Tooth Contact Analysis of the Double Circular Arc Tooth Spiral Bevel Gear

2010 ◽  
Vol 44-47 ◽  
pp. 3711-3715
Author(s):  
Rui Liang Zhang ◽  
Tie Wang ◽  
Hong Mei Li
Keyword(s):  
Simulation Analysis ◽  
Contact Analysis ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Tooth Contact Analysis ◽  
Element Analysis ◽  
Tooth Contact ◽  
Circular Arc ◽  
Profile Characteristic ◽  
Spiral Bevel

Tooth contact analysis is an effective tool for meshing analysis of the double circular arc profile spiral bevel gear (DCAPSBG), as well as the basis for loading tooth contact analysis and finite element analysis. Applying the principle of tooth contact analysis (TCA) and the tooth profile characteristic of the DCAPSBG, this paper introduced and discussed the key contents and method of TCA computer programming for numerical simulation analysis of the transmission meshing quality of DCAPSBG. The TCA program developed in this paper, which had been verified by real examples, provided an effective approach for the design of DCAPSBG.

TCA Principe and Application of the Double Circular Arc Tooth Spiral Bevel Gear

2011 ◽  
Vol 121-126 ◽  
pp. 3559-3561
Author(s):  
Rui Liang Zhang ◽  
Tie Wang ◽  
Zhi Fei Wu
Keyword(s):  
Contact Analysis ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Tooth Contact Analysis ◽  
Element Analysis ◽  
Tooth Contact ◽  
Circular Arc ◽  
Mixed Programming ◽  
Spiral Bevel ◽  
Check Experiment

Tooth contact analysis (TCA) is an effective tool for meshing analysis of the double circular arc profile spiral bevel gear (DCAPSBG), and it is the basis of loading tooth contact analysis and finite element analysis. The TCA application is developed by Visual Basic and MATLAB mixed programming method, this paper compared the results of the TCA application analysis with the results of contact area check experiment on one pair of gears with given parameters. The TCA application had been verified by real experiment, this provided an effective approach for the design of DCAPSBG.

Optimization for the Dynamic Behavior of High Speed Spiral Bevel Gears

2000 ◽  
Author(s):  
Zongde Fang ◽  
Hongbin Yang ◽  
Yanwei Zhou ◽  
Xiaozhong Deng
Keyword(s):  
Dynamic Behavior ◽  
Contact Analysis ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Local Synthesis ◽  
Wide Range ◽  
Spiral Bevel ◽  
Gear Drives

Abstract A new approach for optimizing the dynamic behavior of spiral bevel gear drives has been developed. The local synthesis, tooth contact analysis (TCA) and loaded tooth contact analysis (LTCA) techniques were used to constitute the design process with feedback, by which a contact ratio being near 2.0 or 3.0 would be achieved. An improved dynamic behavior of the spiral bevel gear drives under certain operating load or a wide range of load could be obtained.

Tooth Contact Analysis and Transmission Error Optimization for Klingelnberg Spiral Bevel Gear

2013 ◽  
Vol 310 ◽  
pp. 323-327
Author(s):  
Chun Hua Guo ◽  
Wen Tong Yang ◽  
Zhi Feng Liu ◽  
Zhi Min Zhang
Keyword(s):  
Fuzzy Optimization ◽  
Optimization Method ◽  
Transmission Error ◽  
Contact Analysis ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Optimization Parameters ◽  
Spiral Bevel

The contents of the paper cover tooth contact analysis and optimization of transmission error for Klingelnberg spiral bevel gear. First, the rolling model, tooth contact analysis formulas are derived, contact area and transmission error curve is plotted. Second, the fuzzy optimization method is established to enhance the performance of the gears meshing, the optimization parameters can be confirmed to reduce transmission error. Third, an example of Klingelnberg spiral bevel gear for the illustration of the developed theory is represented.

Spiral bevel gear true tooth surface precise modeling and experiments studies based on machining adjustment parameters

2015 ◽  
Vol 229 (14) ◽  
pp. 2524-2533 ◽  
Author(s):  
Mo Shuai ◽  
Zhang Yidu
Keyword(s):  
Transmission Error ◽  
Bevel Gear ◽  
Contact Forces ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Stress Distributions ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Gear Cutting ◽  
Spiral Bevel

The true tooth surface of a spiral bevel gear is not the standard spherical involute surface, since the microscopic tooth surface varies according to machining adjustment parameters, with different tooth contact forces, stress distributions, and other intrinsic properties. Therefore, it is necessary to propose the method whose advancement and feasibility can be verified by gear cutting and contact pattern experiments, to obtain a precisely digitized true tooth surface of spiral bevel gear based on machining adjustment parameters, which will lay a solid foundation for subsequent true tooth contact analysis, transmission error analysis, gear cutting, etc.

scholarly journals A Method for Thermal Analysis of Spiral Bevel Gears

1996 ◽  
Vol 118 (4) ◽  
pp. 580-585 ◽  
Author(s):  
R. F. Handschuh ◽  
T. P. Kicher
Keyword(s):  
Three Dimensional ◽  
Contact Analysis ◽  
Heat Transfer Analysis ◽  
Maximum Pressure ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Finite Element Program ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Spiral Bevel

A modelling method for analyzing the three-dimensional thermal behavior of spiral bevel gears has been developed. The model surfaces are generated through application of differential geometry to the manufacturing process for face-milled spiral bevel gears. Contact on the gear surface is found by combining tooth contact analysis with three-dimensional Hertzian theory. The tooth contact analysis provides the principle curvatures and orientations of the two surfaces. This information is then used directly in the Hertzian analysis to find the contact size and maximum pressure. Heat generation during meshing is determined as a function of the applied load, sliding velocity, and coefficient of friction. Each of these factors change as the point of contact changes during meshing. A nonlinear finite element program was used to conduct the heat transfer analysis. This program permitted the time- and position-varying boundary conditions, found in operation, to be applied to a one-tooth model. An example model and analytical results are presented.

scholarly journals Topology Optimization of Spiral Bevel Gear for Differential

2020 ◽  
Vol 9 (3) ◽  
pp. 1205-1209
Keyword(s):  
Taguchi Method ◽  
Optimal Parameter ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Element Analysis ◽  
Differential Gear ◽  
Bending Stresses ◽  
Spiral Bevel ◽  
Time Required ◽  
Sufficient Strength

The Spiral Bevel gear used in differential should be enough stiff to resist the vibrations and stresses encountered during its operation. The gear must also have sufficient strength to bear the bending stresses occurring in the differential assembly in its course of operation. This research is typically focused in designing a differential gear with least weight and minimal stresses. The model of the gear is designed in the Solidworks version 2015 while its analysis is carried in ANSYS 14.5. The number of parameters and levels involved in designing are more; the number of probable models is too many. To choose the optimal parameter among the list of choices, TAGUCHI method along with Finite Element Analysis (FEA) is used. By application of TAGUCHI method, not only the time required to design all the probable models is reduced, but also the time required to analyze all the models is cut down. Orthogonal Array has been incorporated to change the parameters necessary for reducing the weight of the gear. To get the best possible model of gear, FEA is then performed on the designed models. This process not only saves production time, but also prevents material wastage and production cost.

Kinematical Optimization of Spiral Bevel Gears

1992 ◽  
Author(s):  
Zhang-Hua Fong ◽  
Chung-Biau Tsay
Keyword(s):  
Mathematical Model ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Tooth Contact ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Contact Patterns ◽  
Spiral Bevel ◽  
Kinematic Errors

Abstract Kinematical optimization and sensitivity analysis of circular-cut spiral bevel gears are investigated in this paper. Based on the Gleason spiral bevel gear generator and EPG test machine, a mathematical model is proposed to simulate the tooth contact conditions of the spiral bevel gear set. All the machine settings and assembly data are simulated by simplified parameters. The tooth contact patterns and kinematic errors are obtained by the proposed mathematical model and the tooth contact analysis techniques. Loaded tooth contact patterns are obtained by the differential geometry and the Hertz contact formulas. Tooth surface sensitivity due to the variation of machine settings is studied. The corrective machine settings can be calculated by the sensitive matrix and the linear regression method. An optimization algorithm is also developed to minimize the kinematic errors and the discontinuity of tooth meshing. According to the proposed studies, an improved procedure for development of spiral bevel gears is suggested. The results of this paper can be applied to determine the sensitivity and precision requirements in manufacturing, and improve the running quality of the spiral bevel gears. Two examples are presented to demonstrate the applications of the optimization model.

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