Study on the Processing and Simulation of End-Gear Based on CNC Theory

2014 ◽  
Vol 608-609 ◽  
pp. 77-80
Author(s):  
Li Mei Wang
Keyword(s):  
High Efficiency ◽  
Gear Wheel ◽  
Nc Machining ◽  
Processing Method ◽  
Bevel Gear ◽  
Hypoid Gear ◽  
Face Gear ◽  
Hypoid Gears ◽  
Machining Center ◽  
The Mathematical Model

Based on NC machining principle of hypoid gears and NC machining with high efficiency quality, This paper discusses the feasibility of the hypoid gear processing, establishes the mathematical model of face gear wheel hypoid milling machining adjustment, that will be take the basic data into vertical machining center machine tool. Through analyze the principle of the oscillating tooth face gear transmission, and compared the structure differences between face gear and bevel gear, and the realization processing method of face gear is discussed by improving the bevel gear shaper.

Study on the NC Machining Theory and Simulation of Hypoid Gear

2014 ◽  
Vol 539 ◽  
pp. 34-37
Author(s):  
Xiu Rong Zhu
Keyword(s):  
High Efficiency ◽  
Gear Wheel ◽  
Nc Machining ◽  
Cnc Machining ◽  
Hypoid Gear ◽  
Simulation Test ◽  
Machining Center ◽  
New Process ◽  
Wheel Blank ◽  
The Mathematical Model

Based on NC machining principle of hypoid gears and NC machining with high efficiency quality, This paper discusses the feasibility of the hypoid gear processing, establishes the mathematical model of face gear wheel hypoid milling machining adjustment, that will be take the basic data into vertical machining center machine tool, tool, fixture, the installation and adjustment of parameters, and we write a program of the CNC machining and corresponding code, combined with the specific wheel blank parameters to milling simulation test and milling tests, we obtain a new process methods.

A Mathematical Model for the Generated Gear Tooth Surfaces of Spiral Bevel and Hypoid Gears

2011 ◽  
Vol 314-316 ◽  
pp. 384-388
Author(s):  
Xun Cheng Wu ◽  
Jing Tao Han ◽  
Jia Fu Wang
Keyword(s):  
Mathematical Model ◽  
Gear Tooth ◽  
Unit Vector ◽  
Bevel Gear ◽  
Position Vector ◽  
Hypoid Gears ◽  
Tooth Surfaces ◽  
Spiral Bevel ◽  
The Mathematical Model ◽  
Gear Machine

It is an important and fundamental work to establish a general mathematical model for the gear tooth surfaces of spiral bevel and hypoid gears. Based on the three-axis CNC bevel gear machine, a mathematical model with the equations of the radial position vector, the normal unit vector and the second order parameters for the generated gear tooth surfaces of spiral bevel and hypoid gears is established. The mathematical model can be used for the gear tooth surfaces generated in different types on both the three-axis CNC bevel gear machine and the cradle bevel gear machine. As an application example of the mathematical model, the generating motions of the cradle bevel gear machine are determined.

Measuring the Flanks of a Bevel Gear Made by Heidenreich-Harbeck Cutting Machine

2012 ◽  
Vol 186 ◽  
pp. 163-168
Author(s):  
Faluvegi Erzsebet ◽  
Mate Csaba Zoltan ◽  
Cristea Luciana
Keyword(s):  
Mathematical Model ◽  
Coordinate Measuring Machine ◽  
Bevel Gear ◽  
Face Gear ◽  
Straight Bevel Gear ◽  
Machine Type ◽  
Cutting Machine ◽  
The Face ◽  
Measuring Machine ◽  
The Mathematical Model

This paper presents the mathematical model of the straight bevel gear flanks with octoid II teething which is measured with a coordinate measuring machine, type DEA Global Performance. The mathematical model is realized by theoretical equations which occur in the face gear. The experimental data, obtained by using the coordinate measuring machine, is analyzed and the compensation of the probe tip is calculated. The differences between the surfaces are determined.

Hobbing of Bevel and Hypoid Gears

2013 ◽  
Author(s):  
David B. Dooner
Keyword(s):  
Helical Gear ◽  
Bevel Gear ◽  
Gear Pair ◽  
Hypoid Gear ◽  
Hypoid Gears ◽  
Virtual Models ◽  
Spiral Angle

The paper presents a hyperboloidal hob cutter similar to a cylindrical hob cutter used to fabricate spur and helical gear elements today. This hyperboloidal cutter can be used to manufacture bevel and hypoid gear elements using an existing CNC hobbing machine. These bevel and hypoid gear elements can be either spur or spiral. This hyperboloidal hob cutter is entirely different from the circular face cutters today as part of face hobbing. A brief overview of the existing circular face cutting technology is presented along with some of its geometric limitations. Subsequently, concepts of the hyperboloidal hob cutter are presented. These concepts include crossed hyperboloidal gears, cutter spiral angle, invariant speed relations, and cutter coordinates. Two illustrative examples are presented to demonstrate the concept of the hyperboloidal hob cutter. The first example is a spur bevel gear pair and the second example is a spiral hypoid gear pair. Virtual models of the cutter in mesh with the gear elements are presented.

Function-Oriented Design and Verification of Point-Contact Tooth Surfaces of Spiral Bevel and Hypoid Gears with the Generated Gear

2010 ◽  
Vol 118-120 ◽  
pp. 675-680
Author(s):  
Xun Cheng Wu ◽  
Cong Li
Keyword(s):  
Mathematical Model ◽  
Point Contact ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Hypoid Gears ◽  
Contact Points ◽  
Tooth Surfaces ◽  
Spiral Bevel ◽  
The Mathematical Model ◽  
Gear Machine

Establishing a general technical platform for the function-oriented design of point-contact tooth surfaces of spiral bevel and hypoid gears is an important and fundamental work. Based on the three-axis CNC bevel gear machine, a general mathematical model for the generated gear tooth surfaces of spiral bevel and hypoid gears is established. According to the principle and the method for the function-oriented design of point-contact tooth surfaces, the locus of spatial tooth contact points on the tooth surface is described on the axial plane of the gear, and then the formulae for the design with the generated gear are derived from the mathematical model. The mathematical model and the formulae can be used in the function-oriented design of point-contact tooth surfaces with the gear generated in different types on both the three-axis CNC bevel gear machine and the conventional cradle one. A theoretical method for the verification of point-contact tooth surfaces is proposed and the formulae for the verification are presented. And lastly an example is given to demonstrate the function-oriented design of point-contact tooth surfaces of the hypoid gear drive with the generated gear.

Meshing and Bearing Analysis of Nutation Drive with Face Gear

2020 ◽  
Vol 13 (4) ◽  
pp. 352-365
Author(s):  
Guangxin Wang ◽  
Lili Zhu ◽  
Peng Wang ◽  
Jia Deng
Keyword(s):  
Contact Stress ◽  
High Efficiency ◽  
Transmission Ratio ◽  
Contact Strength ◽  
Hertz Contact ◽  
Face Gear ◽  
Compact Structure ◽  
Gear Teeth ◽  
Gear Drive ◽  
Number Of Teeth

Background: Nutation drive is being extensively investigated due to its ability to achieve a high reduction ratio with a compact structure and the potential for low vibration, high efficiency and design flexibility. However, many problems including the difficulty to process the inner bevel gear, less number of teeth in engagement and not being suitable for high-power transmission have restricted its development. Objective: The purpose of this paper is to analyze the contact strength of a patent about a new nutation drive developed based on meshing between two face gears, which has the advantages of both face gear and nutation drive, including large transmission ratio, large coincidence, small size, compact structure and strong bearing capacity. Methods: Based on the meshing principle and basic structure of the nutation face gear drive, the contact strength of nutation face gear transmission is analyzed by the Hertz contact analysis method and FEM method. Results: The maximum stress values of nutation face gear teeth are compared by two methods, which verify the accuracy of Hertz contact analytical method in calculating the contact strength of nutation face gear teeth. Furthermore, nine groups of three-dimensional models for the nutation face gear drive with a transmission ratio of 52 and different cutter parameters are established. Conclusion: The study analyzes the contact stress of fixed and rotary face gears in meshing with planetary face gears, and obtains the distribution law of contact stress and the influence of the number of teeth and parameters of the cutter on the load-carrying capacity.

Cutter Interchangeability for Spiral-Bevel and Hypoid Gear Manufacturing

2003 ◽  
Author(s):  
Claude Gosselin ◽  
Jack Masseth ◽  
Wei Liang
Keyword(s):  
Test Case ◽  
Hypoid Gear ◽  
Hypoid Gears ◽  
Manufacturing Operations ◽  
Before And After ◽  
Gear Manufacturing ◽  
Spiral Bevel ◽  
Tooth Flank ◽  
Tooth Flank Surface Topography ◽  
Flank Surface

In the manufacturing of spiral-bevel and hypoid gears, circular cutter dimensions are usually based on the desired performance of a gear set. In large manufacturing operations, where several hundred gear geometries may have been cut over the years, the necessary cutter inventory may become quite large since the cutter diameters will differ from one geometry to another, which results in used storage space and associated costs in purchasing and maintaining the cutter parts. Interchangeability of cutters is therefore of significant interest to reduce cost while maintaining approved tooth geometries. An algorithm is presented which allows the use of a different cutter, either in diameter and/or pressure angle, to obtain the same tooth flank surface topography. A test case is presented to illustrate the usefulness of the method: the OB cutter diameter of an hypoid pinion is changed from 8.9500" to 9.1000". CMM results and the comparison of the bearing patterns before and after change show excellent correlation, and indicate that the new pinion can be used in place of the original pinion without performance or quality problems. Significant cost reductions may be obtained with the application of the method.

Research on S-gear design, manufacturing and measuring based on NC machining center

2020 ◽  
pp. 095440542098134
Author(s):  
Shao-ying Ren ◽  
Yan-zhong Wang ◽  
Yuan Li
Keyword(s):  
Convex Surface ◽  
Coordinate Measuring Machine ◽  
Nc Machining ◽  
Tooth Profile ◽  
Numerical Control ◽  
Machining Center ◽  
Involute Gear ◽  
Measuring Machine ◽  
Gear Contact ◽  
Nc Machining Center

This article presents a method of design, manufacturing, and measuring S-gear. S-gear is a kind of gear whose tooth profile is an S-shaped curve. The sine (cosine) gear, cycloid gear, polynomial gear, and circular arc gear are all S-gears in essence. In the S-gear transmission, the concave surface of one gear and the convex surface of the other gear contact each other. Therefore, the power transmitted by S-gear is much larger than that of the convex-convex-contact involute gear. Some scholars have studied the characteristics of S-gear, but few have explored its manufacturing. In this article, the Numerical Control (NC) machining technology of S-gear is studied in detail for its industrial application. The polynomial curve is used to construct the tooth profile of the S-gear based on the Gear Meshing Theory. The mathematical model of polynomial S-gear is established, by which involute gear can be represented as a special S-gear. The steps of generating NC codes are described. Then, the S-gear sample is processed with an NC machining center. Finally, the sample is measured with a Coordinate Measuring Machine (CMM), and the measurement results show that the accuracy of the S-gear processed by the NC machining center reaches ISO6. This research provides a feasible approach for the design, manufacturing, and measuring of S-gear.

Simulation and Experimental Measurement of the Transmission Error of Real Hypoid Gears Under Load

2000 ◽  
Vol 122 (1) ◽  
pp. 109-122 ◽  
Author(s):  
Claude Gosselin ◽  
Thierry Guertin ◽  
Didier Remond ◽  
Yves Jean
Keyword(s):  
Measurement Data ◽  
Simulation Models ◽  
Transmission Error ◽  
Contact Analysis ◽  
Hypoid Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Hypoid Gears ◽  
Loaded Tooth Contact Analysis ◽  
Analysis Models

The Transmission Error and Bearing Pattern of a gear set are fundamental aspects of its meshing behavior. To assess the validity of gear simulation models, the Transmission Error and Bearing Pattern of a Formate Hypoid gear set are measured under a variety of operating positions and applied loads. Measurement data are compared to simulation results of Tooth Contact Analysis and Loaded Tooth Contact Analysis models, and show excellent agreement for the considered test gear set. [S1050-0472(00)00901-6]

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