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.

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.

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 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.

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.

Comparative study of stress analysis of gears with different helix angle using the ISO 6336 standard and tooth contact analysis methods

2016 ◽  
Vol 230 (7-8) ◽  
pp. 1350-1358 ◽  
Author(s):  
Layue Zhao ◽  
Robert C Frazer ◽  
Brian Shaw
Keyword(s):  
Stress Analysis ◽  
Contact Stress ◽  
Helix Angle ◽  
Contact Analysis ◽  
Bending Stress ◽  
Contact Ratio ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Iso Standard ◽  
Analysis Methods

With increasing demand for high speed and high power density gear applications, the need to optimise gears for minimum stress, noise and vibration becomes increasingly important. ISO 6336 contact and bending stress analysis are used to determine the surface load capacity and tooth bending strength but dates back to 1956 and although it is constantly being updated, a review of its performance is sensible. Methods to optimise gear performance include the selection of helix angle and tooth depth to optimise overlap ratio and transverse contact ratio and thus the performance of ISO 6336 and tooth contact analysis methods requires confirmation. This paper reviews the contact and bending stress predicted with four involute gear geometries and proposes recommendations for stress calculations, including a modification to contact ratio factor Zɛ which is used to predict contact stress and revisions to form factor YF and helix angle factor Yβ which are cited to evaluate bending stress. The results suggest that there are some significant deviations in predicted bending and contact stress values between proposal methods and original ISO standard. However, before the ISO standard is changed, the paper recommends that allowable stress numbers published in ISO 6336-5 are reviewed because the mechanisms that initiate bending and contact fatigue have also changed and these require updating.

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