Modeling of the Magnetic Abrasive Machining Process of Flat Surface Workpieces on Numerically Controlled Machine Tools

2015 ◽  
Vol 788 ◽  
pp. 69-74 ◽  
Author(s):  
Evgeniy Tatarkin ◽  
Aleksey Ikonnikov ◽  
Tatyana Schrayner ◽  
Roman Grebenkov
Keyword(s):  
Mathematical Model ◽  
Flat Surface ◽  
Cutting Parameters ◽  
Machining Process ◽  
Motion Trajectory ◽  
Abrasive Machining ◽  
Abrasive Powder ◽  
Finishing Process ◽  
The Mathematical Model ◽  
The Given

The article describes a mathematical model of the circular motion trajectory of a magnetic abrasive powder portion which participates in the magnetic abrasive machining process of flat surface workpieces. The motion trajectory of a magnetic abrasive powder portion is observed. The main formulas, assumptions and recommendations on the implementation of the mathematical model are introduced. Taking into account the feed rate of the machine table, rotational speed and the radius of the cylindrical magnetic inductor, the model allows determining an optimal amount of the magnetic abrasive powder portion which can provide the required efficiency of the finishing process. The magnetic abrasive machining process does not have any fixed standard cutting parameters, so they have to be readjusted every time. The given model can be used to predict the parameters of the finishing process of sophisticated flat surface workpieces.

Mathematical Modelling the Process of Cup Wheel Precision Grinding of Rotating Concave Paraboloid

2016 ◽  
Vol 693 ◽  
pp. 837-842
Author(s):  
Fu Yi Xia ◽  
Li Ming Xu ◽  
De Jin Hu
Keyword(s):  
Mathematical Model ◽  
Mathematical Modelling ◽  
Abrasive Particle ◽  
Influence Factors ◽  
Machining Process ◽  
Quadric Surface ◽  
Precision Grinding ◽  
Cup Wheel ◽  
The Mathematical Model ◽  
Trajectory Equation

A novel principle of cup wheel grinding of rotating concave quadric surface was proposed. The mathematical model of machining process was established to prove the feasibility of precision grinding of rotating concave paraboloid based on the introduced principle. The conditions of non-interference grinding of concave paraboloid were mathematically derived. The processing range and its influence factors were discussed. The trajectory equation of abrasive particle was concluded. Finally, the math expressions of numerical controlled parameters was put forward in the process of grinding of the concave paraboloid.

scholarly journals Mathematical modeling of physical processes in the complex for testing of induction machines

2018 ◽  
Vol 239 ◽  
pp. 01055 ◽  
Author(s):  
Viktor Kharlamov ◽  
Denis Popov
Keyword(s):  
Mathematical Model ◽  
Frequency Converter ◽  
Electrical Energy ◽  
Induction Machines ◽  
Test Scheme ◽  
Load Testing ◽  
Variable Parameters ◽  
Asynchronous Machines ◽  
The Mathematical Model ◽  
The Given

The paper is devoted to the simulation of the test complex designed for energy-efficient load testing of induction machines by the method of mutual load with the exchange of electrical energy through the network. It is noted that for other similar test schemes, the mathematical model will have a slightly different form, but it will be identical in terms of asynchronous machines, network and frequency converter. The compiled mathematical model of the test complex allows studying the variable parameters of the system in all elements of the test scheme in static and dynamic modes of operation as well. The synthesized mathematical model can be used to determine the parameters of the equipment in the designed test complexes if the parameters of the test and load machines are known. The results of simulation of the test complex for the given parameters of the test and load induction machines are obtained.

Mathematical model of the artificial muscle with two actuators

2020 ◽  
pp. 095440622094156
Author(s):  
Ljubinko B Kevac ◽  
Mirjana M Filipovic ◽  
Ana M Djuric
Keyword(s):  
Mathematical Model ◽  
Control Structure ◽  
Artificial Muscle ◽  
Parallel Robot ◽  
Simulation Results ◽  
Proportional Derivative Controller ◽  
Definition Of ◽  
The Mathematical Model ◽  
The Given ◽  
Very High

Characteristic construction of cable-suspended parallel robot of artificial muscle, which presents an artificial forearm, is analyzed and synthesized. Novel results were achieved and presented. Results presented in this paper were initially driven to recognize and mathematically define undefined geometric relations of the artificial forearm since it was found that they strongly affect the dynamic response of this system. It gets more complicated when one has more complex system, which uses more artificial muscle subsystems, since these subsystems couple and system becomes more unstable. Unmodeled or insufficiently modeled dynamics can strongly affect the system’s instability. Because of that, the construction of this system and its new mathematical model are defined and presented in this paper. Generally, it can be said that the analysis of geometry of selected mechanism is the first step and very important step to establish the structural stability of these systems. This system is driven with two actuators, which need to work in a coordinated fashion. The aim of this paper is to show the importance of the geometry of this solution, which then strongly affects the system’s kinematics and dynamics. To determine the complexity of this system, it was presumed that system has rigid cables. Idea is to show the importance of good defined geometry of the system, which gives good basis for the definition of mathematical model of the system. Novel program package AMCO, artificial muscle contribution, was defined for the validation of the mathematical model of the system and for choice of its parameters. Sensitivity of the system to certain parameters is very high and hence analysis of this system needs to be done with a lot of caution. Some parameters are very influential on the possible implementation of the given task of the system. Only after choosing the parameters and checking the system through certain simulation results, control structure can be defined. In this paper, proportional–derivative controller was chosen.

scholarly journals Developing an Analytical Model and Computing Tool for Optimizing Lapping Operations of Flat Objects Made of Alloyed Steels

Materials ◽  
2020 ◽  
Vol 13 (6) ◽  
pp. 1343 ◽  
Author(s):  
Tudor Deaconescu ◽  
Andrea Deaconescu
Keyword(s):  
Mathematical Model ◽  
Surface Roughness ◽  
Material Properties ◽  
Depth Of Cut ◽  
Operation Optimization ◽  
Abrasive Grains ◽  
Finishing Process ◽  
Real World Applications ◽  
The Mathematical Model

Lapping is a finishing process where loose abrasive grains contained in a slurry are pressed against a workpiece to reduce its surface roughness. To perform a lapping operation, the user needs to set the values of the respective lapping conditions (e.g., pressure, depth of cut, the rotational speed of the pressing lap plate, and alike) based on some material properties of the workpiece, abrasive grains, and slurry, as well as on the desired surface roughness. Therefore, a mathematical model is needed that establishes the relationships among the abovementioned parameters. The mathematical model can be used to develop a lapping operation optimization system, as well. To this date, such a model and system are not available mainly because the relationships among lapping conditions, material properties of abrasive grains and slurry, and surface roughness are difficult to establish. This study solves this problem. It presents a mathematical model establishing the required relationships. It also presents a system developed based on the mathematical model. In addition, the efficacy of the system is also shown using a case study. This study thus helps systematize lapping operations in regard to real-world applications.

scholarly journals A New Mathematical Model for Flank Wear Prediction Using Functional Data Analysis Methodology

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Sonja Jozić ◽  
Branimir Lela ◽  
Dražen Bajić
Keyword(s):  
Mathematical Model ◽  
Data Analysis ◽  
Functional Data Analysis ◽  
Functional Data ◽  
Flank Wear ◽  
End Milling ◽  
Cutting Parameters ◽  
Machining Process ◽  
Wear Prediction ◽  
Analysis Methodology

This paper presents a new approach improving the reliability of flank wear prediction during the end milling process. In the present work, prediction of flank wear has been achieved by using cutting parameters and force signals as the sensitive carriers of information about the machining process. A series of experiments were conducted to establish the relationship between flank wear and cutting force components as well as the cutting parameters such as cutting speed, feed per tooth, and radial depth of cut. In order to be able to predict flank wear a new linear regression mathematical model has been developed by utilizing functional data analysis methodology. Regression coefficients of the model are in the form of time dependent functions that have been determined through the use of functional data analysis methodology. The mathematical model has been developed by means of applied cutting parameters and measured cutting forces components during the end milling of workpiece made of 42CrMo4 steel. The efficiency and flexibility of the developed model have been verified by comparing it with the separate experimental data set.

Wind-driven land-yacht robot mathematical modeling and verification

2016 ◽  
Vol 43 (1) ◽  
pp. 77-90 ◽  
Author(s):  
Jiqing Chen ◽  
Shaorong Xie ◽  
Jun Luo ◽  
Hengyu Li
Keyword(s):  
Mathematical Model ◽  
Experimental Tests ◽  
Outer Planet ◽  
Mechanism Analysis ◽  
Content Type ◽  
The Antarctic ◽  
The Mathematical Model ◽  
The Given ◽  
Practical Implications ◽  
Wind Resources

Purpose – The purpose of this paper was to solve the shortage of carrying energy in probing robot and make full use of wind resources in the Antarctic expedition by designing a four-wheel land-yacht. Land-yacht is a new kind of mobile robot powered by the wind using a sail. The mathematical model and trajectory of the land-yacht are presented in this paper. Design/methodology/approach – The mechanism analysis method and experimental modeling method are used to establish a dual-input and dual-output mathematical model for the motion of land-yacht. First, the land-yacht’s model structure is obtained by using mechanism analysis. Then, the models of steering gear, servomotors and force of wing sail are analyzed and validated. Finally, the motion of land-yacht is simulated according to the mathematical model. Findings – The mathematical model is used to analyze linear motion and steering motion. Compared with the simulation results and the actual experimental tests, the feasibility and reliability of the proposed land-yacht modeling are verified. It can travel according to the given signal. Practical implications – This land-yacht can be used in the Antarctic, outer planet or for harsh environment exploration. Originality/value – A land-yacht is designed, and the contribution of this research is the development of a mathematical model for land-yacht robot. It provides a theoretical basis for analysis of the land-yacht’s motion.

scholarly journals Modeling of T-16M self-propelled chassis’ diesel engine starting motor energy capacity

2018 ◽  
Author(s):  
Д.Н. Маничев ◽  
Д.Г. Мясищев
Keyword(s):  
Mathematical Model ◽  
Fuel Consumption ◽  
Theoretical Calculations ◽  
Target Function ◽  
Energy Capacity ◽  
Logical System ◽  
Winter Conditions ◽  
The Mathematical Model ◽  
The Given ◽  
Tractor Engine

Приведена разработка математической модели расхода топлива в режиме пуска двигателя пусковым устройством. Проведено сравнение с результатами исследовательских испытаний. Целевой функцией в математической модели является часовой расход топлива всей рассматриваемой системы МП-5 «Урал-2Т ЭЛЕКТРОН» – двигатель Д-21А1. Целью работы является описание математической модели для данной логической системы. При данном подходе также использованы основы оценки топливной экономичности колесных малогабаритных лесотранспортных систем. После проведения математических расчетов получили часовой расход топлива В = 1,24 кг/ч. Проведение исследовательских испытаний запуска двигателя трактора Т-16М при помощи ПУ в зимний период показали, что часовой расход топлива В = 1,28 кг/ч. Таким образом, погрешность теоретических расчетов и исследовательских испытаний составляет 6%. Сравнение теоретических и практических результатов позволяет сделать следующие выводы: теория, построенная на математической модели, дает результаты, наиболее близкие к экспериментальным с расхождением 6%; разработанная теоретическая модель входит в постановку задачи оптимизации компонентов пускового привода. The article is devoted to development of mathematical model of fuel consumption of the engine started by a starter as well as comparison with the results of the researches. Hourly fuel consumption of the MP-5 «Ural-2T ELECTRON» – engine D- 21A1 system represents the target function of the mathematical model. The aim of the article is to describe a mathematical model for the given logical system. As a result of mathematical calculations the hourly fuel consumption is B = 1.24 kg/h. Research tests of starting the T-16M tractor engine by the starter in winter conditions showed that the hourly fuel consumption B = 1.28 kg/h. Thus, discrepancy between theoretical calculations and research tests is 6%. Comparison of theoretical and practical results leads to following conclusions: theory based on the mathematical model gives results closest to experimental ones with a discrepancy of 6%; the developed theoretical model can be included into the task of starting drive components' optimization.

scholarly journals Four propellers submarine drone modelling in a real environment

2021 ◽  
Vol 12 (4) ◽  
pp. 1966
Author(s):  
Mohamed Moustanir ◽  
Karim Benkirane ◽  
Adil Sayouti ◽  
Hicham Medromi
Keyword(s):  
Mathematical Model ◽  
Real Environment ◽  
Dynamic Studies ◽  
Mechanical Elements ◽  
The Mathematical Model ◽  
The Given ◽  
Marine Vehicle

<span lang="EN-US">In order to reduce the hydrodynamic dampers and mechanical elements as rudders, we have in our previous publications proposed our architectural solution of an ROV with only four thrusters without rudders or diving bars. In the results we have justified the choice of the arrangement of the thrusters. Also, we have started the kinematic and dynamic studies of the marine robot and we have especially demonstrated by using the mathematical model under MATLAB in the last publication, that this ROV can move in a perfect environment without gravity or hydrodynamic dampers. In this article, we will study the behavior of this marine vehicle in a real environment with gravity and hydrodynamic dampers and we will view if this architectural solution can really allow the ROV to move and execute the given directional instructions.</span>

Response Analysis of Heaving Motions of Deep-Sea Installation Workboat

2012 ◽  
Vol 546-547 ◽  
pp. 78-83
Author(s):  
Jian Ning Nie ◽  
Teng Zhao
Keyword(s):  
Mathematical Model ◽  
Comparative Analysis ◽  
Response Time ◽  
Working Conditions ◽  
Deep Sea ◽  
Response Analysis ◽  
Strip Theory ◽  
Modeling Calculation ◽  
The Mathematical Model ◽  
The Given

Through the establishment of the ship form coefficients and calculation conditions of the given Deep-sea installation workboat, and use the 2-d strip theory to build the mathematical model of working ship moving in waves, obtaining the significant height of heaving motion of ship, according to different wave directions and working conditions, then using the AQWA to achieve the modeling calculation, by which the response time registration curves of heaving motion under typical working conditions can be given, while making a comparative analysis of the results obtained by the two different methods, it is indicated that the differences between them are not so significant, thus satisfying the requirements of the engineering.

Mathematical Model of Cam Profile Based on Heald Frame Motion Characteristics

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Honghuan Yin ◽  
Hongbin Yu ◽  
Junqiang Peng ◽  
Hongyu Shao
Keyword(s):  
Mathematical Model ◽  
Simulation Analysis ◽  
Kinematics Simulation ◽  
Movement Characteristics ◽  
Cam Profile ◽  
Motion Characteristics ◽  
Pitch Curve ◽  
Frame Motion ◽  
The Mathematical Model ◽  
The Given

In this paper, the transmission process of the heald frame driven by the dobby is analyzed. The equivalent motion model of the dobby modulator, the eccentric mechanism, and the motion transmission unit are constructed. Then, based on the given movement characteristics of the heald frame, the mathematical model is built to achieve the cam pitch curve and the cam profile of the modulator. The numerical solution method for this is developed. The preparation of a mathematical model for the new concept of the solving cam profile based on the motion characteristics of heald frames is explained in this study. By setting a 11th polynomial motion law of the heald frame, due to the inconsistency between the outward and return motion laws of the crank-rocker mechanism, an asymmetrical cam profile is obtained under the premise of ensuring that the heald frame’s ascending and descending motions are consistent. Through the kinematics simulation analysis, the correctness of the reverse process is verified.

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