Research on the Transmission Characteristics and Mechanical Mechanics of Dual Meshing Points in Involute-Circular Arc Tooth Gear

2014 ◽  
Vol 540 ◽  
pp. 83-87
Author(s):  
Jun Xiao ◽  
Xu Lei Deng ◽  
Jia Ning He ◽  
Wu Xing Ma ◽  
Jin Song Li ◽  
...  
Keyword(s):  
Contact Line ◽  
Coincidence Degree ◽  
Tooth Profile ◽  
Circular Arc ◽  
Gear Design ◽  
Tooth Gear ◽  
Profile Equation ◽  
Gear Contact ◽  
Gear Engagement ◽  
Meshing Process

The principle of gear engagement and the relevant knowledge of gear geometry were used to introduce the dual meshing points involute-circular arc tooth gear in detail. At the same time, use the derived equation of the contact line and the tooth profile equation to describe the gear meshing process. Derive to this gear formula of coincidence degree calculate, in order to improve the transmission theory of the gear. Combine the gear contact line equation, equation of the tooth profile and transmission analysis, studies the meshing performance and serve as a theoretical basis for the gear design and application.

Research on Meshing Theory and Simulation of Noninvolute Beveloid Gears with Crossed Axes

2013 ◽  
Vol 274 ◽  
pp. 229-232
Author(s):  
G.B. Yu ◽  
J.M. Wen ◽  
J.F. Nie ◽  
B. Dai
Keyword(s):  
Numerical Analysis ◽  
Contact Line ◽  
Tooth Profile ◽  
Normal Direction ◽  
Line Contact ◽  
Beveloid Gears ◽  
Profile Equation ◽  
Crossed Axes ◽  
Profile Errors ◽  
Tooth Profile Errors

Crossed axes noninvolute beveloid gears meshing with line contact has been studied in this paper. The engagement equation and tooth profile equation have been presented by applying the theory of gearing. Meanwhile the tooth profile errors and axial errors have been calculated by means of numerical analysis and provided a theoretical way to calculate the induced normal curvature along the normal direction of the contact line in this paper.

An Improved Method to Calculate the Meshing Stiffness of Helical Gear

2012 ◽  
Vol 482-484 ◽  
pp. 1285-1289
Author(s):  
Wei Yang ◽  
Yi Lin Huang ◽  
Hong Sun
Keyword(s):  
Contact Line ◽  
Helical Gear ◽  
Gear Pair ◽  
Improved Method ◽  
Meshing Stiffness ◽  
Gear Transmission System ◽  
Engagement Process ◽  
Helical Gear Pair ◽  
Gear Engagement ◽  
Meshing Process

The meshing-stiffness of a helical gear pair is one of important parameters to study dynamic characteristics of gear transmission system. However, the equation to solve the meshing stiffness is very complex and difficult to get it. We put up with an improved method to quickly calculate the meshing stiffness through analyzing the meshing process and characteristics of the helical gear pair. The obtained time-variant meshing stiffness curve matches the theoretic stiffness curve very well. The result is shown that the method for calculating contact line based on the helical gear engagement process and characteristics, can be understand intuitively and easily.

Design and Performance of a Curvilinear Circular-Arc Tooth Gear for Gear Pump Applications

2020 ◽  
Author(s):  
Logan T. Williams
Keyword(s):  
Spur Gear ◽  
Sound Level ◽  
Tooth Profile ◽  
Gear Pump ◽  
Gear Design ◽  
External Gear Pumps ◽  
Tooth Gear ◽  
Gear Pumps ◽  
Axial Profile ◽  
And Performance

Abstract The most common gear architecture used in external gear pumps is the spur gear with an involute tooth profile. The involute spur gear has many benefits, such as a constant line of action, tolerance to parallel misalignment, and ease of fabrication. However, the involute spur gear has two major drawbacks in pump applications: the tooth profile results in trapped pockets of fluid that contribute to pressure spikes and noise generation, and the straight axial profile further increases noise due to intermittent tooth shock during meshing. Current state-of-the-art pumps utilize helical gears to enable a gradual mesh to reduce noise and pressure pulsation, which results in an axial load induced on the gears during meshing. A novel gear design has been developed that eliminates axial gear loading while preserving a gradual mesh. A hybrid tooth profile eliminates the trapped fluid pocket while maintaining the benefits of an involute profile. Initial testing demonstrates an increase in volumetric efficiency by 10% and a reduction of sound level by 7 dB compared to a spur gear of the same size.

The Tooth Profile Design and Examination of Circular-Arc Gear Pump

2014 ◽  
Vol 672-674 ◽  
pp. 1604-1607
Author(s):  
Yang Zhou ◽  
Shuang Hui Hao ◽  
Ming Hui Hao
Keyword(s):  
Tooth Profile ◽  
Gear Pump ◽  
Helical Surface ◽  
Circular Arc ◽  
Engagement Theory ◽  
Flow Fluctuations ◽  
Profile Design ◽  
The Mathematical Model ◽  
Gear Engagement ◽  
Examination Process

This paper presents the circular-arc tooth profile that has no trapped-oil feature and flow fluctuations. The mathematical model of tooth profile and helical surface is obtained by gear engagement theory. The examination of helical surface is by coordinate measuring machining (CMM). The sections that perpendicular to the axis direction of gear are selected to obtain the trajectory of measuring ball by the starting points and end points of measuring ball. The examination process of CMM is simulated by Matlab in this paper.

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.

Improving the Characteristics of Gear Pumps: Part A — Discharge

2003 ◽  
Author(s):  
Ahmed M. M. El-Bahloul ◽  
Yasser Z. R. Ali
Keyword(s):  
Correction Factor ◽  
Helix Angle ◽  
Tooth Profile ◽  
Radius Of Curvature ◽  
Circular Arc ◽  
Pressure Angle ◽  
Face Width ◽  
Angle Change ◽  
Number Of Teeth ◽  
Gear Pumps

The main objective of this paper is to study the effect of gear geometry on the discharge of gear pumps. We have used gears of circular-arc tooth profile as gear pumps and have compared between these types of gearing and spur, helical gear pumps according to discharge. The chosen module change from 2 to 16 mm, number of teeth change from 8 to 20 teeth, pressure angle change from 10 to 30 deg, face width change from 20 to 120 mm, correction factor change from −1 to 1, helix angle change from 5 to 30 deg, and radii of curvature equal 1.4, 1.5, 2, 2.5, 2.75, and 3m are considered. The authors deduced that the tooth rack profile with radius of curvature equal 2.5, 2.75, 3m for all addendum circular arc tooth and convex-concave tooth profile, and derived equations representing the tooth profile, and calculated the points of intersections between curves of tooth profile. We drive the formulas for the volume of oil between adjacent teeth. Computer program has been prepared to calculate the discharge from the derived formulae with all variables for different types of gear pumps. Curves showing the change of discharge with module, number of teeth, pressure angle, face width, correction factor, helix angle, and radius of curvature are presented. The results show that: 1) The discharge increases with increasing module, number of teeth, positive correction factor, face width and radius of curvature of the tooth. 2) The discharge increases with increasing pressure angle to a certain value and then decreases with increasing pressure angle. 3) The discharge decreases with increasing helix angle. 4) The convex-concave circular-arc gears gives discharge higher than that of alla ddendum circular arc, spur, and helical gear pumps respectively. 5) A curve fitting of the results are done and the following formulae derived for the discharge of involute and circular arc gear pumps respectively: Q=A1bm2z0.895e0.065xe0.0033αe−0.0079βQ=A2bm2z0.91ρ10.669e−0.0047β

An Intelligent System for Spur Gear Design and Analysis

2001 ◽  
Author(s):  
El-Sayed Aziz ◽  
C. Chassapis
Keyword(s):  
Finite Element ◽  
Closed Form ◽  
Intelligent System ◽  
Tooth Profile ◽  
Hertzian Contact ◽  
Design Parameters ◽  
Analysis Model ◽  
Closed Form Solutions ◽  
Gear Teeth ◽  
Gear Design

Abstract A methodology for the analysis of load distribution and contact stress on gear teeth, which utilizes a combination of closed form solutions and two-dimensional finite element methods, within a constraint-based knowledge-based environment, is presented. Once the design parameters are specified, the complete process of generating the analysis model, starting from the determination of the coordinates of the tooth profile, the creation of a sector of the mating gear teeth, automatic mesh generation, boundary conditions and loading, is totally automated and transparent to the designer. The effects of non-standard geometry, load sharing on the contact zone, friction and root stresses are easily included in the model. The Finite Element Method (FEM) based results compare favorably with those obtained from closed form solutions (AGMA equations and classical Hertzian contact solution). The advantage of the approach rests in the ability to modify any of the gear design parameters such as diametral pitch, tooth profile modification etc., in an automated manner along with obtaining a better estimation of the risks of failure of the gear design on hand. The procedure may be easily extended to other types of gearing systems.

Study on the effects of tooth profile design parameters of rotor to performance of vacuum pump

2020 ◽  
Vol 34 (22n24) ◽  
pp. 2040141
Author(s):  
Van-The Tran ◽  
Bui Trung Thanh ◽  
Banh Tien Long ◽  
Hoang Quoc Tuan ◽  
Duc Toan Nguyen
Keyword(s):  
Vacuum Pump ◽  
Tooth Profile ◽  
Design Parameters ◽  
Tooth Root ◽  
Performance Indices ◽  
Circular Arc ◽  
Numerical Example ◽  
Design Flexibility ◽  
Profile Design ◽  
Rotor Tooth

The vacuum pump usually used traditional curves such as the circular, cycloidal curves and their combinations to construct tooth profile. However, to increase efficiency and design flexibility for the vacuum pump, a novel rotor tooth profile for Roots rotor of vacuum pumps is proposed. Which is named “CEIEC” tooth profile and orderly composed of five significant segments, a circular arc for tooth tip, an epicycloid curve with variable extension, an involute, an enveloped epicycloid curve and a conjugated circular arc for tooth root. A numerical example is presented to evaluate the performance indices for proposed vacuum pump, including the hermeticity coefficients of the rotor mesh gap and tip gap.

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