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.

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 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.

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.

Actual Tooth Contact Analysis of Straight Bevel Gears

2015 ◽  
Vol 137 (9) ◽  
Author(s):  
M. Kolivand ◽  
H. Ligata ◽  
G. Steyer ◽  
D. K. Benedict ◽  
J. Chen
Keyword(s):  
Transmission Error ◽  
Contact Analysis ◽  
Bevel Gear ◽  
Tooth Contact Analysis ◽  
Third Order ◽  
Tooth Contact ◽  
New Approach ◽  
Bevel Gears ◽  
The Difference ◽  
Finishing Processes

Theoretically, spherical involutes are used as one of the base topographies for straight bevel gears. Actual bevel gears, however, have deviations from their intended topographies due to manufacturing errors, heat treatment deviations, and finishing processes. Measuring the physical parts with coordinate measuring machines (CMMs), this study proposes a new approach to capture such deviations. The measured deviations from spherical involute are expressed in form of a third-order two-dimensional (2D) polynomial function and added to the base topography to duplicate the geometry of the actual part; tooth thickness deviation is also accounted for and corrected through changing the theoretical tooth thickness. The resultant surfaces are then used to construct ease-off and surface of roll angle topographies and to perform tooth contact analysis (TCA) and calculate motion transmission error (TE). At the end a sample straight bevel gear set is measured and utilizing the proposed approach its predicted TCA is compared to the experimental TCA obtained from roll tester. The results show very good correlation between the predicted and actual TCA of the parts. Utilizing the proposed methodology, the other bevel gear base profile geometries (such as octoids) can also be analyzed. In the proposed approach, the difference between other base geometries and spherical involutes can be treated as deviations from spherical involutes and can be taken into account to perform TCA.

Simulation and Experimental Measurement of the Transmission Error of Real Hypoid Gears Under Load

2000 ◽  
Vol 122 (1) ◽  
pp. 109-122 ◽  
Author(s):  
Claude Gosselin ◽  
Thierry Guertin ◽  
Didier Remond ◽  
Yves Jean
Keyword(s):  
Measurement Data ◽  
Simulation Models ◽  
Transmission Error ◽  
Contact Analysis ◽  
Hypoid Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Hypoid Gears ◽  
Loaded Tooth Contact Analysis ◽  
Analysis Models

The Transmission Error and Bearing Pattern of a gear set are fundamental aspects of its meshing behavior. To assess the validity of gear simulation models, the Transmission Error and Bearing Pattern of a Formate Hypoid gear set are measured under a variety of operating positions and applied loads. Measurement data are compared to simulation results of Tooth Contact Analysis and Loaded Tooth Contact Analysis models, and show excellent agreement for the considered test gear set. [S1050-0472(00)00901-6]

Optimal Machine-Tool Settings for the Manufacture of Face-Hobbed Spiral Bevel Gears

2014 ◽  
Vol 136 (8) ◽  
Author(s):  
Vilmos V. Simon
Keyword(s):  
Contact Pressure ◽  
Optimization Problem ◽  
Transmission Error ◽  
Search Method ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Transmission Errors ◽  
Bevel Gears ◽  
Spiral Bevel ◽  
Loaded Tooth Contact Analysis

In this study, an optimization methodology is proposed to systematically define the optimal head-cutter geometry and machine-tool settings to simultaneously minimize the tooth contact pressure and angular displacement error of the driven gear (the transmission error), and to reduce the sensitivity of face-hobbed spiral bevel gears to the misalignments. The proposed optimization procedure relies heavily on the loaded tooth contact analysis for the prediction of tooth contact pressure distribution and transmission errors influenced by the misalignments inherent in the gear pair. The load distribution and transmission error calculation method employed in this study were developed by the author of this paper. The targeted optimization problem is a nonlinear constrained optimization problem, belonging to the framework of nonlinear programming. In addition, the objective function and the constraints are not available analytically, but they are computable, i.e., they exist numerically through the loaded tooth contact analysis. For these reasons, a nonderivative method is selected to solve this particular optimization problem. That is the reason that the core algorithm of the proposed nonlinear programming procedure is based on a direct search method. The Hooke and Jeeves pattern search method is applied. The effectiveness of this optimization was demonstrated on a face-hobbed spiral bevel gear example. Drastic reductions in the maximum tooth contact pressure (62%) and in the transmission errors (70%) were obtained.

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.

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