Fatigue Lifetime Study on Spiral Bevel Gears Using Finite Element Method

2010 ◽  
Author(s):  
Yuan Li ◽  
Xu Han ◽  
Nanhai Ye ◽  
Jiehong Yuan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fatigue Lifetime ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Spiral Bevel ◽  
Element Method

Deformations and Stresses in Face-Hobbed Spiral Bevel Gears

2011 ◽  
Author(s):  
Vilmos V. Simon
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Nodal Point ◽  
Design Parameters ◽  
Element Discretization ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Tooth Surfaces ◽  
Spiral Bevel ◽  
Element Method

In this study an attempt is made to predict displacements and stresses in face-hobbed spiral bevel gears by using the finite element method. A displacement type finite element method is applied with curved, 20-node isoparametric elements. A method is developed for the automatic finite element discretization of the pinion and the gear. The full theory of the generation of tooth surfaces of face-hobbed spiral bevel gears is applied to determine the nodal point coordinates on tooth surfaces. The boundary conditions for the pinion and the gear are set automatically as well. A computer program was developed to implement the formulation provided above. By using this program the influence of design parameters and load position on tooth deflections and fillet stresses is investigated. On the basis of the results, obtained by performing a big number of computer runs, by using regression analysis and interpolation functions, equations for the calculation of tooth deflections and fillet stresses are derived.

scholarly journals Tooth Fracture Detection in Spiral Bevel Gears System by Harmonic Response Based on Finite Element Method

2017 ◽  
Vol 2017 ◽  
pp. 1-8
Author(s):  
Yuan Chen ◽  
Rupeng Zhu ◽  
Guanghu Jin ◽  
Yeping Xiong
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Spiral Bevel Gears ◽  
Harmonic Response ◽  
Bevel Gears ◽  
Tooth Fracture ◽  
Spiral Bevel ◽  
Element Method

Spiral bevel gears occupy several advantages such as high contact ratio, strong carrying capacity, and smooth operation, which become one of the most widely used components in high-speed stage of the aeronautical transmission system. Its dynamic characteristics are addressed by many scholars. However, spiral bevel gears, especially tooth fracture occurrence and monitoring, are not to be investigated, according to the limited published issues. Therefore, this paper establishes a three-dimensional model and finite element model of the Gleason spiral bevel gear pair. The model considers the effect of tooth root fracture on the system due to fatigue. Finite element method is used to compute the mesh generation, set the boundary condition, and carry out the dynamic load. The harmonic response spectra of the base under tooth fracture are calculated and the influence of main parameters on monitoring failure is investigated as well. The results show that the change of torque affects insignificantly the determination of whether or not the system has tooth fracture. The intermediate frequency interval (200 Hz–1000 Hz) is the best interval to judge tooth fracture occurrence. The best fault test region is located in the working area where the system is going through meshing. The simulation calculation provides a theoretical reference for spiral bevel gear system test and fault diagnosis.

Contact Stress Analysis of Spiral Bevel Gears Using Finite Element Analysis

1995 ◽  
Vol 117 (2A) ◽  
pp. 235-240 ◽  
Author(s):  
G. D. Bibel ◽  
A. Kumar ◽  
S. Reddy ◽  
R. Handschuh
Keyword(s):  
Finite Element ◽  
Stress Analysis ◽  
Element Model ◽  
Contact Boundary ◽  
Tooth Surface ◽  
Solution Technique ◽  
Element Analysis ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Spiral Bevel

A procedure is presented for performing three-dimensional stress analysis of spiral bevel gears in mesh using the finite element method. The procedure involves generating a finite element model by solving equations that identify tooth surface coordinates. Coordinate transformations are used to orientate the gear and pinion for gear meshing. Contact boundary conditions are simulated with gap elements. A solution technique for correct orientation of the gap elements is given. Example models and results are presented.

scholarly journals Theoretical and Experimental Study on Contact Characteristics of Spiral Bevel Gears under Quasi-Static and Large Loading Conditions

2020 ◽  
Vol 10 (15) ◽  
pp. 5109 ◽  
Author(s):  
Yimeng Fu ◽  
Yaobing Zhuo ◽  
Xiaojun Zhou ◽  
Bowen Wan ◽  
Haoliang Lv ◽  
...  
Keyword(s):  
Finite Element ◽  
Performance Test ◽  
Element Model ◽  
Transmission Error ◽  
Tooth Surface ◽  
Tooth Contact Analysis ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Transition Surface ◽  
Spiral Bevel

The precise mathematical model for the tooth surface and transition surface of spiral bevel gears is derived. Taking a pair of spiral bevel gears of a heavy vehicle as an example of calculation and analysis, a finite element model of spiral bevel gears transmission system is established. Through the finite element tooth contact analysis under quasi-static loading and high loading condition, the influences of torque on the root stress distribution, contact stress, and transmission error are discussed, and the results are compared with the empirical formula results. Finally, a contact performance test bench of spiral bevel gear pair is developed, then the root bending stress, contact pattern, and transmission error tests are carried out. These experiment results are compared with analyzed ones, which showed a good agreement.

Meshing performance of spiral bevel gear with different loads and modules considering edge contact by finite element method

2019 ◽  
Vol 43 (3) ◽  
pp. 322-332
Author(s):  
Xiangying Hou ◽  
Zongde Fang ◽  
Xuezhong Fu ◽  
Xijin Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Contact Stress ◽  
Load Sharing ◽  
Transmission Error ◽  
Contact Forces ◽  
Gear Pair ◽  
Edge Contact ◽  
Spiral Bevel ◽  
Element Method

To analyze the edge contact of spiral bevel gears, owing to its effect on meshing performance, batch processing is performed based on a static solver and the finite element method (FEM) because of its computational speed advantage. A series of programs automatically perform the functions of modeling, analysis, and extraction of performance indexes. Starting from the entrance meshing position to the exit meshing position, a series of models was built and analyzed to describe the whole meshing process of the gear pair. For a specific gear pair, contact and bending stresses, contact stress patterns, loaded transmission errors, contact forces, and load sharing coefficients are calculated under five different load conditions and the change rules are summarized. Edge contact phenomenon occurs as the load increases to a critical value, resulting in a sharp increase in contact stress. As the load increases, the load sharing coefficient decreases gradually and the absolute value of transmission error increases, but the fluctuation of transmission error first decreases and then increases. In addition, the effect of modules is discussed and the results show that large modulus will decrease stress, contact ratio, and edge contact, but there is a certain module to minimize the fluctuation of transmission error.

Transient Thermal Analysis of Spiral Bevel Gears under Loss of Lubrication

2010 ◽  
Vol 34-35 ◽  
pp. 566-570 ◽  
Author(s):  
Yu Tao Yan ◽  
Zhi Li Sun ◽  
R.J. Guo
Keyword(s):  
Thermal Analysis ◽  
Finite Element ◽  
Normal Load ◽  
Gear Tooth ◽  
Tooth Surface ◽  
Transient Temperature ◽  
Tooth Contact ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Spiral Bevel

Based on loaded tooth contact analysis of spiral bevel gears, the thermal analysis model and finite element model of spiral bevel gears were established by making use of tribological theory and thermal transferring theory. The distribution on transient temperature field of spiral bevel gears under loss of lubrication was found via finite element methods. The results are as follows: the sliding speed and normal load had obvious influence on friction heat. Transient temperature peak value of the gear tooth was obtained in midpoint position of the tooth contact path. The temperature gradient increases with the increase of meshing times of gear tooth, the transient temperature of the gear tooth surface had increased 32°C in one minute. However, the transient temperature of the tooth surface had increased 232°C in three minutes.

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