Theoretical and experimental investigation on internal gear pair with small sliding ratio

2018 ◽  
Vol 25 (4) ◽  
pp. 831-842
Author(s):  
Shuai Peng ◽  
Zhi-fei Ma ◽  
Bing-kui Chen ◽  
Si-ling Qin ◽  
Shu-yan Wang
Keyword(s):  
Experimental Investigation ◽  
Gear Pair ◽  
Internal Gear

The Generation Principle and Mathematical Models of Double-Enveloping Internal Gear Pairs

2015 ◽  
Author(s):  
Xuan Li ◽  
Bingkui Chen ◽  
Yawen Wang ◽  
Guohua Sun ◽  
Teik C. Lim
Keyword(s):  
Mathematical Model ◽  
Load Capacity ◽  
Geometrical Shape ◽  
Gear Pair ◽  
Numerical Examples ◽  
Proposed Model ◽  
General Mathematical Model ◽  
Meshing Characteristics ◽  
Internal Gear ◽  
Tooth Pair

In this paper, the planar double-enveloping method is presented for the generation of tooth profiles of the internal gear pair for various applications, such as gerotors and gear reducers. The main characteristic of this method is the existence of double contact between one tooth pair such that the sealing property, the load capacity and the transmission precision can be significantly improved as compared to the conventional configuration by the single-enveloping theory. Firstly, the generation principle of the planar double-enveloping method is introduced. Based on the coordinate transformation and the envelope theory, the general mathematical model of the double-enveloping internal gear pair is presented. By using this model, users can directly design different geometrical shape profiles to obtain a double-enveloping internal gear pair with better meshing characteristics. Secondly, to validate the effectiveness of the proposed model, specific mathematical formulations of three double-enveloping internal gear pairs which apply circular, parabolic and elliptical curves as the generating curves are given. The equations of tooth profiles and meshing are derived and the composition of tooth profiles is analyzed. Finally, numerical examples are provided for an illustration.

Small Tooth Number Difference Planetary Gear Drive with a Crank and Oscillating Block Inputting Mechanism

2011 ◽  
Vol 52-54 ◽  
pp. 1268-1273 ◽  
Author(s):  
Jian Kun Cui
Keyword(s):  
Potential Application ◽  
Planetary Gear ◽  
Transmission Mechanism ◽  
Gear Pair ◽  
Gear Drive ◽  
Small Tooth ◽  
Tooth Number ◽  
New Type ◽  
Internal Gear ◽  
Block Mechanism

A new mechanism construction for small tooth number difference planetary gear drive is developed in which the planet wheel is guided by a planar crank and oscillating block mechanism. The sizes of linkage are design dexterously to get an approximate circumference linkage curve so that the engaging condition of internal gear pair can be satisfied. The trajectory of the inner gear center motion is analyzed and its error comparing with a standard circle is calculated to avoid movement interference. The movement of inner gear is study particularly to deduced formula of instantaneous transmission ratio. Despite observable fluctuation of output speed, this new type of gear transmission mechanism still has potential application value in situation with large ratio and low input speed. A hand drive winch prototype using the mechanism is also illustrated in this paper.

Study on Calculations of Geometric Dimensions and Modification Coefficients of Planetary Gear Reducer of Less Tooth Difference with Biasing Crankshaft Based on Matlab

2013 ◽  
Vol 644 ◽  
pp. 298-303
Author(s):  
Qiang Xu ◽  
Qi Sheng Xu ◽  
Dao Yi Xu
Keyword(s):  
Planetary Gear ◽  
Optimal Choice ◽  
The Other ◽  
Gear Pair ◽  
Calculation Results ◽  
Internal Gear ◽  
Center Distance ◽  
Choice Method

Different formula characteristics of internal gear pair with few teeth difference of planetary gear reducer with biasing crankshaft were compared, and the restricted conditions satisfied by them when meshing were set forth. On this basis, the relationships of modification coefficients, tooth addendum coefficient and the center distance were studied, the optimal choice method for modification coefficient based on matlab for the smallest meshing angle was proposed, and verified with living example, at the same time the effect of the different step lengths on calculation results was researched. The results showed that the optimum method is accurate, and avoids the disadvantages of the other optimal choice methods.

Study on the Multi-Tooth Meshing Bending Strength for Involute Gear Drive with Small Tooth Number Difference

2014 ◽  
Vol 526 ◽  
pp. 236-241
Author(s):  
Xiao Ning Feng
Keyword(s):  
Calculation Method ◽  
Bending Strength ◽  
Gear Pair ◽  
Bending Stress ◽  
Strength Factor ◽  
Gear Drive ◽  
Small Tooth ◽  
Strength Based ◽  
Tooth Number ◽  
Internal Gear

This article has established numerous entity assembly models of internal gear pair with small tooth number difference of stub gear, then calculates the bending stress of multi-tooth meshing by means of FEM, determines bending strength factor of multi-tooth meshing, and forms the calculation method of bending strength based on influence by multi-tooth meshing.

Influence Analysis of Machining Errors on Bearing Capability of Internal Gear Pair

2011 ◽  
Vol 299-300 ◽  
pp. 1142-1145
Author(s):  
Kai Huang ◽  
Yan Dong Zhang
Keyword(s):  
Tooth Profile ◽  
Gear Pair ◽  
Influence Analysis ◽  
Profile Modification ◽  
Pair Model ◽  
Tooth Profile Modification ◽  
Machining Errors ◽  
Internal Gear

The gear pair model with machining errors is constructed based on the software such as Pro/E and ANSYS, and in this basis, the influence analysis about the machining errors on the bearing capability is carried out. The analysis results show that the said influence varies with the increase of load, and however, the tooth profile modification would be more important compared with the machining errors.

scholarly journals Experimental Investigation of the Effect of Gear Ratio on the Dynamic Behavior of a Helical Gear Pair.

1996 ◽  
Vol 62 (602) ◽  
pp. 4078-4085
Author(s):  
Haruo HOUJOH ◽  
Shaofeng WANG ◽  
Ryutaro SHINOHARA ◽  
Shigeki MATSUMURA ◽  
Suguru WADA ◽  
...  
Keyword(s):  
Experimental Investigation ◽  
Dynamic Behavior ◽  
Gear Ratio ◽  
Helical Gear ◽  
Gear Pair ◽  
Helical Gear Pair
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