodology against established research and software tools for validation. The comparison and discussion of modeling details are provided based on the testing results.
MECHANISM AND MACHINE THEORY
(2021)
Article
Engineering, Mechanical
Heng Xia, Fanshan Meng, Xin Zhang, Jiaxu Wang, Yulin Jin
Summary: The microscopic topography of tooth surface affects the nonlinear dynamic characteristics of the gear system. This study derives time-varying meshing stiffness (TVMS) and time-varying backlash with fractal characteristics based on fractal theory. The results show that fractal dimension and characteristic scale coefficient have significant effects on the dynamic characteristics of the gear system.
NONLINEAR DYNAMICS
(2023)
Article
Engineering, Electrical & Electronic
Yiyi Kong, Hong Jiang, Ning Dong, Jun Shang, Pengfei Yu, Jun Li, Manhua Yu, Lan Chen
Summary: This paper derives the calculation method of gear time-varying mesh stiffness for coupling faults of pitting and cracking based on the energy method and considering the coupling between teeth. It establishes the dynamics model of two-stage gear transmission system with coupling faults and studies the influence of coupling faults on gear time-varying mesh stiffness and dynamic characteristics. The accuracy of the proposed method is verified by experiments and it provides an effective reference for the diagnosis of faulty gears.
Article
Engineering, Mechanical
Yanan Wang, Hao Wang, Keyuan Li, Baijie Qiao, Zhixian Shen, Xuefeng Chen
Summary: This paper investigates the influence of time-varying mesh stiffness (TVMS) on the vibration of gear transmission systems, focusing on spiral bevel gears. The analytical models for perfect and cracked gears are established to evaluate TVMS, and the effects of crack length and depth on mesh stiffness and dynamic response are studied. Experimental results confirm the significant impact of tooth crack faults on the gear response.
MECHANISM AND MACHINE THEORY
(2023)
Article
Engineering, Mechanical
Changjiang Zhou, Xiaojie Dong, Hongbing Wang, Zhongming Liu
Summary: This work proposes a time-varying mesh stiffness model for a modified gear-rack drive with tooth friction and wear. The model considers the direction variation of tooth friction and wear influence on mesh stiffness and the time-varying nature of the gear-rack drive. The model is verified using the finite element method and results show that the gear-rack drive's time-varying mesh stiffness decreases with increasing tooth friction and wear. Further investigations reveal that optimizing the modification coefficient and pressure angle can enhance the bearing capacity and dynamic performance of the gear-rack drive.
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
(2022)
Article
Engineering, Mechanical
Siyu Chen, Rulong Tan, Xiaodong Guo, Weiqing Zhang, Ruizhi Shu
Summary: This study proposes a fast and accurate calculation method for the time-varying mesh stiffness (TVMS) of a modified gear. By introducing B-spline surfaces, a semi-analytical instantaneous single mesh stiffness (SMS) model is derived using tooth contact analysis and energy conservation principle. The TVMS calculation method is obtained through additional deformation compatibility condition and force balance principle. The comparison with the finite element method (FEM) shows that the proposed method can accurately and quickly solve the TVMS.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
(2023)
Article
Engineering, Mechanical
Fei Jiang, Kang Ding, Guolin He, Yalin Sun, Lihui Wang
Summary: The study proposes a model combining lumped parameter-model of planetary gear train and finite-element-model of flexible housing to diagnose crack faults, achieving good consistency in crack fault frequency features, which effectively validates the proposed models. Key fault features locating at resonance modulation sidebands are summarized as effective indicators for crack diagnosis.
MECHANISM AND MACHINE THEORY
(2021)
Article
Engineering, Mechanical
Lantao Yang, Liming Wang, Wennian Yu, Yimin Shao
Summary: This paper proposes an improved mesh stiffness calculation model for cracked gears, considering the crack opening state by re-evaluating the effective compression section and the neutral layer. The study shows that the proposed model achieves higher accuracy compared to the traditional model, with increasing precision as the crack grows.
ENGINEERING FAILURE ANALYSIS
(2021)
Article
Engineering, Mechanical
Shuai Mo, Xiaosong Hu, Dongdong Wang, Heyun Bao, Guojian Cen, Yunsheng Huang
Summary: Based on the energy method, a time-varying mesh stiffness solution model of the gear pair is established, and a dynamics model of the gear transmission system is built. The sensitivity of the vibration signal and its response is analyzed using wavelet transform and statistical indicators. The results show that cracks promote the effect of friction on the mesh stiffness as they enter the mesh, and friction will increase the vibration displacement. Cracks cause vibration displacement to produce vibration shock, and the wavelet diagram at the crack becomes bright. Kurtosis is the most effective indicator to determine the crack damage.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART K-JOURNAL OF MULTI-BODY DYNAMICS
(2023)
Article
Engineering, Mechanical
Zhixian Shen, Laihao Yang, Baijie Qiao, Wei Luo, Xuefeng Chen, Ruqiang Yan
Summary: In this study, a model of mesh relationship with gear wear is established, and the vibration characteristics of gear wear are investigated. The results indicate that gear wear does not change the structure of the spectrum, but it alters the amplitude of the meshing frequencies and their sidebands. Several condition indicators can be used as important bases for judging the gear wear state.
FRONTIERS OF MECHANICAL ENGINEERING
(2022)
Article
Engineering, Mechanical
Fanshan Meng, Heng Xia, Xin Zhang, Jiaxu Wang
Summary: A new tooth pitting modeling method based on matrix equation is proposed in this study, which can generate irregular shape pitting and customize the depth and shape accuracy of pits easily, making it more suitable for practical situations.
ENGINEERING FAILURE ANALYSIS
(2022)
Article
Engineering, Mechanical
Qi Huang, Wen-cheng Tang, Ru-xin Lu, Jun-jie Xie, Kai Wu
Summary: This study investigates the geometric phase difference of a spur gear multi-state mesh system corresponding to two-side impact, and finds that the asymmetry phenomenon in different meshing states significantly affects the nonlinear characteristics of the back-side impact system.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2022)
Article
Engineering, Mechanical
Zi Wang, Caichao Zhu
Summary: Due to the changing number of rolling elements in the load zone, rolling element bearings exhibit load-dependence and varying-compliance with the cage rotation. A bearing enhanced excitation force model is developed to capture the non-linear varying compliance excitation in the gear transmission system, considering various dynamic excitations. An advanced iterative numerical method is introduced to accurately update the excitations caused by load-dependent and time-varying nonlinearities inside the system. The effects of bearing load-dependence and varying compliance on the system's nonlinear vibration behaviors are investigated.
NONLINEAR DYNAMICS
(2023)
Article
Acoustics
Shenghua Xie, Qungui Du, Yuhang Hu
Summary: The influence of misalignment errors on the dynamic behavior of gear systems was studied by analyzing a dynamic model. The results showed that the time-varying property of misalignment errors led to richer nonlinear characteristics in the model and increased the likelihood of sub-harmonic resonance and contact loss.
JOURNAL OF VIBRATION AND CONTROL
(2023)