scholarly journals Analytical Calculation of the Tooth Surface Contact Stress of Cylindrical Gear with Variable Hyperbolic Circular-Arc-Tooth-Trace

Symmetry ◽  
2020 ◽  
Vol 12 (8) ◽  
pp. 1318
Author(s):  
Yongqiao Wei ◽  
Rui Guo ◽  
Yongping Liu ◽  
Changbin Dong ◽  
Dawei Li ◽  
...  
Keyword(s):  
Contact Stress ◽  
Contact Fatigue ◽  
Tooth Surface ◽  
Element Analysis ◽  
Cylindrical Gear ◽  
Circular Arc ◽  
Contact Fatigue Strength ◽  
Maximum Contact Stress ◽  
Tooth Width ◽  
Maximum Contact

In order to theoretically research the tooth surface maximum contact stress of a Cylindrical Gear with Variable Hyperbolic Circular-Arc-Tooth-Trace (VH-CATT), the computing formula of maximum contact stress of VH-CATT cylindrical gear is investigated according to Hertz formula in this paper. Insufficient contact fatigue strength will lead to pitting corrosion, plastic deformation of tooth surface and other damages. Therefore, the maximum contact stress of tooth surface must be carried out. The contact stress calculation formula is particularly considering the effect of normal force, total carrying length, synthetical curvature radius, and position angle. The present work establishes analytical solutions to research the effect of different parameters for the contact stress of VH-CATT cylindrical gear incorporating elastic deformation on the tooth surface, and which have shown that the different module, transmission ratio, pressure angle, tooth width, and the cutter head radius have a crucial effect on the contact stress and contact ellipse of VH-CATT cylindrical gear along the tooth width direction. Moreover, a finite element analysis is carried out to verify the correctness of the theoretical computing formula of contact stress of VH-CATT cylindrical gear. By contrast with the theoretical calculated value and the stress value of finite element analysis, its error is very small. It is indicated that the derived formula of contact fatigue strength of VH-CATT cylindrical gear has high accuracy and can accurately reflect the real contact stress value of tooth surface, which is beneficial for research on tooth break reduction, pitting, wear resistance and fatigue life improvement of the VH-CATT cylindrical gear. The study results also have a certain reference value for the design and check calculation of the VH-CATT cylindrical gear.

Finite Element Analysis for Gear Contact Based on UG and ABAQUS

2013 ◽  
Vol 442 ◽  
pp. 229-232 ◽  
Author(s):  
Li Mei Wu ◽  
Fei Yang
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Contact Stress ◽  
Three Dimensional ◽  
Element Model ◽  
Tooth Surface ◽  
Element Analysis ◽  
Tooth Width ◽  
Gear Contact ◽  
Maximum Contact

According to the cutting theory of involute tooth profile, established an exact three-dimensional parametric model by UG. Used ABAQUS to crate finite element model for gear meshing. After simulated the meshing process, discussed the periodicity of the tooth surface contact stress. Based on the result of finite element analysis, made a comparison of the maximum contact stress between finite element solution and Hertz theoretical solution, analyzed the contact stress distribution on tooth width, and researched the effect of friction factor on contact stress. All that provided some theoretical basis for gear contact strength design.

scholarly journals Development of a nomogram to predict the contact stress between an I-girder and a support roller

2021 ◽  
Vol 9 (4) ◽  
pp. 377-390 ◽  
Author(s):  
Thanin Chanmalai ◽  
Byungik Chang ◽  
Kevin Misaro ◽  
Saron Hagos ◽  
Thippesh Bethur Hanumanthareddy
Keyword(s):  
Numerical Modeling ◽  
Contact Stress ◽  
Contact Stresses ◽  
Primary Objective ◽  
Steel Bridge ◽  
Element Analysis ◽  
Maximum Contact Stress ◽  
Environmentally Sensitive Areas ◽  
Support Roller ◽  
Maximum Contact

The incremental launching method (ILM) is an efficient method of bridge construction primarily suited for environmentally sensitive areas. However, during the bridge launching, there are significant contact stresses between the launching system and the steel bridge girders. These substantial contact stresses can cause damage both on, and just under, the girder surface. Although Hertz contact theory solutions may give an insight into the problem, the accuracy is uncertain due to the presence of complex geometries, loads, and material properties. The complicated structural systems need to rely on numerical modeling such as the finite element analysis which are not always available. The primary objective of this study is to estimate the relationship of the maximum contact stress between an I-girder and a roller using a nomogram. The nomogram is built based on a parametric study with various roller dimensions and loads by numerical modeling. The maximum contact stress from the nomogram can be a useful tool in designing a bridge girder on a support roller.

Tooth Surface Contact Fatigue Reliability Analysis of Cycloidal Gear Based on Monte-Carlo

2012 ◽  
Vol 605-607 ◽  
pp. 811-814 ◽  
Author(s):  
Tian Min Guan ◽  
Jiang Bo Li ◽  
Lei Lei
Keyword(s):  
Monte Carlo ◽  
Fatigue Strength ◽  
Reliability Analysis ◽  
Contact Stress ◽  
Contact Fatigue ◽  
Tooth Surface ◽  
Fatigue Reliability ◽  
Contact Fatigue Strength ◽  
Design Variables ◽  
Distribution Laws

All sorts of design variables and parameters are often regarded as fixed values in the traditional design, it cannot describe quantitatively how well the products are safe. It is necessary to make a reliability analysis of cycloidal gear, which is the key part of FA pin-cycloidal transmission, this paper uses Monte-Carlo method to simulate and test the distribution laws of the contact stress and the contact fatigue strength of cycloidal gear, which indicates that the contact stress obeys the normal distribution and the contact fatigue strength obeys the lognormal distribution, besides, makes a sensitivity analysis of the random parameters, all these work lay the foundation for the reliability analysis of the whole reducer.

Research on Contact Fatigue of Cylindrical Gear

2011 ◽  
Vol 415-417 ◽  
pp. 879-882
Author(s):  
Xue Yi Li ◽  
San Shuai Li ◽  
Da Qian Geng ◽  
Qing Liang Zeng
Keyword(s):  
Contact Stress ◽  
Dynamic Balance ◽  
Influence Factors ◽  
Contact Fatigue ◽  
Fatigue Properties ◽  
Gear Pair ◽  
Transient Dynamic Analysis ◽  
Element Analysis ◽  
Cylindrical Gear ◽  
Balance Principle

Based on the dynamic balance principle and contact fatigue properties of cylindrical gear pair, the influence factors of dynamics are researched and the meshing location for the maximum contact stress is accurately determined. Loading spectrum of contact stress is obtained by transient dynamic analysis. At the same time, the corresponding S-N curve for contact fatigue is described in a double logarithmic coordinate system. Then the finite element analysis on the contact fatigue life is carried out by ANSYS Workbench and safety factor for both gears are obtained. It has great significance for evaluating the reliability of the cylindrical gear pair.

Theoretical and experimental analyses of spiral bevel gears with two contact paths

2017 ◽  
Vol 232 (4) ◽  
pp. 665-676 ◽  
Author(s):  
Rulong Tan ◽  
Bingkui Chen ◽  
Dong Liang ◽  
Changyan Peng
Keyword(s):  
Differential Geometry ◽  
Contact Stress ◽  
Logarithmic Spiral ◽  
Transmission Efficiency ◽  
Tooth Surface ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Generating Method ◽  
Spiral Bevel ◽  
Maximum Contact

This paper investigates the geometrical design principal of the spiral bevel gears with two contact paths from spatial conjugate curve theory. Differential geometry and gearing kinematics are introduced to derive this model. In this process, the calculation method of contact paths and tooth surface generating method are presented. According to the arguments in this paper, a process of designing the tooth surface of logarithmic spiral bevel gears with two contact paths is investigated. Then, through this process, the design of a pair of logarithmic spiral bevel gears with two contact paths is completed. Besides, the prototype is manufactured and the performance experiment is completed. Results show the maximum contact stress of spiral bevel gears with two contact paths is reduced compared to those with one contact path. Besides, the transmission efficiency of the spiral bevel gears with two contact paths can reach 98.2%.

Tooth Surface Contact Stress Analysis of the Straight Bevel Gear Axial Practice

2013 ◽  
Vol 401-403 ◽  
pp. 345-349
Author(s):  
Jia Jia Lou ◽  
Xue Mei Cao ◽  
Ji Song Jiao
Keyword(s):  
Stress Analysis ◽  
Contact Stress ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Element Analysis ◽  
Surface Distribution ◽  
Straight Bevel Gear ◽  
Static Contact ◽  
Contact Models ◽  
Grid Nodes

The program of tooth surface and gear inside grid nodes is developed according to the tooth surface equation. Finite Element Analysis of the straight bevel gear axial practice model is established. Order flow contact models of the three teeth and contact pair of gears of the three teeth is developed by APDL language of ANSYS. The static contact stress analysis of axial practice is constructed. The static contact stress of tooth surface distribution and change rule is obtained by calculating. The result shows that axial practice pair of gears of have good meshing performance.

Based on the Finite Element Method for Gear and Rack Research on Contact Fatigue Strength of Study

2012 ◽  
Vol 569 ◽  
pp. 339-342
Author(s):  
Yong Xiang Li ◽  
Lei Yang ◽  
Ming Xu Wang ◽  
Zhen Wang
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Fatigue Strength ◽  
Contact Fatigue ◽  
Development Trend ◽  
Current Status ◽  
Element Analysis ◽  
Existing Problems ◽  
Contact Fatigue Strength ◽  
Gear Rack

The paper summarizes gear experimental method of contract fatigue strength and the current status in domestic and overseas analyzes the experimental current situation, existing problems and the development trend; introduces the applications of finite element analysis used in contact fatigue strength calculation. On this basis, has given the finite element analysis method in the solution gear rack contact fatigue strength testing research measure and the mentality.

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