Measurement and Control Software for Transmission Error of Bevel Gear Pair

Author(s):  
Binghe Wang ◽  
Jie Tang ◽  
Zhaoyao Shi

In order to measure the transmission error of bevel gear pair, a measurement method of transmission error based on the best mounting distance was introduced. The algorithm of adjustment of the best mounting distance was presented, and the single flank testing of bevel gear pair was carried out on this position. The evaluation of transmission error and frequency spectrum was described. Measurement and control software was developed including the function of data acquisition and processing and graphic display, optimizing search of best mounting distance and SPC statistical analysis. The class diagram, the sequence diagram, the test case diagram and the main interface of the software was designed. The experiment was carried out that the mounting distance on 130.0mm of pinion is the best mounting distance according to the value of the factor F 0.699. Under the best mounting distance, the total tangential composite deviation is 79.27μm. The method and the software mentioned in this paper can be used in measurement of the bevel gear pair or the face gear pair.

2019 ◽  
Vol 11 (6) ◽  
pp. 168781401985951 ◽  
Author(s):  
Lei Liu ◽  
Jinzhao Zhang

This article presents a sphere–face gear pair by substituting the convex spherical gear for the pinion of a conventional face gear pair. The sphere–face gear pair not only maintains the advantages of the face gear pair with a longitudinally modified pinion but also allows variable shaft angles or large axial misalignments. Meshing characteristics of the proposed gear pair are studied in this article. The mathematical models of the sphere–face gear pair are derived based on machining principles. The tooth contact analysis (TCA) and curvature interference check are conducted for the sphere–face gear pair with variable shaft angles. The loaded TCA is also implemented utilizing the finite element method. The results of numerical examples show that proposed gear pair has the following features. Geometrical transmission error of constant shaft angle or varying shaft angle is zero; contact points of the sphere–face gear set with variable shaft angle are located near the centre region of face gear tooth surface; there is no curvature interference in meshing; and transmission continuity of the gear pair can be guaranteed in meshing.


Author(s):  
Colin-Yann Jacquin ◽  
Michèle Guingand ◽  
Jean-Pierre de Vaujany ◽  
Daniel Play

Abstract This paper presents an analytical method developed to design and study the tooth geometry and contact characteristics of helical face gears. The tooth geometry is first defined while simulating the meshing of the face gear with the shaper used to cut it. A second meshing simulation is then performed between the face gear and the meshing pinion to determine some characteristics of kinematics, i.e. exact location of contact points, theoretical contact ratio, kinematics transmission error. The computation method is very general and allows to study several types of face gears : crossed axes or offset, varying shaft angle, spur or helical pinion. Cutting and assembling errors are also included in the simulations. The study has shown the influence of the different errors on the kinematics characteristics. Relative sensibility of helical face gears under various misalignments has been also established.


2011 ◽  
Vol 86 ◽  
pp. 428-433
Author(s):  
Ping Jiang ◽  
Guang Lei Liu ◽  
Rui Ting Zhang ◽  
Chong Qing Wang

In order to precisely control the meshing performance of spiral bevel gear pair, this paper represents a quantitative evaluation method using transmission error curve and tooth face contact trace. The design, using local synthesis method, obtains the manufacturing parameters of gear pair and forms the tooth face of spiral bevel gear. This paper accomplishes the quantitative evaluation by the following methods: using tooth contact analysis (TCA) to obtain actual transmission error curve and tooth face contact trace; quantitatively evaluating the transmission error curve by comparing the web values of actual and preset theoretical transmission error curves; quantitatively evaluating the tooth face contact trace by comparing the requirements (such as in shape, size and position) defined for spiral bevel gear tooth face contact trace and the corresponding parameters of an externally-connected rectangle, which surrounds the tooth face contact trace and is used to describe tooth face contact trace. This paper conducts a meshing performance analysis and quantitative evaluation of an aero spiral bevel gear pair. The result shows that, the actual and preset theoretical transmission error curves are basically in coincidence and the tooth face contact trace meets the requirements. This quantitative evaluation method lays a foundation for analyzing the relationship between transmission error curve and tooth face contact trace and for analyzing the installation error sensitivity.


2019 ◽  
Vol 6 (1) ◽  
pp. 310-328
Author(s):  
Dr. Bodzás Sándor

The aim of this publication is the designing and the CAD modelling of the Gleason – type bevel gear pair and the analysis of the connecting teeth in case of different load moments. The main properties of this gear pair are the changing whole depth along the face width and the circular tooth direction which is created by a complicated cutting tool. Cutting edges are situated along the perimeter of the middle circle by equal circular pitches on the cutting tool. After the creation of the CAD model, which could be created by numerical way, TCA could be done in the function of the moment changing. The normal stress, normal elastic strain and normal deformation will be analyzed on the surface of the driven gear perpendicularly for the tooth surface. Knowing of the results correlations will be visualized based on the TCA results and the load moments. The behavior of the contact teeth will be analyzed.


Author(s):  
Wen OuYang ◽  
Ancheng Wang ◽  
Lixing Jiang ◽  
Youyi Gu ◽  
Chenyang Li

Author(s):  
Min Hwa Jeong ◽  
Noh Gill Park ◽  
Hyoung Woo Lee

The development of shifted spherical involute bevel gear will lead to increased flexibility and convenience in the design of the cross-axis gear system. The shifted spherical involute bevel gear is identified by the axis angle change between the crown rack and work piece. The new design formula for the shifted spherical involute bevel gear pair was derived mathematically from the condition that the arc length sum of the pinion and gear base cones is same as that of the disk of action. Using the formula, it was shown that a bevel gear pair can fit the design requirements with great flexibility. The gear transmission error of the designed and CNC processed gear pair was directly measured to experimentally verify its validity.


2017 ◽  
Vol 870 ◽  
pp. 185-190
Author(s):  
Tetsuo Inoue ◽  
Syuhei Kurokawa

This report discusses how a transmission error curve is derived by a coordinate measuring machine, and the result by a coordinate measuring machine is compared with the result by a transmission error measuring machine. A vibration based on a gear pair engagement in fishing reel occurs when a handle of the reel rotates. When this vibration is large, an angler feels uncomfortable. In author’s previous reports, it is known that a rotational feeling depends on the transmission error curve. The result indicates that the rotational feeling can be improved if the accuracy of a tooth flank is improved. In order to reduce the transmission error, the error should be measured in high accuracy. In this research, a measurement method for evaluating the rotational feeling was reported using a face gear pair via a coordinate measuring machine and a transmission error measuring machine. As a result, it was confirmed that the result of measurement by the coordinate measuring machine agrees very well with the result of measurement by the transmission error measuring machine.


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