Design and manufacturing of a novel high contact ratio internal gear with a circular arc contact path

2019 ◽  
Vol 153-154 ◽  
pp. 143-153 ◽  
Author(s):  
Yanzhong Wang ◽  
Shaoying Ren ◽  
Yuan Li
Author(s):  
Z. Chen ◽  
B. Lei ◽  
Q. Zhao

Based on space curve meshing theory, in this paper, we present a novel geometric design of a circular arc helical gear mechanism for parallel transmission with convex-concave circular arc profiles. The parameter equations describing the contact curves for both the driving gear and the driven gear were deduced from the space curve meshing equations, and parameter equations for calculating the convex-concave circular arc profiles were established both for internal meshing and external meshing. Furthermore, a formula for the contact ratio was deduced, and the impact factors influencing the contact ratio are discussed. Using the deduced equations, several numerical examples were considered to validate the contact ratio equation. The circular arc helical gear mechanism investigated in this study showed a high gear transmission performance when considering practical applications, such as a pure rolling process, a high contact ratio, and a large comprehensive strength.


2005 ◽  
Vol 161 (3) ◽  
pp. 467-477 ◽  
Author(s):  
Wei-Ya Chen ◽  
Pai-Chi Chang ◽  
Shand-Dad Liaw ◽  
Wei-Fang Chen

2012 ◽  
Vol 134 (1) ◽  
Author(s):  
T. H. Choi ◽  
M. S. Kim ◽  
G. S. Lee ◽  
S. Y. Jung ◽  
J. H. Bae ◽  
...  

In the case of internal gear pumps, the eccentricity of the outer rotor, which resembles a circular lobe, must be limited to a certain value in order to avoid the formation of cusps and loops; furthermore, the tip width of the inner rotor, which has a hypocycloid curve and an epicycloid curve, should not be allowed to exceed the limit value. In this study, we suggest that the tip width of the inner rotor be controlled by inserting a circular-arc curve between the hypocycloid and epicycloid curves. We also suggest that the outer rotor be designed using the closed-form equation for the inner rotor and the width correction coefficient. Thus, it is possible to design a gerotor for which there is no upper limit on the eccentricity, as in this case, undercut is prevented and there is no restriction on the tip width. We also develop an automated program for rotor design and calculation of the flow rate and flow rate irregularity. We demonstrate the superior performance of the gerotor developed in this study by analyzing the internal fluid flow using a commercial computational fluid dynamics (CFD)-code.


2012 ◽  
Vol 580 ◽  
pp. 91-94
Author(s):  
Li Han ◽  
You Jun Zhang ◽  
Zeng Wei Li ◽  
Yue Zhang ◽  
Qiang Han

Digital design and manufacturing is the development direction of CAD/CAM technology. Using the powerful CAD/CAM function of UG software , analyze the tooth profile curve of involute internal gear with , which is a part of electric submersible progressing cavity pump, and realize virtual assembly and wire cut electrical discharge machining. The application based on UG digital design and manufacturing technology can improve production effectiveness, boost production development, save energy and powerfully,and impel the development process of manufacturing industry.


Author(s):  
Yanzhong Wang ◽  
Delong Dou ◽  
E Shiyuan ◽  
Jianjun Wang

The mesh stiffness and contact ratio of gear drive are very important factors which have a great impact on the dynamic load. Contact ratio also affects the fluctuation and the mode of change of the mesh stiffness. In this research, a novel high contact ratio internal gear with a circular arc contact path is introduced. However, the irregular tooth profile of non-involute gear usually causes the numerical calculation to be more complex. To get the torsional mesh stiffness of a pair of internal spur gear, the two-dimensional finite element models of involute internal gear and high contact ratio internal gear are presented and compared. In addition, the influence of input torque on torsional mesh stiffness and contact ratio are analyzed. The mesh stiffness of a single tooth pair and the effect of different engagement positions on mesh stiffness are obtained and compared. Finally, experimental measurement of contact ratio is established by strain gauge technique. It is shown that the torsional mesh stiffness increases with the increase of input torque, and the greater the contact ratio, the smoother the gear drive.


2017 ◽  
Vol 9 (2) ◽  
pp. 168781401769095 ◽  
Author(s):  
Zhen Chen ◽  
Huafeng Ding ◽  
Bo Li ◽  
Linbo Luo ◽  
Liang Zhang ◽  
...  

Based on the space curve meshing equation, in this article, a geometry design of a novel circular arc helical gear mechanism with pure rolling for parallel transmission was presented. Different from conventional circular arc gears, the meshing points of circular arc helical gears were limited at the instantaneous centre of rotation. The parameter equations describing the contact curves for both the driving gear and the driven gear were deduced from the space curve meshing equation, and parameter equations of the concave–convex circular arc profiles were established both for internal meshing and external meshing. Furthermore, a formula for the contact ratio was presented, and the impact factors influencing the contact ratio were discussed. Then, the parameter design was presented for the geometry parameters of tooth profiles, such as normal pitch, tooth height and tooth thickness. Using the deduced equations, several numerical examples were then considered, and prototype samples were produced to experimentally validate the contact ratio equation and the theoretical kinematic performance. The circular arc helical gear mechanism investigated in this study showed a high gear transmission performance such as a pure rolling meshing, a high contact ratio and a large comprehensive strength, when considering engineering applications.


2009 ◽  
Vol 131 (8) ◽  
Author(s):  
Yi-Cheng Wu ◽  
Kuan-Yu Chen ◽  
Chung-Biau Tsay ◽  
Yukinori Ariga

In this paper, the circular-arc curvilinear tooth gear drive is proposed. The gear and pinion tooth surfaces are generated by two complemented circular-arc rack cutters with curvilinear tooth-traces. According to the theory of gearing, the mathematical model of the proposed gear is developed. The tooth contact analysis technique is utilized to investigate the kinematical errors of circular-arc curvilinear tooth gear drives under different assembly errors. Contact patterns of the circular-arc curvilinear tooth gear drive are simulated by the developed computer-aided tooth contact analysis programs and surface topology method. Numerical examples are presented to show the kinematical errors of the circular-arc curvilinear tooth gear set under different assembly conditions. Relations among the circular-arc tooth profile, curvilinear tooth-trace, contact ratio, contact pattern, and kinematical error are also demonstrated by numerical examples.


1992 ◽  
Vol 58 (555) ◽  
pp. 3377-3385
Author(s):  
Kazuteru NAGAMURA ◽  
Yoshio TERAUCHI ◽  
Kiyotaka IKEJO ◽  
Tsuneji YADA

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