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.

An Optimization of Automated Process Planning for Manufacturing Prismatic Parts on a Machining Center

2015 ◽  
Vol 789-790 ◽  
pp. 1270-1274
Author(s):  
Janjira Kongchuenjai ◽  
Suksan Prombanpong
Keyword(s):  
Mathematical Model ◽  
Process Planning ◽  
Cutting Tools ◽  
Cnc Machining ◽  
Total Production ◽  
Machining Time ◽  
Optimal Sequence ◽  
Machining Center ◽  
Prismatic Parts ◽  
The Mathematical Model

One of the objectives of process planning optimization is to diminish machining time. Nowadays a lot of research papers presented different algorithms to solve this classic problem. Thus, the optimal sequence of parts in the machining operations by considering fixture faces, part faces, number of operations and number of tools is presented in this paper. The mathematical model based on the integer linear programming is developed to minimize the total production time of the prismatic parts manufactured on a CNC machining center equipped with the tombstone-type fixture. The time required for machining, tool traveling and tool changing is taken into consideration under relevant constraints such as precedence, fixture and available cutting tools. The optimal process plan can be obtained from the mathematical model and it is considered practical and acceptable.

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.

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 on Heating Density Function and Temperature Field Mathematical Model for Milling Insert with 3D Complex Groove

2007 ◽  
Vol 329 ◽  
pp. 669-674 ◽  
Author(s):  
Zhen Jia Li ◽  
Yao Nan Cheng ◽  
Y.B. Wang ◽  
Y.G. Zhao
Keyword(s):  
Mathematical Model ◽  
Temperature Field ◽  
Density Function ◽  
Mathematic Model ◽  
Experimental Result ◽  
Analytic Method ◽  
Rake Face ◽  
Instantaneous Temperature ◽  
Milling Temperature

Based on the milling temperature experiments and researches, we established the milling temperature mathematical model using dimension analytic method,and the heat density function and superficial heat density function of the flat milling insert and the waved-edge milling insert, whose rake face is wave curve plane and created by the authors using the diathermanous theory. We describe the mathematic model of the instantaneous temperature field by the theory of the finite moving planar sources of heat. At last, a program was done to calculate the heat density function and the milling temperature field. According to the calculated results and plotted graph, it is proven that the highest temperature is not on the knifepoint and host edge, in fact, it is offset from the host edge a certain space. So we can make the conclusion that the waved-edge milling insert’s cutting capability is higher than the flat milling insert’s which is consistent with the experimental result. All the studies above are the foundation for accurately describing the 3-D temperature field and optimizing groove.

scholarly journals REASONS FOR THE CHOICE OF THE THERMAL PIPE FOR THE COMPLEX COOLING SYSTEM OF THE COMBINED CUTTING TOOLS

2017 ◽  
Vol 2017 (1) ◽  
pp. 6-11
Author(s):  
Юрий Дубров ◽  
Yuriy Dubrov ◽  
Александр Чукарин ◽  
Дмитрий Дубров ◽  
Dmitriy Dubrov ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Phase Transitions ◽  
Heat Exchange ◽  
Cooling System ◽  
Cutting Tools ◽  
Cutting Process ◽  
Dry Cutting ◽  
Aggregate State ◽  
Duration Time ◽  
The Mathematical Model

The mathematical model of heat exchange in a cooling system of the combined cutting tools in case of dry cutting is provided. Absorption of heat is reached in case of change of aggregate state of fusible substances and is based on application of phase transitions of the first sort. As a result of the solution of a task of Stefan cutting process thermostabilization duration time is determined.

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.

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.

scholarly journals TEXTURE SEGMENTATION OF IMAGES OF WEAR ZONES OF CUTTING TOOLS BY AMPLITUDE RECTIFYING METHOD

2014 ◽  
pp. 22-31
Author(s):  
Marina Polyakova ◽  
Victor Krylov ◽  
Natalia Volkova
Keyword(s):  
Mathematical Model ◽  
Statistical Model ◽  
Amplitude Modulation ◽  
Cutting Tools ◽  
Texture Segmentation ◽  
Texture Image ◽  
Segmentation Of Images ◽  
The Mathematical Model

The amplitude rectifying method of the texture segmentation of the image of wear zone of cutting tools with tracks of the fragile destruction is developed. The mathematical model of the image of wear zone of cutting tools with tracks of the fragile destruction as a spectral-statistical model of the texture image with the amplitude modulation of intensity is proposed.

DETERMINATION OF PERFORMANCE INDICATORS OF THE TRUCK KrAZ-6510TE

2020 ◽  
pp. 19-26
Author(s):  
Olexandr Pavlenko ◽  
Serhii Dun ◽  
Maksym Skliar
Keyword(s):  
Mathematical Model ◽  
Surface Friction ◽  
Building Structures ◽  
Maximum Torque ◽  
Military Equipment ◽  
Military Vehicles ◽  
Force Magnitude ◽  
Vehicle Mobility ◽  
The Mathematical Model

In any economy there is a need for the bulky goods transportation which cannot be divided into smaller parts. Such cargoes include building structures, elements of industrial equipment, tracked or wheeled construction and agricultural machinery, heavy armored military vehicles. In any case, tractor-semitrailer should provide fast delivery of goods with minimal fuel consumption. In order to guarantee the goods delivery, tractor-semitrailers must be able to overcome the existing roads broken grade and be capable to tow a semi-trailer in off-road conditions. These properties are especially important for military equipment transportation. The important factor that determines a tractor-semitrailer mobility is its gradeability. The purpose of this work is to improve a tractor-semitrailer mobility with tractor units manufactured at PJSC “AutoKrAZ” by increasing the tractor-semitrailer gradeability. The customer requirements for a new tractor are determined by the maximizing the grade to 18°. The analysis of the characteristics of modern tractor-semitrailers for heavy haulage has shown that the highest rate of this grade is 16.7°. The factors determining the limiting gradeability value were analyzed, based on the tractor-semitrailer with a KrAZ-6510TE tractor and a semi-trailer with a full weight of 80 t. It has been developed a mathematical model to investigate the tractor and semi-trailer axles vertical reactions distribution on the tractor-semitrailer friction performances. The mathematical model has allowed to calculate the gradeability value that the tractor-semitrailer can overcome in case of wheels and road surface friction value and the tractive force magnitude from the engine. The mathematical model adequacy was confirmed by comparing the calculations results with the data of factory tests. The analysis showed that on a dry road the KrAZ-6510TE tractor with a 80 t gross weight semitrailer is capable to climb a gradient of 14,35 ° with its coupling mass full use condition. The engine's maximum torque allows the tractor-semitrailer to overcome a gradient of 10.45° It has been determined the ways to improve the design of the KrAZ-6510TE tractor to increase its gradeability. Keywords: tractor, tractor-semitrailer vehicle mobility, tractor-semitrailer vehicle gradeability.

EXPERIMENTAL STUDIES OF CAR PROPERTIES ON A PHYSICAL MODEL

2019 ◽  
pp. 10-16
Author(s):  
Oleksii Timkov ◽  
Dmytro Yashchenko ◽  
Volodymyr Bosenko
Keyword(s):  
Mathematical Model ◽  
Remote Control ◽  
Physical Model ◽  
Model Experiment ◽  
Experimental Studies ◽  
Electrical Energy ◽  
Short Term ◽  
Motor Current ◽  
Memory Card ◽  
The Mathematical Model

The article deals with the development of a physical model of a car equipped with measuring, recording and remote control equipment for experimental study of car properties. A detailed description of the design of the physical model and of the electronic modules used is given, links to application libraries and the code of the first part of the program for remote control of the model are given. Atmega microcontroller on the Arduino Uno platform was used to manage the model and register the parameters. When moving the car on the memory card saved such parameters as speed, voltage on the motor, current on the motor, the angle of the steered wheel, acceleration along three coordinate axes are recorded. Use of more powerful microcontrollers will allow to expand the list of the registered parameters of movement of the car. It is possible to measure the forces acting on the elements of the car and other parameters. In the future, it is planned to develop a mathematical model of motion of the car and check its adequacy in conducting experimental studies on maneuverability on the physical model. In addition, it is possible to conduct studies of stability and consumption of electrical energy. The physical model allows to quickly change geometric dimensions and mass parameters. In the study of highway trains, this approach will allow to investigate the various layout schemes of highway trains in the short term. It is possible to make two-axle road trains and saddle towed trains, three-way hitched trains of different layout. The results obtained will allow us to improve not only the mathematical model, but also the experimental physical model, and move on to further study the properties of hybrid road trains with an active trailer link. This approach allows to reduce material and time costs when researching the properties of cars and road trains. Keywords: car, physical model, experiment, road trains, sensor, remote control, maneuverability, stability.

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