Influence of Pressure Angle on Tooth Surface Contact Stress of the Asymmetric Gear with Double Pressure Angles Meshing Beyond the Pitch Point

2017 ◽  
pp. 253-259
Author(s):  
Xiulian Li ◽  
Jiangxin Yang ◽  
Xusong Xu ◽  
Wei Liu ◽  
Xiaofang Shi ◽  
...  
Keyword(s):  
Contact Stress ◽  
Tooth Surface ◽  
Pressure Angle ◽  
Surface Contact

182 Tooth Surface Contact Stress of the Normalized Conical Involute Gear

2012 ◽  
Vol 2012.47 (0) ◽  
pp. 170-171
Author(s):  
Tomoyuki TAMAMIZU ◽  
Tatsuya OHMACHI ◽  
Hidenori KOMATSUBARA
Keyword(s):  
Contact Stress ◽  
Tooth Surface ◽  
Involute Gear ◽  
Surface Contact

scholarly journals Analysis of Tooth Surface Contact Stress of Involute Spur Gear

2021 ◽  
Vol 2133 (1) ◽  
pp. 012037
Author(s):  
Yusheng Zhai ◽  
Jie Mu ◽  
Ruiguang Yun ◽  
Siran Jia ◽  
Jianfeng En ◽  
...  
Keyword(s):  
Finite Element ◽  
Finite Element Simulation ◽  
Contact Stress ◽  
Simulation Analysis ◽  
Spur Gear ◽  
Tooth Surface ◽  
Analysis Model ◽  
Element Analysis ◽  
Element Simulation ◽  
Surface Contact

Abstract Through the establishment of a pair of spur gear contact models, based on Hertz contact theory, the tooth surface contact stress is calculated; then the Ansys finite element analysis software is used to simulate and analyse the stress distribution. Through the analysis and comparison of the two results, it is proved that the contact stress calculated by Hertz theory is relatively small, which is close to the results of the finite element simulation analysis. Theoretical calculation can verify the accuracy of the finite element simulation analysis model, and the finite element simulation analysis provides an effective way to accurately calculate the contact stress of the tooth surface.

Finite Element (FE) Analysis of Meshing Performance of a Theoretical Assembling Symmetrical Bevel Gear Differential

2012 ◽  
Vol 152-154 ◽  
pp. 753-758
Author(s):  
Song Deng ◽  
Lin Hua ◽  
Xing Hui Han ◽  
Song Huang
Keyword(s):  
Contact Stress ◽  
Planetary Gear ◽  
Transmission Error ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Fe Model ◽  
End Effect ◽  
Software Environment ◽  
Surface Contact ◽  
Gear Differential

The aim in this paper is to analyze tooth surface contact stress and transmission errors, verify existence of tooth end effect and discuss symmetry of symmetrical bevel gear differential (SBGD), etc. With this aim, a 3D elastic FE model of SBGD is established under the ANSYS software environment and its meshing characteristic is determined. Starting from here, by analyzing stress and circumferential displacement of tooth, the phenomena of stress concentration is acquired; the distribution of tooth surface contact stress is studied; tooth end effect is confirmed; transmission error is assessed. The analysis is ended by assessing the symmetry of SBGD. Research results provide valuable guidelines for the design of SBGD. The developing model method proposed in this paper makes it possible to study other complex gear mechanisms such as planetary gear system.

scholarly journals Analysis and Optimization of Tooth Surface Contact Stress of Gears with Tooth Profile Deviations, Meshing Errors and Lead Crowning Modifications Based on Finite Element Method and Taguchi Method

Metals ◽  
2020 ◽  
Vol 10 (10) ◽  
pp. 1370
Author(s):  
Qiang Li ◽  
Liyang Xie
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Taguchi Method ◽  
Contact Stress ◽  
Influence Factors ◽  
Optimal Combination ◽  
Tooth Surface ◽  
Single Factor ◽  
Fem Model ◽  
Influence Degree

Based on the three-dimensional (3D) finite element method (FEM) and Taguchi method (TM), this paper analyzes the tooth surface contact stress (TSCS) of spur gears with three different influence factors: tooth profile deviations (TPD), meshing errors (ME) and lead crowning modifications (LCM), especially researching and analyzing the interactions between TPD, ME and LCM and their degree of influence on the TSCS. In this paper, firstly, a 3D FEM model of one pair of engaged teeth is modeled and the mesh of the contact area is refined by FEM software. In the model, the refined area mesh and the non-refined area mesh are connected by multi-point constraint (MPC); at the same time, in order to save the time of the FEM solution on the premise of ensuring the solution’s accuracy, the reasonable size of the refined area is studied and confirmed. Secondly, the TSCS analyses of gears with one single influence factor (other factors are all ideal) are carried out. By inputting the values of different levels of one single factor into the FEM model, especially using the real measurement data of TPD, and conducting the TSCS analysis under different torques, the influence degree of one single factor on TSCS is discussed by comparing the ideal model, and it is found that when the influence factors exist alone, each factor has a great influence on the TSCS. Finally, through TM, an orthogonal test is designed for the three influence factors. According to the test results, the interactions between the influence factors and the influence degree of the factors on the TSCS are analyzed when the three factors exist on the gear at the same time, and it is found that the TPD has the greatest influence on the TSCS, followed by the lead crowning modified quantity. The ME is relatively much small, and there is obvious interaction between ME and LCM. In addition, the optimal combination of factor levels is determined, and compared with the original combination of a gear factory, we see that the contact fatigue performance of the gear with the optimal combination is much better. The research of this paper has a certain reference significance for the control of TPD, ME and LCM when machining and assembling the gears.

Bifurcation and Erosion of Safe Basin for a Spur Gear System

2018 ◽  
Vol 28 (14) ◽  
pp. 1830048 ◽  
Author(s):  
Jianfei Shi ◽  
Xiangfeng Gou ◽  
Lingyun Zhu
Keyword(s):  
Gear System ◽  
Phase Portraits ◽  
Tooth Surface ◽  
Contact Deformation ◽  
System Behavior ◽  
Coexisting Attractors ◽  
Initial Values ◽  
Surface Contact ◽  
System Vibration ◽  
Safe Basin

Tooth surface contact deformation is part of the main causes for gear system vibration. The safety region of the single-stage spur system vibration is established based on the tooth surface contact deformation. Safe basin and its erosion are calculated numerically according to the safety region as the system control parameters are varied. The basin of attraction in the safe basin is computed by combining the simple cell-to-cell method. Vibration safety and global dynamics of the gear system are investigated. Some bifurcations and mechanisms of the erosion of safe basin are studied by using phase portraits, Poincaré maps, bifurcation diagrams under multi-initial values and top Lyapunov exponents (TLE). The sensitivity of system behavior and bifurcation to initial values are discussed as well. Hidden bifurcating points and attractors are revealed. To get a better understanding of the sensitivity of the system behavior to initial values, a bifurcation dendrogram under multi-initial values is designed. It is found that there is the erosion of safe basin existing in the examining area. Both vibration amplitude changing of coexisting attractors and appearing or disappearing of coexisting attractors are the main causes for the erosion of the safe basin. Bifurcation of the system behavior is selective to initial values. With varying frequency, backlash and comprehensive transmission error, the period-1 response gradually bifurcates under multi-initial conditions and evolves into other new periodic responses that coexist with the period-1 response. The new coexisting response has a key effect on the erosion of the safe basin. The study is helpful to the optimization design of the gear system and the control of the system behavior.

Finite Element Analysis for Gear Contact Based on UG and ABAQUS

2013 ◽  
Vol 442 ◽  
pp. 229-232 ◽  
Author(s):  
Li Mei Wu ◽  
Fei Yang
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Contact Stress ◽  
Three Dimensional ◽  
Element Model ◽  
Tooth Surface ◽  
Element Analysis ◽  
Tooth Width ◽  
Gear Contact ◽  
Maximum Contact

According to the cutting theory of involute tooth profile, established an exact three-dimensional parametric model by UG. Used ABAQUS to crate finite element model for gear meshing. After simulated the meshing process, discussed the periodicity of the tooth surface contact stress. Based on the result of finite element analysis, made a comparison of the maximum contact stress between finite element solution and Hertz theoretical solution, analyzed the contact stress distribution on tooth width, and researched the effect of friction factor on contact stress. All that provided some theoretical basis for gear contact strength design.

Investigation of Tool Errors and Their Influences on Tooth Surface Topography for Face-Hobbed Hypoid Gears

2019 ◽  
Vol 142 (4) ◽  
Author(s):  
Chengcheng Liang ◽  
Chaosheng Song ◽  
Caichao Zhu ◽  
Yawen Wang ◽  
Siyuan Liu ◽  
...  
Keyword(s):  
Surface Topography ◽  
Rake Angle ◽  
Tooth Surface ◽  
Maximum Deviation ◽  
Angle Error ◽  
Hypoid Gears ◽  
Pressure Angle ◽  
Deviation Analysis ◽  
Surface Deviation ◽  
The Impact

Abstract Tool errors are inevitable in an actual gear-manufacturing environment and may directly affect the accuracy of machined tooth surfaces. In this paper, tool errors including spheric radius, pressure angle, rake angle, regrind angle, and cutting side relief angle errors for three-face blade are defined and considered to establish the accurate tooth surface mathematical model for face-hobbed hypoid gears based on the manufacturing process and the meshing theory. The simulation flowchart for tooth surface modeling and tooth surface topography deviation analysis are proposed and performed. Results show that the tooth surface deviation is positive with positive spheric radius and rake angle errors and contrary results can be found for other three tool errors. In addition, the impact of the pressure angle error is the strongest. In addition, the rake angle error has the weakest effect and the influence of spheric radius error on the tooth surface deviation is unsubstantial. For location of tooth surface deviation, the maximum deviation is at the top on the heel and the minimum deviation is at the middle on the toe for spheric radius error. The maximum and minimum deviations are at the top and the middle tooth on the heel for other factors, respectively.

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