scholarly journals Peculiarities of the Grinding Process of a Gear Hob Helical Rake Face

2021 ◽  
Vol 13 (1) ◽  
pp. 39-51
Author(s):  
Norbert Hodgyai ◽  
Márton Máté ◽  
Ferenc Tolvaly-Roşca ◽  
Mircea Viorel Drăgoi
Keyword(s):  
Mathematical Model ◽  
Grinding Process ◽  
Rake Face ◽  
Cad Modeling ◽  
The Mathematical Model ◽  
Face Grinding

Abstract This paper presents a study regarding the gear hob’s rake face grinding possibilities and its consequences. A simple theoretical lined surface is considered. The mathematical model of the reciprocate meshing of surfaces was applied. It was proven that the proposed form of the rake face cannot be obtained because an undercut of inacceptable extent occurs. It is also proven and sustained by CAD modeling that using a simplified, flat grinding disk, the undercut is avoided, but the phenomenon of transection appears.

Mathematical model for determining the expenditure of cooling and lubricating fluid reaching directly the grinding zone

2018 ◽  
Vol 1 (94) ◽  
pp. 27-34
Author(s):  
W. Stachurski ◽  
J. Sawicki ◽  
K. Krupanek ◽  
S. Midera
Keyword(s):  
Mathematical Model ◽  
Multiple Regression ◽  
Regression Function ◽  
Multiple Regression Equation ◽  
Grinding Wheel ◽  
Grinding Process ◽  
Rake Face ◽  
Rejection Method ◽  
Ansys Cfx ◽  
The Mathematical Model

Purpose: The purpose of this article is to discuss the method of determining the mathematical model used for calculating the amount of emulsion reaching directly the grinding zone during the hob sharpening process. Design/methodology/approach: The mathematical model, in the form of a multiple regression function, was determined based on the acceptance and rejection method. The data for the calculations was obtained by conducting numerical simulations of fluid flow in the Ansys CFX software. Findings: A mathematical model enables calculating the amount of efficient expenditure of emulsion reaching directly the zone of contact between the grinding wheel and workpiece (hob cutter rake face) at various nozzle angle settings and different nominal expenditures of emulsion. The verification of the mathematical relationship confirmed its accuracy. Research limitations/implications: Further research should focus on the other types of grinding process and other types of cooling and lubricating fluids. Practical implications: The mathematical model enables a selection and application in the workshop and industrial practice of various variants of emulsion supply during the grinding of hob cutter rake face. Analysis of the multiple regression equation created on the basis of the acceptance and rejection method also allows predicting changes in the analyzed numerical model. Originality/value: The literature review has shown that no research of this type has been conducted with regard to analyses and optimisation of the grinding process during hob cutter sharpening. The results of this research are a novelty on a worldwide scale.

Influence of Tooth Errors and Truing Principles of Grinding Wheel Abrasion for Machining Arc Enveloping Worm

2013 ◽  
Vol 652-654 ◽  
pp. 2153-2158
Author(s):  
Wu Ji Jiang ◽  
Jing Wei
Keyword(s):  
Mathematical Model ◽  
Case Studies ◽  
High Precision ◽  
High Performance ◽  
New Method ◽  
Grinding Wheel ◽  
Grinding Process ◽  
The Mathematical Model

Controlling the tooth errors induced by the variation of diameter of grinding wheel is the key problem in the process of ZC1 worm grinding. In this paper, the influence of tooth errors by d1, m and z1 as the grinding wheel diameter changes are analyzed based on the mathematical model of the grinding process. A new mathematical model and truing principle for the grinding wheel of ZC1 worm is presented. The shape grinding wheel truing of ZC1 worm is carried out according to the model. The validity and feasibility of the mathematical model is proved by case studies. The mathematical model presented in this paper provides a new method for reducing the tooth errors of ZC1 worm and it can meet the high-performance and high-precision requirements of ZC1 worm grinding.

Five-Axis CNC Tool Grinding: Part I—Rake Face Grinding

2011 ◽  
Author(s):  
Mahmoud M. Rababah ◽  
Zezhong C. Chen
Keyword(s):  
Rake Angle ◽  
Grinding Process ◽  
Rake Face ◽  
End Mill ◽  
Grinding Wheels ◽  
Robust Algorithm ◽  
Geometric Representations ◽  
Five Axis ◽  
Face Grinding ◽  
Tool Grinding

Grinding the helical surfaces in end-mill cutters using two-axis CNC machines is well investigated in literature. However, the grinding wheels do not have explicit geometric representations and the produced helical angles differ from the designed values. Moreover, to the best knowledge of the authors, no reliable and robust algorithm exists to grind generic shape cutters with constant normal rake angles. Thus, the first part of this work introduces a five-axis grinding process that keeps the normal rake angle constant along the rake face. The parameters that affect the shape of the tool flutes are also analyzed and studied in this part. These parameters are then optimized in the second part to obtain optimum wheel shapes grinding the tool flutes along optimum paths. Overall, the grinding process proposed grinds the tool flutes with close matching to the designed ones and replaces the complex wheel shapes commonly used by simple prismatic ones.

Grinding Process of Ball End Milling Cutter Flank

2018 ◽  
Vol 764 ◽  
pp. 383-390 ◽  
Author(s):  
Quan Qi Xin ◽  
Tai Yong Wang ◽  
Zhi Qiang Yu ◽  
Hong Yan Hu
Keyword(s):  
Mathematical Model ◽  
End Milling ◽  
Cutting Edge ◽  
Grinding Wheel ◽  
Grinding Process ◽  
Milling Cutter ◽  
Ball End Milling ◽  
Position And Orientation ◽  
The Mathematical Model

In this paper, the mathematical model of "S" - shaped cutting-edge curve is optimized, and the position and orientation of the grinding wheel of the first and second flank of the ball end milling cutter are calculated, The correctness of the algorithm is verified by VERICUT simulation.

scholarly journals Research on the Cutting Principle and Tool Design of Gear Skiving Based on the Theory of Conjugate Surface

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Peng Wang ◽  
Jingcai Li ◽  
Lin Han
Keyword(s):  
Mathematical Model ◽  
Design Principle ◽  
Design Method ◽  
Tool Design ◽  
Theoretical Research ◽  
Machining Accuracy ◽  
Rake Face ◽  
Key Factors ◽  
Flank Face ◽  
The Mathematical Model

Tool design is one of the key factors that restrict the development of gear skiving technology since the design principle does not correspond to the cutting principle. The existing skiving tool cannot achieve ideal machining accuracy and reasonable cutting angles. In view of this, some research has been done in this paper. Firstly, the skiving principle is investigated essentially according to the skiving motions. Then, the principle of tool design is analyzed based on the theory of conjugate surface, and a new tool design method is proposed to match the skiving principle. For this, all the skiving patterns for various kinds of workpieces are enumerated and summarized to abstract a normalized skiving model. Based on this, the mathematical model of the conjugate surface is then derived to lay the foundation for tool design. Then, the design methods of cutting edge, rake face, and flank face are proposed. An example is presented at last, and the cutting simulation is conducted. The result proves that the proposed methods are correct and valid. The theoretical research in this paper could promote the improvement of skiving tools.

Research and Development of Four Axis Linkage Grinding Simulation System of Ball-Nose End Mill

2010 ◽  
Vol 443 ◽  
pp. 314-317
Author(s):  
Lin He ◽  
Xian Feng Zhao ◽  
Hong Yan Shi ◽  
Jun Wang
Keyword(s):  
Simulation System ◽  
Rake Face ◽  
End Mill ◽  
Ball End Mill ◽  
Nc Programming ◽  
Solid Models ◽  
Flank Face ◽  
The Mathematical Model ◽  
Face Grinding ◽  
Grinding Simulation

The four axis linkage grinding simulation system of ball-nose end mill has be developed based on the mathematical model of four axis linkage grinding through establishing ball-nose end mill's parametrical database, constructing ball-nose end mill’s and grinding wheel's solid models in Solidworks, simulating the grinding processes of the rake face and flank face of ball-nose end mill based on Boolean operation, and automatic NC programming of rake face and flank face grinding. The results show the grinding simulation system can be used to manufacture ball end mill.

Study on the Adhering Disrepair and Groove Optimization of Cutting Tools for Difficult-to-Machine Materials

2006 ◽  
Vol 315-316 ◽  
pp. 715-719 ◽  
Author(s):  
Zhen Jia Li ◽  
Yao Nan Cheng ◽  
Guang Yu Tan ◽  
Yan Bo Wang ◽  
Yi Ming Rong
Keyword(s):  
Mathematical Model ◽  
Cutting Tools ◽  
Rake Face ◽  
Machine Material ◽  
Milling Temperature ◽  
The Mathematical Model

In the course of the milling experiments with the difficult-to-machine material 3Cr-1Mo-1/4V steel, we have found the substance of the adhering disrepair. In addition, we forecast the predominant capability of the waved-edge milling insert with complex 3-D grooves by the synthetically blurry judgement. Eventually, we give the mathematical model between the milling temperature and the maximal adhering disrepair depth of the rake face, and analyze the rule that the milling temperature affects the adhering disrepair. What’s more, we testify the predominant capability of the waved-edge milling insert.

Study on Grinding Technology of Granite Thin Slab

2012 ◽  
Vol 500 ◽  
pp. 281-286
Author(s):  
Xue Hua Wei ◽  
Jin Sheng Zhang ◽  
Bo Huang ◽  
Zhi Wang
Keyword(s):  
Mathematical Model ◽  
Process Parameters ◽  
Fracture Criterion ◽  
Critical Thickness ◽  
Grinding Process ◽  
Thin Slab ◽  
Set Up ◽  
Stone Industry ◽  
The Mathematical Model

With the development of economical society and the stone industry, the product of granite thin slab becomes a trend, and gets the welcome of people. The grinding technology influences the quality of granite thin slab. This paper first introduced the situation of the grinding technology of granite thin slab, analyzed the mechanism of the grinding process of granite thin slab and fractured problem by observing the fractured granite thin slab. Then, based on the Hoek-Brown criterion, we researched the fracture criterion and the critical thickness of granite thin slab when grinding. Finally, we set up the fracture criterion of the granite thin slab and built the mathematical model between the thickness of the granite thin slab and grinding process parameters. According to the thickness of the granite thin slab, grinding process parameters can be formulated, in order to ensure the granite thin slab no fractured.

Research on Grinding Model of Roller for Manufacturing Involute Spline

2009 ◽  
Vol 416 ◽  
pp. 524-528 ◽  
Author(s):  
Feng Shou Zhang ◽  
Feng Kui Cui ◽  
Chun Mei Li ◽  
Xiao Qiang Wang
Keyword(s):  
Mathematical Model ◽  
Theoretical Basis ◽  
Grinding Force ◽  
Grinding Wheel ◽  
Grinding Process ◽  
Motion Trajectory ◽  
Rolling Experiment ◽  
Grinding Machine ◽  
The Mathematical Model ◽  
Involute Spline

The paper studies the grinding process of cold roller. The shape of grinding wheel, the arc radius of grinding wheel, the motion trajectory of wheel center and the grinding force are analyzed. The mathematical model is established. The cold rolling experiment shows that the analyses and formula deduced in this paper are correct. It provides theoretical basis for designing and manufacturing roller and provides the mathematical guidance for making process parameter and designing grinding machine.

scholarly journals The Deformaton of The Gear Hob’s Generating Surfaces Due to Re-Sharpening

2018 ◽  
Vol 8 (1) ◽  
pp. 75-84
Author(s):  
Márton Máté ◽  
Dénes Hollanda
Keyword(s):  
Mathematical Model ◽  
Rake Face ◽  
Involute Gear ◽  
The Mathematical Model

Abstract The side relief faces of the monolithic involute gear hob are machined through relieving. The resulting surfaces are bevel helical surfaces in which the side cutting edges result from the intersection of these with the helical rake face. Theoretically, the gear hob is derived from an involute worm. Resharpening decreases the diameter of the hob, thus the edges became closer to the axis, and as a consequence they will be situated on a smaller worm than the original. The present paper analyses the deviation of the re-sharpened gear hob’s carrying worm from the theoretically perfect involute worm whose characteristic dimensions were adjusted considering the re-sharpened gear hob characteristic diameters. It was proven that the evolution of the errors is significantly different from that described in the literature. Thus, increasing the new gear hob diameters in comparison with the calculated dimensions is unnecessary, because it cannot reduce the error to half with this procedure. The mathematical model was built up accepting that the edges result from the intersection of an involute worm with a helical rake face and the side relief faces result from the rototranslation of the edges on a bevel helix leading curve dressed by the relieving parameter.

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