scholarly journals Mathematical Model for the Internal Grinding Process of a Non-circular Hole Machining

2016 ◽  
Vol 150 ◽  
pp. 1118-1123 ◽  
Author(s):  
P.P. Pereverzev ◽  
A.V. Akintseva
Keyword(s):  
Mathematical Model ◽  
Circular Hole ◽  
Grinding Process ◽  
Internal Grinding ◽  
Hole Machining

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.

scholarly journals The Applied model of grinding a spherical solid particle with a direct impact on a non-deformable flat surface

2020 ◽  
pp. 32-42
Author(s):  
G A Guryanov ◽  
B M Abdeev
Keyword(s):  
Mathematical Model ◽  
Flat Surface ◽  
Spherical Shape ◽  
Grinding Process ◽  
Direct Impact ◽  
Applied Model ◽  
Technical Theory ◽  
Force Contact ◽  
Breakage Mechanism

A grinding process using a free impact breakage mechanism is used in industries. In order to make calculations, predict grinding results, and evaluate mills functioning, it is necessary to assess the parameters of the grinding process and interrelations between the process parameters, mills parameters and materials properties, i.e. it is necessary to use an adequate mechanical-mathematical model of the process. However it is difficult to model due to some phenomena occurring in this process. Nowadays, various researchers have established the basis for the structure of the grinding process, but the application of the existing hypotheses and methods to evaluate the grinding process is quite difficult. This paper solves the problem of a spherical shape particle impacting an absolutely rigid half-space. It proposes a refined mechanical and mathematical model describing the process of destruction of the particle using the free direct impact breakage mechanism on an absolutely rigid, stationary, and flat surface. By using the Hertz-Staerman's classical analytical dependencies on the force contact interaction of the spherical bodies and the technical theory of the longitudinal waves’ propagation in the elastic continuous medium, we obtained a new refined solution of the applied dynamic problem related to a direct impact of a ball simulating a particle of a feeding material (an absolutely rigid surface simulating the working body of the mill) taking into account local physically linear deformations, the time parameter and radial particle size. The improved theoretical model of the spherical particle destruction was brought to applicable analytical calculations, tested and illustrated by a numerical example. It made it possible to describe the fracture of the material particles, predict the result and calculate the grinding process depending on its parameters providing the required quality of grinding by regulating and selecting characteristics, designing and selecting the grinding equipment, and modeling the grinding process using the free impact breakage mechanism.

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.

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.

Development of Spiral Grinding Process Technology for Glass Lens Hole Machining

2019 ◽  
Vol 20 (11) ◽  
pp. 1877-1883 ◽  
Author(s):  
Soonkyu Je ◽  
Inju Yeo ◽  
Seok-kyung Jung ◽  
Jung-dae Kim ◽  
Kye-sung Lee ◽  
...  
Keyword(s):  
Grinding Process ◽  
Process Technology ◽  
Glass Lens ◽  
Hole Machining

Study on the Simplification of Spiral Bevel Gear Grinding Model

2016 ◽  
Vol 861 ◽  
pp. 108-114
Author(s):  
Chang Sheng Wang ◽  
Peng Yao ◽  
Jun Wang ◽  
Chuan Zhen Huang ◽  
Han Lian Liu ◽  
...  
Keyword(s):  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Grinding Process ◽  
Relative Speed ◽  
Grinding Wheels ◽  
Internal Grinding ◽  
Gear Grinding ◽  
Simplified Method ◽  
Tooth Surfaces ◽  
Spiral Bevel

Gear grinding is expensive and difficult to research due to its complex kinematics and meshing theory. In the paper, a simplified method based on the meshing model of spiral bevel gear system is presented. With the relative speed and normal curvature of tooth surfaces and grinding wheels on meshing point deduced from differential geometry theory and grinding parameters, the spiral bevel gear grinding can be simplified to fundamental grinding process like surface, cylindrical and internal grinding, which may be utilized to perform experimental investigation on mechanism of gear grinding.

Mathematical Model of Hot-Roll On-Line Grinding Detecting System

2010 ◽  
Vol 455 ◽  
pp. 530-534
Author(s):  
Chang He Li ◽  
Ya Li Hou ◽  
G.Q. Cai
Keyword(s):  
Mathematical Model ◽  
Line Profile ◽  
Grinding Process ◽  
Characteristic Analysis ◽  
High Security ◽  
On Line

In the grinding process, in order to exert the hot-roll on-line grinding (HOG) better, the on-line profile measure (OPM) is required to work steadily and reliably. Nevertheless, owing to the bad environment in the hot-roll grinding, the high distinguish ability and the high security for the OPM technology are the most difficult problems at all the time.The research on this project fits for the development of on-line profile measure for hot stripe rolling grinding. Based on the thought of the operation principle and mathematical model and characteristic analysis, associated with the HOG system, the measurement can work numerically, high efficiently and accurately. The detecting system can inspect and diagnose the potential fault of the equipment, consequently the whole system can be assured to run in the best state.

Mathematical Model for Multifacet Drills

1983 ◽  
Vol 105 (3) ◽  
pp. 173-182 ◽  
Author(s):  
S. M. Wu ◽  
J. M. Shen
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Grinding Process ◽  
Five Axis ◽  
First Time ◽  
Further Development

Mathematical models are developed for the first time to describe a multifacet drill (MFD) point geometry, which has been evolved by experiments since 1953 in Peking. A precise grinding process has been adopted on a CNC five-axis drill grinder using the model. A highly repetitive MFD has been reproduced to ensure its further development and applications.

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