Tooth Contact Analysis of Longitudinal Cycloidal-Crowned Helical Gears With Circular Arc Teeth

2010 ◽  
Vol 132 (3) ◽  
Author(s):  
Wei-Shiang Wang ◽  
Zhang-Hua Fong
Keyword(s):  
Gear Tooth ◽  
Longitudinal Direction ◽  
Transmission Error ◽  
Helical Gear ◽  
Contact Analysis ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Circular Arc ◽  
Tooth Flank ◽  
Assembly Error

This paper proposes a new type of double-crowned helical gear that can be continuously cut on a modern Cartesian-type hypoid generator with two face-hobbing head cutters and circular-arc cutter blades. The gear tooth flank is double crowned with a cycloidal curve in the longitudinal direction and a circular arc in the profile direction. To gauge the sensitivity of the transmission errors and contact patterns resulting from various assembly errors, this paper applies a tooth contact analysis technique and presents several numerical examples that show the benefit of the proposed double-crowned helical gear set. In contrast to a conventional helical involute gear, the tooth bearing and transmission error of the proposed gear set are both controllable and insensitive to gear-set assembly error.

Modeling of Helical Gear Power Tri-Branching Transmission Based on Loaded Tooth Contact Analysis

2013 ◽  
Vol 372 ◽  
pp. 543-546
Author(s):  
Xiao Fang Yang ◽  
Zong De Fang ◽  
Yong Zhen Zhang ◽  
Yuan Fei Han
Keyword(s):  
Structural Model ◽  
Transmission Error ◽  
Helical Gear ◽  
Transmission System ◽  
Contact Analysis ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Actual Application ◽  
Loaded Tooth Contact Analysis ◽  
Numerical Precision

According to the principle of tri-branching, a mechanism structural model was developed to analyze the helical gear transmission system. On the base of loaded tooth contact analysis (LTCA), the load transmission error of each gear stage is simulated at the any engagement position, and the fitting curves of the torsion mesh stiffness are obtained, which can improve the numerical precision. The research results can be applied to analyze the actual application of tri-branching transmission system and provide a firm foundation for study the power-split and load-sharing characteristics.

Tooth Contact and 3-D Stress Analysis of Involute Helical Gears

1992 ◽  
Author(s):  
M. A. Sahir Arikan ◽  
Mustafa Tamar
Keyword(s):  
Stress Analysis ◽  
Gear Tooth ◽  
Contact Point ◽  
Helical Gear ◽  
Contact Analysis ◽  
Contact Lines ◽  
Coordinate Systems ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Contact Points

Abstract An involute helical gear tooth is modelled by using helical gear geometry and a solid modelling package, and this model is used to determine the load distribution on contact lines of mating teeth, and to make the stress analysis by using three-dimensional tetrahedron finite elements with four nodes. Tooth contact analysis is made by using the theory of gearing. Geometry of the cutting tool is used to determine the surface equations of the pinion and the gear in their own coordinate systems, then these equations are transformed to a fixed coordinate system to make the tooth contact analysis and to find the coordinates of contact points. Found contact point coordinates are then transformed back to the original coordinate systems and contact lines on helical gear teeth are formed. Results of this analysis is used to determine the application points and directions of the forces acting on the tooth. Then the stiffnesses of meshing teeth and the load distributions on contact lines are found, which are then used for stress analysis.

scholarly journals Tooth Surface Modification for Helical Gear Pairs considering Mesh Misalignment Tolerance

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Guosheng Han ◽  
Bing Yuan ◽  
Guan Qiao
Keyword(s):  
Surface Modification ◽  
Gear Tooth ◽  
Transmission Error ◽  
Helical Gear ◽  
Tooth Surface ◽  
Tooth Contact Analysis ◽  
Nsga Ii ◽  
Design Variables ◽  
Tooth Flank ◽  
Tooth Surface Modification

Mesh misalignment in mating the gear tooth surface is common and difficult to be determined accurately because of system deformation and bearing clearances, as well as manufacturing and assembly errors. It is not appropriate to consider the mesh misalignment as a constant value or even completely ignore it in the tooth surface modification design. Aiming to minimize the expectation and variance of static transmission error (STE) fluctuations in consideration of mesh misalignment tolerance, a multiobjective optimization model of tooth surface modification parameters is proposed through coupling the NSGA-II algorithm and an efficient loaded tooth contact analysis (LTCA) model. The modified tooth flank of helical gear pairs is defined using 6 design variables which are related to profile modification, lead modification, and bias modification. The influences of mesh misalignment on time-dependent meshing stiffness (TDMS) and STE of unmodified and modified helical gear pairs are investigated. Then, the dynamic transmission error (DTE) of modified helical gears in consideration of mesh misalignment is discussed. The results indicate that the designed modified tooth surface shows good robustness to mesh misalignment.

Analysis of Transmission Performance of Helical Gear Based on High-Order Modification Design

2013 ◽  
Vol 437 ◽  
pp. 236-240
Author(s):  
Jian Jun Yang ◽  
Jian Jun Wang ◽  
Shi Min Mao
Keyword(s):  
Contact Stress ◽  
Transmission Error ◽  
Helical Gear ◽  
Contact Analysis ◽  
High Order ◽  
Transmission Performance ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Edge Contact ◽  
Alignment Errors

Flank modification is widely used in helical gear to diminish contact stress and edge contact, to improve the transmission performance. In this paper, tooth contact analysis is used to simulate the modified helical gear driver with high-order parabolic modification curve. The results show that the transmission error is diminished, and the meshing area is non-sensitive to the alignment errors.

Analysis of the Transmission Error of Face-Gear Drives

1997 ◽  
Author(s):  
S. D. Chung ◽  
S. H. Chang ◽  
S. S. Lu
Keyword(s):  
Mathematical Model ◽  
Angular Displacement ◽  
Transmission Error ◽  
Contact Analysis ◽  
Generation Process ◽  
Face Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Analytical Geometry ◽  
Assembly Error

Abstract Based on the face-gear generation process, the analytical geometry of face-gear drive with its mathematical model for tooth contact analysis of face-gear and spur pinion meshing was derived. In this paper, contact path and transmission error due to assembly misalignment were analyzed by using the proposed mathematical model and the tooth contact analysis. The effect of assembly error along the axis of face-gear, misalignment of crossed and angular displacement between axes of spur pinion and face-gear were all investigated. The results are illustrated by several examples.

scholarly journals Frictional Effects on Gear Tooth Contact Analysis

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Zheng Li ◽  
Ken Mao
Keyword(s):  
Sliding Friction ◽  
Gear Tooth ◽  
Transmission Error ◽  
Contact Analysis ◽  
Dynamic Boundary Conditions ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Gear Teeth ◽  
Frictional Shear Stress ◽  
Frictional Effects

The present paper concentrates on the investigations regarding the situations of frictional shear stress of gear teeth and the relevant frictional effects on bending stresses and transmission error in gear meshing. Sliding friction is one of the major reasons causing gear failure and vibration; the adequate consideration of frictional effects is essential for understanding gear contact behavior accurately. An analysis of tooth frictional effect on gear performance in spur gear is presented using finite element method. Nonlinear finite element model for gear tooth contact with rolling/sliding is then developed. The contact zones for multiple tooth pairs are identified and the associated integration situation is derived. The illustrated bending stress and transmission error results with static and dynamic boundary conditions indicate the significant effects due to the sliding friction between the surfaces of contacted gear teeth, and the friction effect can not be ignored. To understand the particular static and dynamic frictional effects on gear tooth contact analysis, some significant phenomena of gained results will also be discussed. The potentially significant contribution of tooth frictional shear stress is presented, particularly in the case of gear tooth contact analysis with both static and dynamic boundary conditions.

Simulation and Experimental Measurement of the Transmission Error of Real Hypoid Gears Under Load

2000 ◽  
Vol 122 (1) ◽  
pp. 109-122 ◽  
Author(s):  
Claude Gosselin ◽  
Thierry Guertin ◽  
Didier Remond ◽  
Yves Jean
Keyword(s):  
Measurement Data ◽  
Simulation Models ◽  
Transmission Error ◽  
Contact Analysis ◽  
Hypoid Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Hypoid Gears ◽  
Loaded Tooth Contact Analysis ◽  
Analysis Models

The Transmission Error and Bearing Pattern of a gear set are fundamental aspects of its meshing behavior. To assess the validity of gear simulation models, the Transmission Error and Bearing Pattern of a Formate Hypoid gear set are measured under a variety of operating positions and applied loads. Measurement data are compared to simulation results of Tooth Contact Analysis and Loaded Tooth Contact Analysis models, and show excellent agreement for the considered test gear set. [S1050-0472(00)00901-6]

Tooth contact analysis of a curvilinear gear set with modified pinion tooth geometry

2011 ◽  
Vol 225 (4) ◽  
pp. 975-986 ◽  
Author(s):  
Y-C Chen ◽  
M-L Gu
Keyword(s):  
Finite Element ◽  
Transmission Error ◽  
Contact Analysis ◽  
Design Parameters ◽  
Stress Distributions ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Numerical Examples ◽  
Bearing Contact ◽  
Parallel Axis

This article investigated the contact behaviours of a modified curvilinear gear set for parallel-axis transmission, which exhibits a pre-designed parabolic transmission error (TE) and localized bearing contact. The proposed gear set is composed of a modified pinion with curvilinear teeth and an involute gear with curvilinear teeth. Tooth contact analysis enabled the authors to explore the influences of assembly errors and design parameters on TEs and contact ellipses of this gear set. It is observed that TEs were continuous and the contact ellipses were localized in the middle of the tooth flanks, even under assembly errors. Finite-element contact analysis was performed to study stress distributions under different design parameters. In addition, numerical examples are presented to demonstrate the contact characteristics of the modified curvilinear gear set.

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