Finite element generalized tooth contact analysis of double circular arc helical gears

2012 ◽  
Vol 43 (4) ◽  
pp. 439-448 ◽  
Author(s):  
Wentao Qu ◽  
Xiongqi Peng ◽  
Ning Zhao ◽  
Hui Guo
Keyword(s):  
Finite Element ◽  
Contact Analysis ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Circular Arc ◽  
Helical Gears

scholarly journals Parameterized High-Precision Finite Element Modelling Method of 3D Helical Gears with Contact Zone Refinement

2019 ◽  
Vol 2019 ◽  
pp. 1-17
Author(s):  
Yanping Liu ◽  
Yongqiang Zhao ◽  
Ming Liu ◽  
Xiaoyu Sun
Keyword(s):  
Finite Element ◽  
High Precision ◽  
Helical Gear ◽  
Contact Analysis ◽  
Computational Time ◽  
Local Refinement ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Helical Gears ◽  
Modelling Method

In order to perform a tooth contact analysis of helical gears with satisfactory accuracy and computational time consuming, a parameterized approach to establish a high-precision three-dimension (3D) finite element model (FEM) of involute helical gears is proposed. The enveloping theory and dentiform normal method are applied to deduce the mathematical representations of the root transit curve as well as the tooth profile of the external gear in the transverse plane based on the manufacturing process. A bottom-up modelling method is applied to build the FEM of the helical gear directly without the intervention of CAD software or creating the geometry model in advance. Local refinement methodology of the hexahedral element has been developed to improve the mesh quality and accuracy. A computer program is developed to establish 3D helical gear FEM with contact region well refined with any parameters and mesh density automatically. The comparison of tooth contact analysis between the coarse-mesh model and local refinement model demonstrates that the present method can efficiently improve the simulation accuracy while greatly reduce the computing cost. Using the proposed model, the tooth load sharing ratio, static transmission error, meshing stiffness, root bending stress, and contact stress of the helical gear are obtained based on the quasistatic load tooth contact analysis. This methodology can also be used to create other types of involute gears, such as high contact ratio gear, involute helical gears with crossed axes, or spiral bevel gears.

Parametric finite element modeling and tooth contact analysis of spur and helical gears including profile and lead modifications

2017 ◽  
Vol 34 (8) ◽  
pp. 2877-2898 ◽  
Author(s):  
Yanzhong Wang ◽  
Yang Liu ◽  
Wen Tang ◽  
Peng Liu
Keyword(s):  
Finite Element ◽  
Finite Element Modeling ◽  
Contact Analysis ◽  
Tooth Contact Analysis ◽  
Element Analysis ◽  
Tooth Contact ◽  
Content Type ◽  
Helical Gears ◽  
Element Modeling ◽  
Finite Element Software

Purpose The finite element method has been increasingly applied in stress, thermal and dynamic analysis of gear transmissions. Preparing the models with different design and modification parameters for the finite element analysis is a time-consuming and highly skilled burden. Design/methodology/approach To simplify the preprocessing work of the analysis, a parametric finite element modeling method for spur and helical gears including profile and lead modification is developed. The information about the nodes and elements is obtained and exported into the finite element software to generate the finite element model of the gear automatically. Findings By using the three-dimensional finite element tooth contact analysis method, the effects of tooth modifications on the transmission error and contact stress of spur and helical gears are presented. Originality/value The results demonstrate that the proposed method is useful for verifying the modification parameters of spur and helical gears in the case of deformations and misalignments.

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.

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.

Tooth Contact Analysis of the Double Circular Arc Tooth Spiral Bevel Gear

2010 ◽  
Vol 44-47 ◽  
pp. 3711-3715
Author(s):  
Rui Liang Zhang ◽  
Tie Wang ◽  
Hong Mei Li
Keyword(s):  
Simulation Analysis ◽  
Contact Analysis ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Tooth Contact Analysis ◽  
Element Analysis ◽  
Tooth Contact ◽  
Circular Arc ◽  
Profile Characteristic ◽  
Spiral Bevel

Tooth contact analysis is an effective tool for meshing analysis of the double circular arc profile spiral bevel gear (DCAPSBG), as well as the basis for loading tooth contact analysis and finite element analysis. Applying the principle of tooth contact analysis (TCA) and the tooth profile characteristic of the DCAPSBG, this paper introduced and discussed the key contents and method of TCA computer programming for numerical simulation analysis of the transmission meshing quality of DCAPSBG. The TCA program developed in this paper, which had been verified by real examples, provided an effective approach for the design of DCAPSBG.

scholarly journals Frictional Tooth Contact Analysis along Line of Action of a Spur Gear Using Finite Element Method

2014 ◽  
Vol 5 ◽  
pp. 1801-1809 ◽  
Author(s):  
Santosh Patil ◽  
Saravanan Karuppanan ◽  
Ivana Atanasovska ◽  
Azmi A. Wahab
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Spur Gear ◽  
Contact Analysis ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Element Method

TCA Principe and Application of the Double Circular Arc Tooth Spiral Bevel Gear

2011 ◽  
Vol 121-126 ◽  
pp. 3559-3561
Author(s):  
Rui Liang Zhang ◽  
Tie Wang ◽  
Zhi Fei Wu
Keyword(s):  
Contact Analysis ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Tooth Contact Analysis ◽  
Element Analysis ◽  
Tooth Contact ◽  
Circular Arc ◽  
Mixed Programming ◽  
Spiral Bevel ◽  
Check Experiment

Tooth contact analysis (TCA) is an effective tool for meshing analysis of the double circular arc profile spiral bevel gear (DCAPSBG), and it is the basis of loading tooth contact analysis and finite element analysis. The TCA application is developed by Visual Basic and MATLAB mixed programming method, this paper compared the results of the TCA application analysis with the results of contact area check experiment on one pair of gears with given parameters. The TCA application had been verified by real experiment, this provided an effective approach for the design of DCAPSBG.

A study of the contact stress analysis of cylindrical gears using the hybrid finite element method

2012 ◽  
Vol 227 (1) ◽  
pp. 3-18 ◽  
Author(s):  
Zheng-Xiang Zhang ◽  
Zhang-Hua Fong ◽  
Yu-Huo Li ◽  
Hong-Sheng Fang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Contact Stress ◽  
Contact Analysis ◽  
Tooth Contact Analysis ◽  
Compliance Matrix ◽  
Tooth Contact ◽  
Hybrid Finite Element Method ◽  
Hybrid Finite Element ◽  
Element Method

In this study, the hybrid finite element method combined with the tooth contact analysis was applied to solve the static contact stress problem of meshing a cylindrical gear set. The hybrid finite element method has two special features. First, the dimension of the stiffness matrix was reduced to a small condensed compliance matrix with degrees of freedom in the possible contact region. The contact force was iteratively solved based on the condensed compliance matrix by the normal gap distance at the contact point. Second, the contact force at the meshing positions was solved using the same condensed compliance matrix with a different normal gap distance calculated by the tooth contact analysis. Using the examples in this study, the contact stress of the meshing gears was calculated and compared to the data obtained by ANSYS in order to validate the proposed hybrid finite element method. The hybrid finite element method with tooth contact analysis proposed in this study can be used to determine the amount of tooth surface modification.

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