Nonlinear Dynamic Modelling and Analysis for a Spur Gear Pair Considering Tooth Profile Deviation Based on Tooth Contact Analysis

Energy efficiency and functional reliability are the two key requirements in the design of high-performance transmissions. Therefore, a representative analysis replicating real operating conditions is essential. This paper presents the thermoelastohydrodynamic lubrication (TEHL) of meshing spur gear teeth of high-performance racing transmission systems, where high generated contact pressures and lubricant shear lead to non-Newtonian traction. The determination of the input contact geometry of meshing pairs as well as contact kinematics are essential steps for representative TEHL. These are incorporated in the current analysis through the use of Lubricated Loaded Tooth Contact Analysis (LLTCA), which is far more realistic than the traditional Tooth Contact Analysis (TCA). In addition, the effects of lubricant and flash surface temperature rise of contacting pairs, leading to the thermal thinning of lubricant, are taken into account using a thermal network model. Furthermore, high-speed contact kinematics lead to shear thinning of the lubricant and reduce the film thickness under non-Newtonian traction. This comprehensive approach based on established TEHL analysis, particularly including the effect of LLTCA on the TEHL of spur gears, has not hitherto been reported in literature.

Download Full-text

Tooth Contact Analysis of Planetary Gear Trains with Equally Spaced Planets

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.43.279 ◽

2010 ◽

Vol 43 ◽

pp. 279-282

Author(s):

Kai Xu ◽

Xiao Zhong Deng ◽

Jian Jun Yang ◽

Guan Qiang Dong

Keyword(s):

Planetary Gear ◽

Transmission Error ◽

Spur Gear ◽

Contact Analysis ◽

Gear Train ◽

Tooth Contact Analysis ◽

Planetary Gear Train ◽

Tooth Contact ◽

Gear Trains ◽

Equal Space

Based on Tooth Contact Analysis (TCA), a feasible approach for Transmission Error (TE) of planetary gear train is proposed in this paper. With a view to getting the total TE curve of the planetary gear train, a specific analysis of the TE from the planetary gear train with only one planet should be proceed firstly, the second step is to calculate each phase difference of planets in the gear train. The applicable conditions for the simplified calculation are spur gear or involute gear pairs in the gear train. Due to equal space between them, planets have the same phase angle.

Download Full-text

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

Shock and Vibration ◽

10.1155/2015/871894 ◽

2015 ◽

Vol 2015 ◽

pp. 1-15 ◽

Cited By ~ 3

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.

Download Full-text

Computer Aided Loaded Tooth Contact Analysis in Cylindrical Worm Gears

Journal of Mechanical Design ◽

10.1115/1.1904050 ◽

2004 ◽

Vol 127 (5) ◽

pp. 973-981 ◽

Cited By ~ 20

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.

Download Full-text

A calculation method of tooth profile modification for tooth contact analysis technology

Journal of the Brazilian Society of Mechanical Sciences and Engineering ◽

10.1007/s40430-018-1268-4 ◽

2018 ◽

Vol 40 (7) ◽

Author(s):

Cheng Wang ◽

Shouren Wang ◽

Gaoqi Wang

Keyword(s):

Calculation Method ◽

Contact Analysis ◽

Tooth Profile ◽

Tooth Contact Analysis ◽

Tooth Contact ◽

Profile Modification ◽

Tooth Profile Modification

Download Full-text

Compound transmission principle analysis of eccentric curve-face gear pair with curvilinear-shaped teeth based on tooth contact analysis

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1177/09544062211047075 ◽

2021 ◽

pp. 095440622110470

Author(s):

Chao Lin ◽

Yu Wang ◽

Yanan Hu ◽

Yongquan Yu

Keyword(s):

Axial Direction ◽

Contact Analysis ◽

Gear Pair ◽

Face Gear ◽

Tooth Contact Analysis ◽

Tooth Contact ◽

Contact Points ◽

Tooth Surfaces ◽

Set Up ◽

Curve Face

A new type of compound transmission gear pair was put forward, called eccentric curve-face gear pair with curvilinear-shaped teeth. It could realize reciprocating motion of the gear shaft when the intersecting shafts achieve transferring motion and power through its unique tooth profile. The compound transmission principle of this gear pair was fully established based on the profile-closure process of axial direction and meshing process of the end face. The tooth surfaces of the eccentric curve-face gear and non-circular gear were generated. The contact paths of different teeth were obtained, and the compound transmission principle of eccentric curve-face gear pair with curvilinear-shaped teeth was verified by tooth contact analysis. By analyzing the mechanical characteristics of time-varying contact points, the changing rule of contact force was studied, and the compound transmission principle of the gear pair was further revealed from mechanics. Moreover, the experimental platform for transmission of eccentric curve-face gear pair with curvilinear-shaped teeth was set up to measure the motion law and contact area, and the correctness of the analysis results was verified.

Download Full-text

The Stress Analysis on Spur Gear Meshing Simulation

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.392.151 ◽

2013 ◽

Vol 392 ◽

pp. 151-155

Author(s):

Zheng Li ◽

Yang Chen

Keyword(s):

Gear Tooth ◽

Nonlinear Behavior ◽

Element Model ◽

Spur Gear ◽

Contact Analysis ◽

Tooth Contact Analysis ◽

Tooth Contact ◽

Reliable Model ◽

Nonlinear Behaviors ◽

Meshing Process

The gear meshing is a very complicated process due to the nonlinear behaviors during the teeth contact. It is necessary to build a reliable model to simulate gear meshing process which can consider geometry and boundary conditions nonlinear behavior in gear tooth contact analysis. This paper propose a 3D finite element model to simulate the meshing process of a pair of spur gears, and then carry out the gear tooth contact analysis with the consideration of nonlinear behaviors. The results and relevant discussions will indicate and explain some significant phenomena of the gear tooth contact characteristics in gear meshing process.

Download Full-text

Computer aided designing and modelling of spur gear pairs having normal and modified straight teeth

International Review of Applied Sciences and Engineering ◽

10.1556/1848.2019.0019 ◽

2019 ◽

Vol 10 (2) ◽

pp. 157-163 ◽

Cited By ~ 1

Author(s):

Sándor Bodzás

Keyword(s):

Computer Programs ◽

Spur Gear ◽

Contact Analysis ◽

Geometrical Parameters ◽

Tooth Contact Analysis ◽

Tooth Contact ◽

Computer Aided ◽

Cad Models

The aim of this publication is to show the process of computer aided designing of the spur gear pairs having normal and modified straight teeth. For designing, the determination of the geometrical parameters is needed. Computer programs have been developed with which gear pairs having normal and modified teeth, with any arbitrary parameters can be analysed, designed and modelled. With these programs gear pairs having concrete geometry have been designed and CAD models have also been drawn to have further meshing, geometrical and TCA (Tooth Contact Analysis).

Download Full-text