scholarly journals On the power transmitting capacity of internal gear with straight line tooth profile.

1986 ◽  
Vol 52 (12) ◽  
pp. 2066-2073
Author(s):  
Yuichi ISHIKAWA
Keyword(s):  
Tooth Profile ◽  
Straight Line ◽  
Internal Gear

Design of High Ratio Gear Reducer Using Vernier Differential Theory

2020 ◽  
Vol 143 (2) ◽  
Author(s):  
Jaehyeock Chang ◽  
Inbae Chang
Keyword(s):  
Static Analysis ◽  
High Ratio ◽  
Tooth Profile ◽  
Planetary Gears ◽  
Simple Mechanism ◽  
Involute Gear ◽  
Wide Range ◽  
Vernier Effect ◽  
Internal Gear

Abstract In this study, we propose a high ratio involute gear reducer using the Vernier effect, so-called Vernier drive. Our design consists of a fixed internal gear, a rotating internal gear, and single-profile planetary gears, which are mounted on a carrier and simultaneously mesh with both internal gears. Since the mechanism requires a design beyond the conventional gear meshing principles, a method to modify the tooth profile of the rotating internal gear is introduced and mathematically verified with exact geometric relations. The performance of the Vernier drive is theoretically studied by quasi-static analysis, and the operation is tested with additively manufactured prototypes. The results demonstrate that the Vernier drive is able to cover a wide range of reduction ratios with a simple mechanism.

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.

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.

Computerised Tooth Profile Generation of Conjugated Involute Internal Gears

2013 ◽  
Vol 572 ◽  
pp. 355-358 ◽  
Author(s):  
Cuneyt Fetvaci
Keyword(s):  
Computer Program ◽  
Mathematical Models ◽  
Tooth Profile ◽  
Tooth Surface ◽  
Gear Pumps ◽  
Tooth Surfaces ◽  
Internal Gear ◽  
The Given ◽  
Gear Profile

This paper studies the conjugated involute profile which are used in internal gear pumps. In this type of gear mechanisms, the internal gear profile is completely conjugate of the external gear profile. A composite line of action curve is obtained because the root fillets also play role in engagement cycle. The perfomance of the mechanism is increased. By applying consequent transformations, firstly the tooth surface of the generated external gear is obtained and secondly the tooth surface of the conjugated involute internal tooth surface is obtained. Also asymmetric tooth is considered. Mathematical models of generating and generated tooth surfaces are given. Based on the given mathematical models, a computer program is developed to obtain generating and generated surface. Conventional and conjugated involute profiles are compared.

A Novel Design of Cylindrical Hob for Machining of Precision Involute Gears

2006 ◽  
Vol 129 (3) ◽  
pp. 334-345 ◽  
Author(s):  
Stephen P. Radzevich
Keyword(s):  
Analytical Methods ◽  
Tooth Profile ◽  
Surface Generation ◽  
Design Parameters ◽  
Analytical Mechanics ◽  
Straight Line ◽  
Vector Algebra ◽  
Involute Gears ◽  
Design Yield ◽  
Novel Design

This paper aims at development of a novel design of precision gear hob for machining involute gear on a conventional gear-hobbing machine. The reported research is based on use of fundamental results obtained in analytical mechanics of gearing. For solving the problem, both the descriptive-geometry-based (DGB) methods together with pure analytical methods have been employed. The use of DGB methods is insightful for solving most of the principal problems, which consequently were analytically solved. The analytical methods used provide an example of application of the DG∕K-method of surface generation developed earlier by the author. For interpretation of the results of research, several computer codes in the commercial software MathCAD∕Scientific were composed. Ultimately, a method of computation of parameters of design of a hob with straight-line lateral cutting edges for machining of precision involute gears is developed in the paper. Coincidence of the straight-line lateral cutting edges of the hob with the straight-line characteristics of it generating surface eliminates the major source of deviations of the hobbed involute gears. The relationships between major principal design parameters that affect the gear hob performance are investigated with the use of vector algebra, matrix calculus, and elements of differential geometry. Gear hobs of the proposed design yield elimination of the principal and major source of deviation of the desired hob tooth profile from the actual hob tooth profile. The reported results of this research are ready to put in practice.

Application of Symmetrical Equations in Parametric Design of Involute Gear

2012 ◽  
Vol 479-481 ◽  
pp. 903-907 ◽  
Author(s):  
Su Tao Zhuang ◽  
Yuan Yuan Ge ◽  
Qian Ming Yang
Keyword(s):  
Engineering Design ◽  
Parametric Design ◽  
Parametric Modeling ◽  
Tooth Profile ◽  
Main Method ◽  
Involute Gear ◽  
Controlling Parameter ◽  
Straight Line

Parametric design based on feature is the main method in parametric modeling of involute gear. In this paper, symmetric equations of the involute and the fillet curve are established according to the coordinates of points symmetrical about a straight line. And the tooth profile or alveolar profile of involute gear is generated accurately through controlling parameter of equations quantitatively. The problem of generating tooth profile accurately can be solved. Then the correctness of gear’s parametric design is ensured. The accuracy and efficiency of the gear’s engineering design are all improved.

The Grinding of the Worm for Worm Gear Set

2018 ◽  
Vol 775 ◽  
pp. 473-479
Author(s):  
Chi Hsiang Chen ◽  
Duy Hoang Nguyen ◽  
Shinn Liang Chang ◽  
Truong Giang Nguyen
Keyword(s):  
Gear Ratio ◽  
Tooth Profile ◽  
Worm Gear ◽  
Tooth Surface ◽  
Grinding Wheel ◽  
Essential Requirement ◽  
Straight Line ◽  
Worm Gears ◽  
Crossed Axes ◽  
Grinding Machine

Worm gear set is composed by the worm and worm wheel. It is an important transmission device for crossed axes transmission with high gear ratio. Worm gears can be produced in several ways, depending on the size of the transmission, the number of threads, the type of the worm and the purpose of application, etc. The contact is highly related to the precision of tooth profile. The best way to control the characteristic of contact is done by the modified worm profile. This paper deals with the manufacture of ZI-Worm whose theoretical tooth surface is generated by a screw motion of a straight line. In order to manufacture the worm with modified high precision tooth profile, the most important consideration is how to develop the profile of the grinding wheel in the worm grinding process. It is the essential requirement for the development of grinding machine for the worm. This article therefore deals with the problems of how to generate the profile of the grinding wheel. By the development of the grinding machine, we can complete the worm surface and tools for the production.

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