scholarly journals Mathematical model to determination of resharpening territory of Conical Hob

2014 ◽  
Vol 8 (2) ◽  
pp. 45-50
Author(s):  
Illés Dudás ◽  
Sándor Bodzás
Keyword(s):  
Mathematical Model ◽  
Critical Angle ◽  
Worm Gear ◽  
Tooth Surface ◽  
Face Gear ◽  
Axial Section ◽  
Gear Drive ◽  
The Face ◽  
Conical Worm

Based on the general mathematical model of Illés Dudás which is appropriate for mathematical modelling of production technology methods we have worked out a model for resharpening analysis of conical hob. After the hob resharpening using numerical calculations the determination of the tooth surface of face gear by cutting edges is necessary for the analysis. Based on this methods we could calculate the permissible critical angle of the hob and the profiles of the hob and the face gear in axial section. The permissible critical angle of the hob is the critical angle the hob cutting edge of which manufactured face gear profile is situated in the permissible profile error tolerance. We have worked out a new geometric conical worm gear drive that is the conical worm gear drive having arched profile. Using this mathematical model we have done resharpening analysis for the hob having arched profile and determined the permissible critical angle.

Application of the general mathematical model for CAD modelling of cylindrical and conical worm gear drives

2015 ◽  
Vol 6 (1) ◽  
pp. 71-75
Author(s):  
I. Dudás ◽  
S. Bodzás
Keyword(s):  
Mathematical Model ◽  
Geometric Analysis ◽  
Worm Gear ◽  
Tooth Surface ◽  
Cad Modelling ◽  
Cad Models ◽  
General Mathematical Model ◽  
Gear Drives ◽  
Conical Worm

Based on the general mathematical model of Dudás [3, 4] — which is appropriate for mathematical modelling of production technology methods and various toothed gear pairs — we have generated mathematical models which are appropriate for determination of tooth surface points of face gear and worm gear connection with conical and cylindrical worm by numerical way. After doing the necessary calculations, the CAD models of the worm gear drives could be generated. Based on these there is an opportunity for rapid prototyping (RP) technology for other connection and production geometric analysis. For the verification of our calculated results, we generate CAD models of one to one given geometric conical and cylindrical worm gear drives for other analysis.

Research on Meshing Characteristics for Face Gear with Arcuate Tooth

2011 ◽  
Vol 86 ◽  
pp. 39-42
Author(s):  
Xiang Wei Cai ◽  
Zong De Fang ◽  
Jin Zhan Su
Keyword(s):  
Contact Analysis ◽  
Tooth Surface ◽  
Face Gear ◽  
Tooth Contact Analysis ◽  
Surface Equation ◽  
Transmission Errors ◽  
Gear Drive ◽  
Parabolic Function ◽  
The Face ◽  
Meshing Characteristics

The generating of face gear with arcuate tooth has been proposed in this paper, and the meshing characteristics are investigated. Based on the concept of imaginary gear cutter, tooth surface equation has been derived, flank modification has also been considered. The transmission errors and bearing contacts of the face gear drive with arcuate tooth under different assembly conditions are investigated by applying the tooth contact analysis. The numerical results reveal that the bearing contacts are not sensitive to the errors of misalignments, and a more favorable type parabolic function of transmission errors with better symmetry and reduced amplitude may be obtained according to the modification of the face gear.

scholarly journals Comparative Finite Element Method Analysis of Spiroid Worm Gear Drives Having Arched Profile and Having Linear Profile in Axial Section

2014 ◽  
Vol 11 (1) ◽  
pp. 25-29
Author(s):  
Sándor Bodzás ◽  
Illés Dudás
Keyword(s):  
Finite Element Method ◽  
Worm Gear ◽  
Finite Element Method Analysis ◽  
Axial Section ◽  
Linear Profile ◽  
Gear Drive ◽  
Gear Drives ◽  
Conical Worm ◽  
Spiroid Worm ◽  
Method Analysis

Abstract With the knowledge of the advantageous characteristics of the cylindrical worm gear drives having arched profile in axial section and the conical worm gear drives having linear profile in axial section, a new geometric type conical worm gear drive has been designed and then manufactured, that is the conical worm gear drive having arched profile in axial section. Beside similar charging and marginal conditions in case of the same geometric spiroid worm gear drives having arched profile and having linear profile in axial section we have done comparative finite element method analysis for awarding of the strains, deformations and stresses of this gear drives.

The Production Geometric Analysis of the New Type, Spiroid Worm Gear Drive Having Arched Profile

2013 ◽  
Author(s):  
Illés Dudás ◽  
Sándor Bodzás
Keyword(s):  
Geometric Analysis ◽  
Research Field ◽  
Worm Gear ◽  
Axial Section ◽  
Gear Drive ◽  
New Type ◽  
Application Fields ◽  
The University ◽  
Conical Worm ◽  
Spiroid Worm

In the last few decades in Hungary, the Budapest University of Technology and Economics and the University of Miskolc have been intensively focusing on the research field of worm gear drives [2, 5]. Our results at the University of Miskolc have also been published in a book published in the USA as well [2]. A new geometric worm gear drive has been developed, that is the conical worm gear drive having arched profiled in axial section [3]. The aim of our publication is to present the advantages, the geometric questions and the possible application fields of this new type worm gear drive.

scholarly journals Evaluation and Optimization of the Oil Jet Lubrication Performance for Orthogonal Face Gear Drive: Modelling, Simulation and Experimental Validation

Energies ◽  
2019 ◽  
Vol 12 (10) ◽  
pp. 1935 ◽  
Author(s):  
Yu Dai ◽  
Feiyue Ma ◽  
Xiang Zhu ◽  
Qiao Su ◽  
Xiaozhou Hu
Keyword(s):  
Mathematical Model ◽  
Volume Fraction ◽  
Tooth Surface ◽  
Design Parameters ◽  
Gear Pair ◽  
Face Gear ◽  
Gear Drive ◽  
Lubrication Performance ◽  
Jet Nozzle ◽  
Oil Jet

The oil jet lubrication performance of a high-speed and heavy-load gear drive is significantly influenced and determined by the oil jet nozzle layout, as there is extremely limited meshing clearance for the impinging oil stream and an inevitable blocking effect by the rotating gears. A novel mathematical model for calculating the impingement depth of lubrication oil jetting on an orthogonal face gear surface has been developed based on meshing face gear theory and the oil jet lubrication process, and this model contains comprehensive design parameters for the jet nozzle layout and face gear pair. Computational fluid dynamic (CFD) numerical simulations for the oil jet lubrication of an orthogonal face gear pair under different nozzle layout parameters show that a greater mathematically calculated jet impingement depth results in a greater oil volume fraction and oil pressure distribution. The influences of the jet nozzle layout parameters on the lubrication performance have been analyzed and optimized. The relationship between the measured tooth surface temperature from the experiments and the corresponding calculated impingement depth shows that a lower temperature appears in a situation with a greater impingement depth. Good agreement between the mathematical model with the numerical simulation and the experiment validates the effectiveness and accuracy of the method for evaluating the face gear oil jet lubrication performance when using the impingement depth mathematical model.

scholarly journals Modelling, design and analysis of offset, non-orthogonal and profile-shifted face gear drives

2018 ◽  
Vol 10 (9) ◽  
pp. 168781401879825 ◽  
Author(s):  
Xuezhong Fu ◽  
Zongde Fang ◽  
Yanmei Cui ◽  
Xiangying Hou ◽  
Jianhua Li
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Contact Analysis ◽  
Tooth Surface ◽  
Face Gear ◽  
Tooth Contact Analysis ◽  
Gear Drive ◽  
Tooth Width ◽  
Alignment Errors ◽  
Gear Drives

This article proposes the application of a profile-shifted grinding disc to generate an offset, non-orthogonal and profile-shifted face gear. A detailed investigation of the modelling, tooth geometry and contact characteristics of the offset, non-orthogonal and profile-shifted face gear has been conducted. The mathematical models of the profile-shifted shaper cutter, profile-shifted pinion, profile-shifted grinding disc and offset, non-orthogonal and profile-shifted face gear are established. Considering the topological modification, the tooth surface equation of the offset, non-orthogonal and profile-shifted face gear is deduced. Based on the undercutting and pointing of the tooth surface, the limiting tooth width of the offset, non-orthogonal and profile-shifted face gear is determined, and a mathematical model of tooth contact analysis of the offset, non-orthogonal and profile-shifted face gear drive is established with the alignment errors. Using the approach presented in this article, an example of an offset, non-orthogonal and profile-shifted face gear drive and analytical results are presented.

Comparative finite element method analysis of two spiroid worm gear drives having different profiles

2015 ◽  
Vol 6 (1) ◽  
pp. 31-39
Author(s):  
S. Bodzás ◽  
I. Dudás
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Worm Gear ◽  
Finite Element Method Analysis ◽  
Axial Section ◽  
Gear Drive ◽  
Gear Drives ◽  
Conical Worm ◽  
Spiroid Worm ◽  
Method Analysis

With the knowledge of the advantageous characteristics of the cylindrical worm gear drives having arched profile in axial section and the conical worm gear drives having linear profile in axial section, a new geometric type conical worm gear drive has been designed and then manufactured, that is the conical worm gear drive having arched profile in axial section. Under same load and boundary conditions in case of the same geometric spiroid worm gear drives having arched profile and having linear profile in axial section we have done comparative finite element method analysis for evaluating the strains, deformations and stresses of this gear drives.

Mathematical Model and Tooth Surface Representation of Face-Gear Drive with Curvilinear-Tooth Cylindrical Gear

2012 ◽  
Vol 426 ◽  
pp. 93-96 ◽  
Author(s):  
Wen Jin Wang ◽  
Jing Zhang ◽  
Zhi Qiang Zhang ◽  
J. Zhao ◽  
L. L. Zhang ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Differential Geometry ◽  
Gear Tooth ◽  
Tooth Surface ◽  
Face Gear ◽  
Surface Representation ◽  
Cylindrical Gear ◽  
Gear Drive

A tilted head-cutter is considered the generating tool for the generation of the proposed face-gear and a mathematical model of face-gear with curvilinear shaped teeth is developed according to the differential geometry and meshing theory. The generation of a conjugated pinion is based on application of a tilted head-cutter as well. Computer graphs of the gear with curvilinear shaped teeth are presented based on the developed gear’s mathematical model, and then the equation of the gear-tooth surface is deduced. An example is presented to demonstrate the application of the proposed mathematical model.

Geometry design, three-dimensional modeling and kinematic analysis of orthogonal fluctuating gear ratio face gear drive

2012 ◽  
Vol 227 (4) ◽  
pp. 779-793 ◽  
Author(s):  
Chao Lin ◽  
Hai Gong ◽  
Ning Nie ◽  
Qinlong Zen ◽  
Lei Zhang
Keyword(s):  
Design Method ◽  
Angular Displacement ◽  
Three Dimensional ◽  
Angular Acceleration ◽  
Gear Ratio ◽  
Tooth Surface ◽  
Coordinate Systems ◽  
Face Gear ◽  
Gear Drive ◽  
The Face

As the current research of face gear drive cannot realize fluctuating gear ratio, a design method of orthogonal fluctuating gear ratio face gear drive is proposed. The mathematical model of orthogonal fluctuating gear ratio face gear drive is found based on the space engagement theory. The equation of the pitch curve, addendum curve and dedendum curve of face gear are derived. The design method of tooth surface of the face gear is available based on the envelope method. The conversion relationship of enveloping coordinate systems is obtained during the enveloping process of orthogonal fluctuating gear ratio face gear drive after the establishment of enveloping coordinate systems. Then combining with equation of generating surface, the tooth surface equation of the face gear is obtained. The three-dimensional model of orthogonal fluctuating gear ratio face gear is acquired on the basis of a modeling program, which is developed under the environment of VB and Solidworks (API). Furthermore, localization of the bearing contact is achieved by the manufacturing method and it is justified by the finite element method analysis result. Finally, the kinematics of the orthogonal fluctuating gear ratio face gear drive is analyzed, and the change laws of transmission ratio, angular displacement and angular acceleration of the face gear are acquired.

Kinematic Study of the Face Gear

1990 ◽  
Author(s):  
Yih-Jen Dennis Chen
Keyword(s):  
Computer Program ◽  
Mathematical Description ◽  
Design Automation ◽  
Gear Tooth ◽  
Tooth Surface ◽  
Face Gear ◽  
Gear Drive ◽  
Face Width ◽  
Kinematic Study ◽  
The Face

Abstract This paper presents the kinematic study of the face gear drive system. The study includes three different configurations which are: (1) the on-center orthogonal face gear drive, (2) the on-center non-orthogonal face gear drive, and (3) the offset orthogonal face gear drive. The mathematical description for the gear meshing and the resulting face gear tooth surface is developed. This paper also presents the criteria for detecting the limitation of the effective face width due to tooth pointing and undercutting. The technique presented is applied to develop a computer program. This design automation tool allows visualizing the gear meshing and tooth geometry of the face gear drive.

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