scholarly journals Mathematical model and tooth contact analysis of convexo-concave helical bevel Novikov gear mesh

2020 ◽  
Vol 149 ◽  
pp. 103842 ◽  
Author(s):  
Michał Batsch
Keyword(s):  
Mathematical Model ◽  
Contact Analysis ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Gear Mesh ◽  
Novikov Gear

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.

Research on Lead Modification of Cylindrical Gears with Consideration of System Deformation

2011 ◽  
Vol 86 ◽  
pp. 696-699
Author(s):  
Shun Xiong ◽  
Yue Chun Zhang ◽  
Ping Liu ◽  
Wen Wang ◽  
Huang Zuo
Keyword(s):  
Calculation Result ◽  
Simulation Analysis ◽  
Contact Analysis ◽  
Deformation Analysis ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Gear Mesh ◽  
Cylindrical Gears ◽  
Concrete Mixer

A gearbox in concrete mixer truck was used as an example to study the effect of system deformation on the misalignment of gear mesh by applying the methods of FEA and tooth contact analysis. The variation of misalignment under different stiffness of system was compared. Gear misalignment was calculated on the basis of the system deformation analysis. The calculation result was used to determine the parameter of lead modification. Finally, it is proved that the method of determining lead modification parameter is reliable by the simulation analysis.

A Novel Loaded Tooth Contact Analysis Procedure with Application to Internal-External Straight Bevel Gear Mesh in Pericyclic Drive

2020 ◽  
pp. 1-22
Author(s):  
Tanmay D. Mathur ◽  
Edward C. Smith ◽  
Robert C. Bill
Keyword(s):  
Gear Tooth ◽  
Contact Analysis ◽  
Bevel Gear ◽  
Gear Train ◽  
Initial Surface ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Gear Mesh ◽  
Number Of Teeth ◽  
Loaded Tooth Contact Analysis

Abstract A comprehensive numerical loaded tooth contact analysis (LTCA) model is proposed for straight bevel gears that exhibit large number of teeth in contact, well beyond involute line of action limits. This kind of contact is observed when the meshing gears have conformal surfaces, as in a Pericyclic mechanical transmission, and is traditionally analysed using finite element simulations. The Pericyclic drive is kinematically similar to an epicyclic bevel gear train, and is characterized by load sharing over large number of teeth in an internal-external bevel gear mesh, large shaft angles (175° - 178°), nutational gear motion, and high reduction ratio. The contact region spreads over a large area on the gear tooth flank due to high contacting surface conformity. Thus, a thick plate Finite Strip method (FSM) was utilized to accurately calculate the gear tooth bending deflection. Based on tooth deformation calculation model, and accounting for initial surface separation, a variational framework is developed to simultaneously solve for load distribution and gear tooth deformation. This is followed by calculation of contact stress, bending stress, mesh stiffness, and transmission error. The results demonstrate the high power density capabilities of the Pericyclic drive and potential for gear noise reduction. The model developed herein is applied with real gear tooth surfaces, as well.

Mathematical Model of Klingelnberg Cyclo-Palloid Hypoid Gear

2013 ◽  
Vol 341-342 ◽  
pp. 572-576 ◽  
Author(s):  
Jin Fu Du ◽  
Zong De Fang ◽  
Min Xu ◽  
Xing Long Zhao ◽  
Yu Min Feng
Keyword(s):  
Mathematical Model ◽  
Contact Analysis ◽  
Tooth Surface ◽  
Hypoid Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Hypoid Gears ◽  
Tooth Surfaces ◽  
Normal Vectors

The geometry of the tooth surface is important for tooth contact analysis, load tooth contact analysis and the ease-off of gear pairs. This paper presents a mathematical model for the determination of the tooth geometry of Klingelnberg face-hobbed hypoid gears. The formulation for the generation of gear and pinion tooth surfaces and the equations for the tooth surface coordinates are provided in the paper. The surface coordinates and normal vectors are calculated and tooth surfaces and 3D tooth geometries of gear and pinion are obtained. This method may also applied to other face-hobbing gears.

Helical Gears With Involute Shaped Teeth: Geometry, Computer Simulation, Tooth Contact Analysis, and Stress Analysis

1988 ◽  
Vol 110 (4) ◽  
pp. 482-491 ◽  
Author(s):  
Chung-Biau Tsay
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Computer Program ◽  
Stress Analysis ◽  
Contact Analysis ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Helical Gears ◽  
Bearing Contact ◽  
Kinematic Errors

The paper covers the solutions to the following problems: (1) Setting up a mathematical model for the involute helical gears; (2) Computer simulation of the conditions of meshing and bearing contact; (3) Investigation of the sensitivity of gears to the errors of manufacturing and assembly; and (4) Stress analysis of the gears. In this paper, the theory of gearing and the concept of differential geometry have been applied to deal with the relations of two mating helical gears and their bearing contact. Computer program for tooth contact analysis (T.C.A.) has been developed for the gears. The T.C.A. computer program makes it possible to simulate gear meshing and bearing contact, and to investigate the influence of gear misalignment on kinematic errors. A method of compensation for the dislocation of bearing contact and for kinematic errors induced by errors of manufacturing and assembly has been proposed. Four numerical examples have also been presented to illustrate the influence of the above-mentioned errors and the method of compensation for the dislocation of bearing contact. Based on the derived mathematical model, an automatic mesh generating computer program—AMG has been developed to define the geometry of the gears and to divide the gear tooth into elements as well as to generate nodal points automatically. The results of T.C.A. provide the locations and directions of the applied loadings for the finite element method (F.E.M.) stress analysis.

A Lubrication Model of Elliptical Point Contact for Spiral Bevel Gears With Asymmetric Varying Velocity

2019 ◽  
Author(s):  
Srikumar C. Gopalakrishnan ◽  
Teik C. Lim ◽  
Yawen Wang
Keyword(s):  
Film Thickness ◽  
Thickness Distribution ◽  
Point Contact ◽  
Contact Analysis ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Rolling Velocity ◽  
Gear Mesh ◽  
Spiral Bevel ◽  
Ellipticity Ratio

Abstract In this work, elliptical contact is modeled in spiral bevel gear with a suitable ellipticity ratio. The elliptical point contact is modeled using constant velocity and varying velocity with side leakage. A loaded tooth contact analysis was carried out to determine the kinematic and gear mesh force developed during one mesh cycle. The kinematic parameters of the meshing gear pair, namely the contact cells, rolling velocity, sliding velocity and the load distribution in one mesh cycle are used in the elliptical point contact calculation to calculate the pressure and film thickness distribution. The effect of elliptical point contact and varying velocity on the pressure and film thickness distribution are studied. The time-varying contact parameters which are obtained from the tooth contact analysis are used in the tribological calculations. The effect of shaft misalignments on the elastohydrodynamic pressure distribution is also studied in this work.

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.

Analysis of the Mesh Characteristics of Hypoid Gear Pair Dynamics

2003 ◽  
Author(s):  
Hongbin Wang ◽  
Teik C. Lim
Keyword(s):  
Normal Load ◽  
Theoretical Data ◽  
Contact Analysis ◽  
Time Varying ◽  
Gear Pair ◽  
Hypoid Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Gear Mesh ◽  
Load Line

Most of the current models employed in analyzing the dynamics of hypoid or bevel gear pair systems are based on approximate representations of the tooth meshing kinematics. The approximate gear mesh representations that account for tooth contact position and load line of action vector are normally derived from experimental observations or semi-empirical considerations. Moreover, the resultant dynamic model is often linear with time-invariant coefficients. The fundamental behavior of the time-varying mesh points and load line of action vectors, which can be important characteristics of the hypoid gear pair system, have not been fully explored. To address this issue more in-depth, the current study examines the inherent spatial and time-varying tooth meshing positions and normal load vectors of typical hypoid gear pairs applied in automotive systems. Numerical results of the quasi-static gear tooth contact analysis using 3-dimensional finite element models are compared to the theoretical data produced by a set of analytical tooth contact analysis equations based strictly on gear geometry formulation. The potential effects of gear meshing characteristics on dynamic transmission error as well as torsional vibration response are also discussed.

Sign in / Sign up

Export Citation Format

Share Document