Mathematical Model and Tooth Contact Analysis of an Internal Helical Gear Pair with Selectable Contact Path

2018 ◽  
Vol 19 (6) ◽  
pp. 837-848 ◽  
Author(s):  
Shuai Peng ◽  
Bing-kui Chen ◽  
Dong Liang ◽  
Lu-he Zhang ◽  
Si-ling Qin
Keyword(s):  
Mathematical Model ◽  
Helical Gear ◽  
Contact Analysis ◽  
Gear Pair ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Helical Gear Pair

scholarly journals Rapid Prototyping and Tooth Contact Analysis of Eccentric Cycloid Gear Mesh

2019 ◽  
Vol 49 (1) ◽  
pp. 369-382
Author(s):  
Michał Batsch
Keyword(s):  
Mathematical Model ◽  
Numerical Simulations ◽  
Contact Analysis ◽  
Gear Pair ◽  
Contact Pattern ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Additive Fabrication ◽  
Gear Mesh ◽  
Gear Wheels

Abstract This paper presents a mathematical model and tooth contact analysis of eccentric cycloid gear mesh. Numerical simulations aimed at generating contact pattern for a sample gear pair were performed. Contact pattern was also determined for gear wheels made by additive fabrication from transparent light-activated resin.

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.

scholarly journals Dynamic Vibration Characteristic Analysis for the Power-Split Transmission System Based on Loaded Tooth Contact Analysis

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
Hao Dong ◽  
Yan Cao ◽  
Zhou Fang
Keyword(s):  
Transmission System ◽  
Contact Analysis ◽  
Gear Pair ◽  
Characteristic Analysis ◽  
Lumped Mass ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Dynamic Vibration ◽  
Power Split ◽  
Loaded Tooth Contact Analysis

In order to solve the dynamic vibration characteristics of the power-split transmission system, the system of the dynamic mechanical model is established. Firstly, according to the theoretical analysis method of the tooth contact analysis (TCA) and loaded tooth contact analysis (LTCA), the actual meshing process of each gear pair is simulated, and the time-varying mesh stiffness excitation is obtained, which can improve the numerical precision. Next, by using the lumped mass method, the bending-torsional coupling three-dimensional dynamical model of the power-split transmission is established. The identical dimensionless equations are deduced by eliminating the effect of rigid displacement and the method of dimensional normalization. Next, the frequency domain and time domain responses of this system are obtained. The dynamic load change characteristics of each gear pair are analyzed. The results show that establishment, solution, and analysis of the system dynamics model could provide a basis for the dynamic design and have an important significance for the dynamic efficiency analysis and dynamic performance optimization design of the power-split transmission. Through theoretical data compared with the experimental data, we verified the correctness of the method proposed.

Tooth contact analysis of toroidal involute worm mating with involute helical gear

2002 ◽  
Vol 37 (7) ◽  
pp. 685-691 ◽  
Author(s):  
Shuren Wang ◽  
Dongan Zhan ◽  
Hua Liu ◽  
Shuyu Wang
Keyword(s):  
Helical Gear ◽  
Contact Analysis ◽  
Tooth Contact Analysis ◽  
Tooth Contact

Computer Aided Loaded Tooth Contact Analysis in Cylindrical Worm Gears

2004 ◽  
Vol 127 (5) ◽  
pp. 973-981 ◽  
Author(s):  
Vilmos Simon
Keyword(s):  
Contact Analysis ◽  
Worm Gear ◽  
Gear Pair ◽  
Contact Lines ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Computer Aided ◽  
Different Types ◽  
Worm Gears ◽  
Loaded Tooth Contact Analysis

A method for computer aided loaded tooth contact analysis in different types of cylindrical worm gears is proposed. The method covers both cases—that of the theoretical line and point contact. The geometry and kinematics of a worm gear pair based on the generation of worm gear teeth by a hob is presented. The full loaded tooth contact analysis of such a gear pair is performed. A computer program based on the theoretical background presented has been developed. By using this program the path of contact, the potential contact lines, the separations of mating surfaces along these contact lines, the load distribution and transmission errors for different types of modified and nonmodified worm gear pairs are calculated and graphically presented. The influence of gear tooth modifications on tooth contact is investigated and discussed.

scholarly journals Lubricated loaded tooth contact analysis for spur gear pair

2019 ◽  
Vol 8 (1) ◽  
pp. 23
Author(s):  
Callum Oglieve ◽  
Gajarajan Sivayogan ◽  
Homer Rahnejat ◽  
Mahdi Mohammadpour
Keyword(s):  
Spur Gear ◽  
Contact Analysis ◽  
Gear Pair ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Loaded Tooth Contact Analysis
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