Study of vibration for spur gears of tooth profile modification and experimental validation of modification method

2017 ◽  
pp. 527-538
Author(s):  
C. Zhang ◽  
H. Liu ◽  
C. W. Yao ◽  
Y. Li
Keyword(s):  
Experimental Validation ◽  
Tooth Profile ◽  
Spur Gears ◽  
Profile Modification ◽  
Tooth Profile Modification ◽  
Modification Method

Approach of Selecting Profile Modifications Curves for Spur Gears

2012 ◽  
Vol 499 ◽  
pp. 138-142
Author(s):  
Zhe Yuan ◽  
Yu Guo
Keyword(s):  
Transmission Error ◽  
Tooth Profile ◽  
Spur Gears ◽  
Profile Modification ◽  
Tooth Profile Modification ◽  
Straight Line ◽  
Meshing Process

The tooth profile modification can generally choose straight line modification, parabolic modification and arc modification. In order to accurately determine the tooth profile modification curves, basing on analysis of the vibration that effected by transmission error, a pair of gears meshing process is simulated with FEM approach. Aiming at reducing the fluctuation of transmission error, the transmission error curves of straight line modification, parabolic modification and arc modification with the same modification parameters are plotted, and the best modifications curve is obtained. The research shows that the approach is accurate to choose the best modification curve, and reduce the fluctuation of transmission error greatly. The approach illustrated in this paper provides a new way for designing the noiseless gears.

scholarly journals A New Tooth Profile Modification Method of Cycloidal Gears in Precision Reducers for Robots

2020 ◽  
Vol 10 (4) ◽  
pp. 1266 ◽  
Author(s):  
Tianxing Li ◽  
Xiaotao An ◽  
Xiaozhong Deng ◽  
Jinfan Li ◽  
Yulong Li
Keyword(s):  
Tooth Profile ◽  
Machining Parameters ◽  
Angle Distribution ◽  
Profile Curve ◽  
Force Transmission ◽  
Transmission Performance ◽  
Profile Modification ◽  
Pressure Angle ◽  
Tooth Profile Modification ◽  
Modification Method

The tooth profile modification of cycloidal gears is important in the design and manufacture of precision reducers or rotary vector (RV) reducers for robots. The traditional modification design of cycloidal gears is mainly realized by setting various machining parameters, such as the size and center position of the grinding wheel. The traditional modification design has some disadvantages such as complex modification calculation, uncontrollable tooth profile curve shape and unstable meshing performance. Therefore, a new tooth profile modification method is proposed based on the consideration of the comprehensive influences of pressure angle distribution, meshing backlash, tooth tip and root clearance. Taking the pressure angle and modifications of tooth profile as the parameters of the modification function and the meshing backlash of gear teeth as constraints, the mathematical model for tooth profile modifications is built. The modifications are superimposed on the normal direction of the theoretical profile—the force transmission direction. The mathematical relationship between the modifications and the pressure angle distribution, which determines the force transmission performance, is established. Taking the straight line method, cycloid method and catenary method as examples, by means of the tooth contact analysis technology, the transmission error and minimum meshing backlash, which reflects the lost motion, of the newly modified profile are analyzed and verified. This proposed method can flexibly control the shape change of the modification profile and accurately pre-control the transmission accuracy of the cycloid-pin gear. It avoids the disadvantages of traditional modification methods, such as uncontrollable tooth profile shape and unstable meshing accuracy. The method allows good meshing characteristics, high force transmission performance and more precise tooth profile curve. The study provides a new design method of the modified profile of cycloidal gears.

Three-Dimensional Spatial Meshing Quality Pre-Control of Harmonic Drive Based on Double-Circular-Arc Tooth Profile

2019 ◽  
Author(s):  
Faxiang Xie ◽  
Jing Zhang ◽  
Yinan Han ◽  
Canyuan Wu ◽  
Zhengyang Zhao ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Transmission Error ◽  
Tooth Profile ◽  
Test Method ◽  
Harmonic Drive ◽  
Circular Arc ◽  
Current Harmonic ◽  
Profile Modification ◽  
Tooth Profile Modification ◽  
Modification Method

Abstract In the current harmonic drive tooth profile design, the three-dimensional spatial spline tooth meshing is not fully considered, which results in problems such as inconsistence of harmonic gearing backlash, low loading capacity, low transmission accuracy and even meshing tooth profile interference in actual machining of the harmonic reducer. Based on this, this paper proposes a harmonic drive meshing quality test method at extremely low input speed based on tooth profile of double–circular-arc profile (DCTP). And combined with the theory of spatial multi-tooth meshing, the corresponding pre-control of different tooth profile modification is analyzed. The optimized non-interference three-dimensional spatial tooth profile modification method is proposed, which effectively reduces its transmission error.

A Further Study on High Contact Ratio Spur Gears in Mesh With Double Scope Tooth Profile Modification

2007 ◽  
Author(s):  
Jiande Wang ◽  
Ian Howard
Keyword(s):  
Weight Ratio ◽  
Transmission Error ◽  
Tooth Profile ◽  
Spur Gears ◽  
Contact Ratio ◽  
Profile Modification ◽  
Tooth Profile Modification ◽  
Major Interest ◽  
Higher Power ◽  
Lower Transmission

Compared to the commonly used Low Contact Ratio Spur Gears (LCRG), High Contact Ratio Spur Gears (HCRG) can provide higher power to weight ratio, and can also achieve smoother running with lower Transmission Error (TE) variations. To achieve the benefits of High Contact Ratio Spur Gears (HCRG), its tolerance to manufacturing errors and elastic deformation has to be increased. After various attempts by previous researchers, double scope tooth profile modifications have been seen as being of major interest showing great potential for improvements in most applications. Research presented in this paper concentrated on providing further proofs and verifications on the topic by using modern numerical methods and comprehensive analysis. Additionally, a general Bulk Tooth Rotation (BTR) type tooth profile modification is introduced and applied to the High Contact Ratio Spur Gears (HCRG) in order to improve the tooth profile design and some common higher order analysis is shown allowing further comments to be made.

scholarly journals The Optimal Design Method and Standardized Mathematical Model of Tooth Profile Modification of Spur Gear

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Wenjie Mei ◽  
Jingzhou Na ◽  
Fan Yang ◽  
Guike Shen ◽  
Jiawei Chen
Keyword(s):  
Mathematical Model ◽  
Spur Gear ◽  
Tooth Profile ◽  
Element Analysis ◽  
Profile Modification ◽  
Transmission Errors ◽  
Gear Drive ◽  
Tooth Profile Modification ◽  
Modification Method ◽  
Meshing Process

The paper reports a tooth profile modification method of spur gear. After establishing a standardized mathematical model for optimized tooth profile and simulating meshing process with ANSYS finite element analysis, we obtained 625 groups of gear models with different modification parameters. The group with minimum transmission errors owns the optimal parameters. Genetic algorithm was adopted in the entire process for the purpose of reducing the variation of transmission errors in meshing process. The arc and parabolic modification were doing the same processing. After comparing the transmission errors fluctuation produced by the meshing process of gear of nonmodification with arc modification and parabolic modification, we found that the best modification effects of arc modification and parabolic modification were both reduced by 90%. The modification method makes the gear drive process more stable and efficient, and it is also promising in general application for gear drive.

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