Investigation of the Meshing Conditions of a Flat Wheel Harmonic Gear Drive

2007 ◽  
Author(s):  
Robert Krisch
Keyword(s):  
Axial Direction ◽  
Tangential Component ◽  
Face Gear ◽  
Gear Drive ◽  
Wave Generator ◽  
The Face ◽  
Rotating Wave ◽  
Acting Force ◽  
Different Levels ◽  
Flexible Member

The function principle of the flat wheel harmonic gear drive is similar to the basic principle of the classical harmonic drives. The flexible and the solid gear of the drive are coaxial flat wheels. The rotating wave generator deforms periodically and elastically different portions of an annular face gear on the flexible member in axial direction into engagement with teeth on an annular face gear on the solid member. The numbers of teeth of the face gears are different. An analytical method is introduced, that investigates meshing conditions of flat-wheel harmonic drives. The numbers of the connected teeth taking part in the load-transmission and the tangential component of the acting force on them in the range of tooth engagement are calculated. It depends on the loading torque, so calculations were launched at different levels of torques in case of various parameters. The tooth flanks were approximated by planes. Results are compared with the results of calculations based on finite element analyses.

Research on Meshing Characteristics for Face Gear with Arcuate Tooth

2011 ◽  
Vol 86 ◽  
pp. 39-42
Author(s):  
Xiang Wei Cai ◽  
Zong De Fang ◽  
Jin Zhan Su
Keyword(s):  
Contact Analysis ◽  
Tooth Surface ◽  
Face Gear ◽  
Tooth Contact Analysis ◽  
Surface Equation ◽  
Transmission Errors ◽  
Gear Drive ◽  
Parabolic Function ◽  
The Face ◽  
Meshing Characteristics

The generating of face gear with arcuate tooth has been proposed in this paper, and the meshing characteristics are investigated. Based on the concept of imaginary gear cutter, tooth surface equation has been derived, flank modification has also been considered. The transmission errors and bearing contacts of the face gear drive with arcuate tooth under different assembly conditions are investigated by applying the tooth contact analysis. The numerical results reveal that the bearing contacts are not sensitive to the errors of misalignments, and a more favorable type parabolic function of transmission errors with better symmetry and reduced amplitude may be obtained according to the modification of the face gear.

The Correction of Face Gear Tooth Flank Deviation

2012 ◽  
Vol 503-504 ◽  
pp. 1120-1124
Author(s):  
Ning Zhao ◽  
Sheng Wen Hou ◽  
Hui Guo ◽  
Hao Gao
Keyword(s):  
Gear Tooth ◽  
Three Dimensional ◽  
Correction Method ◽  
Face Gear ◽  
Gear Drive ◽  
The Face ◽  
Measuring Machine ◽  
Tooth Flank ◽  
The Mathematical Model ◽  
Generating Grinding

A orthogonal-shaft face gear drive with spur involute pinion is considered. The mathematical model of the face gear tooth flank was studied and the correction parameters was taken into account. The measurement grid schema was accomplished on the rotary projection of theoretical tooth flank, with the real tooth flank data from three-dimensional measuring machine or gear measuring center, the tooth flank deviation could be calculated. The effect of correction parameters on tooth flank deviation was investigated and the correction method for the single index generating grinding was proposed. Finally a numerical example was presented and the results show that the method proposed can decrease the tooth flank deviation.

Torsional Stability of a Face-Gear Drive System

2015 ◽  
Vol 60 (4) ◽  
pp. 1-11 ◽  
Author(s):  
Meng Peng ◽  
Hans A. Desmidt
Keyword(s):  
Perturbation Technique ◽  
Parametric Instability ◽  
Small Time ◽  
Time Varying ◽  
Contact Ratio ◽  
Face Gear ◽  
Gear Mesh ◽  
Gear Drive ◽  
The Face ◽  
Gear Contact

This paper establishes a structural dynamics model for torsional vibration of gearboxes containing a face-gear drive by considering flexibilities of gear teeth and transmission shafts. This model includes the time-varying gear mesh stiffness resulting from the unique face-gear meshing kinematics and nonunity contact ratio. The face-gear mesh-induced parametric instability phenomena are explored numerically via Floquet theory for various shaft characteristics and system inertia distributions. In addition, Tregold's approximation is employed for face-gear contact ratio calculations to avoid complex numerical computations. For design purposes, a perturbation technique is utilized to analytically predict the parametric instability boundaries for the cases with small time-varying components.

scholarly journals Mathematical model to determination of resharpening territory of Conical Hob

2014 ◽  
Vol 8 (2) ◽  
pp. 45-50
Author(s):  
Illés Dudás ◽  
Sándor Bodzás
Keyword(s):  
Mathematical Model ◽  
Critical Angle ◽  
Worm Gear ◽  
Tooth Surface ◽  
Face Gear ◽  
Axial Section ◽  
Gear Drive ◽  
The Face ◽  
Conical Worm

Based on the general mathematical model of Illés Dudás which is appropriate for mathematical modelling of production technology methods we have worked out a model for resharpening analysis of conical hob. After the hob resharpening using numerical calculations the determination of the tooth surface of face gear by cutting edges is necessary for the analysis. Based on this methods we could calculate the permissible critical angle of the hob and the profiles of the hob and the face gear in axial section. The permissible critical angle of the hob is the critical angle the hob cutting edge of which manufactured face gear profile is situated in the permissible profile error tolerance. We have worked out a new geometric conical worm gear drive that is the conical worm gear drive having arched profile. Using this mathematical model we have done resharpening analysis for the hob having arched profile and determined the permissible critical angle.

Backlash Adjustment in Plane Spiroid Gears

2006 ◽  
Author(s):  
Andrzej Gessner ◽  
Roman Staniek
Keyword(s):  
Operating Time ◽  
Simplified Model ◽  
Face Gear ◽  
Eccentric Rotation ◽  
Gear Drive ◽  
Bearing Contact ◽  
The Face ◽  
New Type ◽  
Spiroid Gear ◽  
Industry Experience

Plane spiroid gears currently applied in feed motion rotary drives are roughly described in this paper. The theoretical possible methods of backlash adjustment in this kind of gear are mentioned. Referring to industry experience the only applied method, which uses the eccentric, is described. Its advantages as well as disadvantages related to operation and wearing process are pointed. The disadvantages are mainly connected with changing the gear axis distance while rotating eccentric in order to adjust backlash. A graph depicting the movements of the worm in the direction of backlash reducing and in the perpendicular one, which changes the axis distance, is given. In order to provide some information about the influence of changing axis distance on the mating of face toothing with the worm, mathematical model was created. Some effects of numerical calculations based on that model and showing the bearing contact of the face gear drive supplied with eccentric backlash adjustment are depicted. It can be noticed, how changing the axis distance influences the bearing contact. It can be also estimate if within the chosen range of eccentric rotation the theoretical bearing contact is still acceptable to operate correct. A simplified model presenting the wearing process is also provided. It reveals that after some operating time an edge contact appears while reducing backlash. It significantly decreases the operating time till the next adjustment. There are two methods of backlash reducing described: the first is typical whilst the second is improved and proposed by the author. The advantage of the proposed method is lengthening the operating time between two backlash adjustments. In the end a new type of spiroid gear mating with double-lead worm and deprived of aforesaid disadvantages is mentioned.

Geometry design, three-dimensional modeling and kinematic analysis of orthogonal fluctuating gear ratio face gear drive

2012 ◽  
Vol 227 (4) ◽  
pp. 779-793 ◽  
Author(s):  
Chao Lin ◽  
Hai Gong ◽  
Ning Nie ◽  
Qinlong Zen ◽  
Lei Zhang
Keyword(s):  
Design Method ◽  
Angular Displacement ◽  
Three Dimensional ◽  
Angular Acceleration ◽  
Gear Ratio ◽  
Tooth Surface ◽  
Coordinate Systems ◽  
Face Gear ◽  
Gear Drive ◽  
The Face

As the current research of face gear drive cannot realize fluctuating gear ratio, a design method of orthogonal fluctuating gear ratio face gear drive is proposed. The mathematical model of orthogonal fluctuating gear ratio face gear drive is found based on the space engagement theory. The equation of the pitch curve, addendum curve and dedendum curve of face gear are derived. The design method of tooth surface of the face gear is available based on the envelope method. The conversion relationship of enveloping coordinate systems is obtained during the enveloping process of orthogonal fluctuating gear ratio face gear drive after the establishment of enveloping coordinate systems. Then combining with equation of generating surface, the tooth surface equation of the face gear is obtained. The three-dimensional model of orthogonal fluctuating gear ratio face gear is acquired on the basis of a modeling program, which is developed under the environment of VB and Solidworks (API). Furthermore, localization of the bearing contact is achieved by the manufacturing method and it is justified by the finite element method analysis result. Finally, the kinematics of the orthogonal fluctuating gear ratio face gear drive is analyzed, and the change laws of transmission ratio, angular displacement and angular acceleration of the face gear are acquired.

Kinematic Study of the Face Gear

1990 ◽  
Author(s):  
Yih-Jen Dennis Chen
Keyword(s):  
Computer Program ◽  
Mathematical Description ◽  
Design Automation ◽  
Gear Tooth ◽  
Tooth Surface ◽  
Face Gear ◽  
Gear Drive ◽  
Face Width ◽  
Kinematic Study ◽  
The Face

Abstract This paper presents the kinematic study of the face gear drive system. The study includes three different configurations which are: (1) the on-center orthogonal face gear drive, (2) the on-center non-orthogonal face gear drive, and (3) the offset orthogonal face gear drive. The mathematical description for the gear meshing and the resulting face gear tooth surface is developed. This paper also presents the criteria for detecting the limitation of the effective face width due to tooth pointing and undercutting. The technique presented is applied to develop a computer program. This design automation tool allows visualizing the gear meshing and tooth geometry of the face gear drive.

Novel profile modification methodology for moulded face-gear drives

2007 ◽  
Vol 221 (6) ◽  
pp. 715-725 ◽  
Author(s):  
M-F Tsay ◽  
Z-H Fong
Keyword(s):  
Computer Aided Design ◽  
Transmission Error ◽  
Tooth Surface ◽  
Contact Pattern ◽  
Surface Geometry ◽  
Face Gear ◽  
Profile Modification ◽  
Gear Drive ◽  
Shaping Process ◽  
The Face

Owing to modern forging and moulding technology, not only are increasing numbers of face gears being made by die, but the quality of the moulded face gear is comparable to that for gears made by a shaping process. The contact pattern of the face gear drive is designed in a manner similar to that for the bevel gear, with a localized bearing that reduces the sensitivity of axes misalignment. This paper proposes a novel profile modification methodology for the moulded face-gear drive that enhances the controllability of the contact pattern and transmission characteristics. Specifically, a skew double crowning is applied on the tooth surface of a face gear whose pinion is a standard involute helical gear. The proposed method - for which computer-aided design software for the tooth surface geometry was developed - can also separately control the bias angle and bearing ratio of the contact pattern, as well as the amplitude of transmission error. Overall, as shown here using several numerical examples, the proposed modified methodology is highly flexible.

scholarly journals Generation, TCA and Stress Analysis of the Face Gear Drive with a Tapered Involute Pinion

2020 ◽  
Vol 56 (7) ◽  
pp. 86
Author(s):  
ZHOU Ruchuan ◽  
ZHAO Ning ◽  
LI Wang ◽  
GUO Hui
Keyword(s):  
Stress Analysis ◽  
Face Gear ◽  
Gear Drive ◽  
The Face

Meshing and Bearing Analysis of Nutation Drive with Face Gear

2020 ◽  
Vol 13 (4) ◽  
pp. 352-365
Author(s):  
Guangxin Wang ◽  
Lili Zhu ◽  
Peng Wang ◽  
Jia Deng
Keyword(s):  
Contact Stress ◽  
High Efficiency ◽  
Transmission Ratio ◽  
Contact Strength ◽  
Hertz Contact ◽  
Face Gear ◽  
Compact Structure ◽  
Gear Teeth ◽  
Gear Drive ◽  
Number Of Teeth

Background: Nutation drive is being extensively investigated due to its ability to achieve a high reduction ratio with a compact structure and the potential for low vibration, high efficiency and design flexibility. However, many problems including the difficulty to process the inner bevel gear, less number of teeth in engagement and not being suitable for high-power transmission have restricted its development. Objective: The purpose of this paper is to analyze the contact strength of a patent about a new nutation drive developed based on meshing between two face gears, which has the advantages of both face gear and nutation drive, including large transmission ratio, large coincidence, small size, compact structure and strong bearing capacity. Methods: Based on the meshing principle and basic structure of the nutation face gear drive, the contact strength of nutation face gear transmission is analyzed by the Hertz contact analysis method and FEM method. Results: The maximum stress values of nutation face gear teeth are compared by two methods, which verify the accuracy of Hertz contact analytical method in calculating the contact strength of nutation face gear teeth. Furthermore, nine groups of three-dimensional models for the nutation face gear drive with a transmission ratio of 52 and different cutter parameters are established. Conclusion: The study analyzes the contact stress of fixed and rotary face gears in meshing with planetary face gears, and obtains the distribution law of contact stress and the influence of the number of teeth and parameters of the cutter on the load-carrying capacity.

Sign in / Sign up

Export Citation Format

Share Document