A Unified Conjugation Theory for Planar Transmission

2010 ◽  
Author(s):  
Huimin Dong ◽  
Kwun-Lon Ting ◽  
Jian Liu ◽  
Delun Wang
Keyword(s):  
General Theory ◽  
Direct Contact ◽  
Tooth Profile ◽  
Transmission Ratio ◽  
Frenet Frame ◽  
Geometric Properties ◽  
Profile Design ◽  
Center Distance

The paper presents a general and versatile model describing the kinematic and geometric properties relating the centrodes, the conjugate curves, and the path of contact in a transmission through direct contact between any bodies. From a prescribed motion transmission and a desired path of contact, the characteristics of the conjugate tooth profiles, such as sliding ratio, tooth curvature, induced tooth curvature, conjugate boundary, and interference can be explicitly expressed even before the tooth profiles are obtained. The model is made possible by expressing the path of contact with the Frenet frame on the centrodes. The paper establishes a general theory suitable for optimal tooth profile design. The model is applicable in situations with constant or various transmission ratio as well as constant or various center distance.

Tooth Profile Design for Translational Meshing Motor

2013 ◽  
Vol 365-366 ◽  
pp. 14-18
Author(s):  
Rui Hua Li
Keyword(s):  
Design Method ◽  
Coincidence Degree ◽  
Tooth Profile ◽  
Transmission Ratio ◽  
The Novel ◽  
Pressure Angle ◽  
Involute Gears ◽  
Profile Design ◽  
Center Distance ◽  
Internal Meshing

As the reason for large transmission ratio, small center distance and interference on translational motor body, the design method of involute gear for translational meshing motor was proposed. In order to get appropriate tooth profile parameters, the trail calculation considering the conditions of interference and coincidence degree were applied using the tooth profile parameters calculated from given module, number of teeth, pressure angle and modification coefficient. The internal meshing gears was designed and processed based on proposed method. The novel translational meshing motor using designed involute gears operates successfully and efficiently which testify the validity and feasibility of proposed method.

scholarly journals Computer-Aided Design of High-Contact-Ratio Gears for Minimum Dynamic Load and Stress

1993 ◽  
Vol 115 (1) ◽  
pp. 171-178 ◽  
Author(s):  
Hsiang Hsi Lin ◽  
Chinwai Lee ◽  
F. B. Oswald ◽  
D. P. Townsend
Keyword(s):  
Dynamic Load ◽  
Computer Aided Design ◽  
Numerical Procedure ◽  
Tooth Profile ◽  
Lower Sensitivity ◽  
Contact Ratio ◽  
Profile Modification ◽  
Parabolic Profile ◽  
Profile Design ◽  
Optimum Profile

This paper presents a numerical procedure for minimizing dynamic effects on high-contact-ratio gears by modification of the tooth profile. The paper examines and compares both linear and parabolic tooth profile modifications of high-contact-ratio gears under various loading conditions. The effects of the total amount of modification and the length of the modification zone were systematically studied at various loads and speeds to find the optimum profile design for minimizing the dynamic load and the tooth bending stress. Parabolic profile modification is preferred over linear profile modification for high-contact-ratio gears because of its lower sensitivity to manufacturing errors. For parabolic modification a greater amount of modification at the tooth tip and a longer modification zone are required. Design charts are presented for high-contact-ratio gears with various profile modifications operating under a range of loads. A procedure is illustrated for using the charts to find the optimum profile design.

New Tooth Profile Design of Spiral Bevel Gears with Spherical Involute

2012 ◽  
Vol 4 (19) ◽  
pp. 462-469
Author(s):  
Yang Zhaojun ◽  
Hong Zhaobin ◽  
Wang Baichao ◽  
Zhang Xuecheng
Keyword(s):  
Tooth Profile ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Profile Design ◽  
Spiral Bevel

Finish Roll Forming of Spur Gears for High Efficiency

2000 ◽  
Author(s):  
Seizo Uematsu ◽  
Masana Kato
Keyword(s):  
Plastic Deformation ◽  
High Speed ◽  
High Efficiency ◽  
Tooth Profile ◽  
Roll Forming ◽  
Spur Gears ◽  
Design Data ◽  
Constant Center ◽  
The Relationship ◽  
Center Distance

Abstract Finish roll forming under the constant center distance by forced feed of tool can be conceived as a method of eliminating errors in conventional form rolling under constant loads. This method generates a high-precision tooth profile by low-speed form rolling when a high rigid screw or cam is used as loading parts. In this study, the high-speed rolling conditions of this method for necessary to be applied in practical situations are discussed. The following conclusions are obtained. When the following design data are given (module, number of teeth, addendum modification coefficient, prescribed design precision, and material characteristics), the accuracy of rolled gear can be predicted from the relationship between the required feed for the tool and the theoretically calculated plastic deformation on the tooth profile. These conclusions are verified experimentally. For example, the tooth accuracy of rolled gears with module 5 can improve from JIS class 3 to JIS class 0 or 1 when the load Fmax is 4 to 5kN and the pitch line velocity is 7 m/min.

Study on the effects of tooth profile design parameters of rotor to performance of vacuum pump

2020 ◽  
Vol 34 (22n24) ◽  
pp. 2040141
Author(s):  
Van-The Tran ◽  
Bui Trung Thanh ◽  
Banh Tien Long ◽  
Hoang Quoc Tuan ◽  
Duc Toan Nguyen
Keyword(s):  
Vacuum Pump ◽  
Tooth Profile ◽  
Design Parameters ◽  
Tooth Root ◽  
Performance Indices ◽  
Circular Arc ◽  
Numerical Example ◽  
Design Flexibility ◽  
Profile Design ◽  
Rotor Tooth

The vacuum pump usually used traditional curves such as the circular, cycloidal curves and their combinations to construct tooth profile. However, to increase efficiency and design flexibility for the vacuum pump, a novel rotor tooth profile for Roots rotor of vacuum pumps is proposed. Which is named “CEIEC” tooth profile and orderly composed of five significant segments, a circular arc for tooth tip, an epicycloid curve with variable extension, an involute, an enveloped epicycloid curve and a conjugated circular arc for tooth root. A numerical example is presented to evaluate the performance indices for proposed vacuum pump, including the hermeticity coefficients of the rotor mesh gap and tip gap.

Design Method for Screw Forming Cutter Based on Tooth Profile Composed of Discrete Points

2015 ◽  
Vol 137 (8) ◽  
Author(s):  
Qian Tang ◽  
Yuanxun Zhang ◽  
Zhenwei Jiang ◽  
Di Yan
Keyword(s):  
Interpolation Method ◽  
Design Method ◽  
Spline Interpolation ◽  
Technical Difficulty ◽  
Spatial Location ◽  
Tooth Profile ◽  
Cooperative Motion ◽  
Location Parameters ◽  
Profile Design ◽  
Screw Rotors

The forming method has been widely used for manufacturing screw rotors with helical profile. This paper takes the manufacturing of screws for screw pumps as an example and uses the cubic spline interpolation method to obtain the tooth profile of the screw forming cutter according to the tooth profile at any end section of screws composed of discrete points and based on the principle of gearing mesh. Furthermore, this paper studies the space enveloping and geometric characteristics between the screw and cutter during the manufacturing process, combines the shape of the contact line, which is generated due to the cooperative motion of the machine tool, screw, and cutter, with spatial location parameters, and thus innovatively proposes a design method for the screw forming cutter based on discrete points, namely, the form-position geometric method (FPGM). It can be seen after comparing the proposed method with the principle of gear meshing that the cutter-workpiece enveloping solution model, simplified by the FPGM, can overcome the key technical difficulty, i.e., it is difficult to accurately calculate the cusp of the tooth curve; meanwhile, the proposed method can improve the precision of the cutter tooth profile design. Finally, the feasibility and superiority of FPGM are verified by experiments.

Modeling Research of Hypoid Gear Based on Real Machining Process

2010 ◽  
Vol 20-23 ◽  
pp. 1429-1433
Author(s):  
Xiu Ting Wei ◽  
Jing Cheng Liu ◽  
Qiang Du
Keyword(s):  
Tooth Profile ◽  
Modeling Method ◽  
Machining Process ◽  
Transmission Ratio ◽  
Hypoid Gear ◽  
Hypoid Gears ◽  
Modeling Methods ◽  
Modeling Process ◽  
Generating Method

In this paper, two modeling methods, the forming method and the generating method, for hypoid gears with two kinds of transmission ratio are discussed by simulating the actual machining process. In the generating modeling method, the tooth profile of the gear is generated by boolean algorithm step by step after creating the models of the gear blank and the cutter and then rotating around their own axis by certain degrees until the cutter is outside the gear blank completely. In contrast with the generating modeling method, the tooth profile is formed by carrying out the boolean algorithm for one time after creating the models of the gear blank and cutter seperately in the forming modeling method. Then using feature instance, all the teeth are created both in the generating modeling method and in the forming modeling method. Using the two modeling methods given in this paper, the modeling process can be shortened and the modeling precision can be improved.

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