scholarly journals Algorithm Synthesis of Controlling a Transport Unit of a Coextrusion Flexible Manufacturing Section for Processing Multicomponent Materials

2022 ◽  
Author(s):  
V.V. Dyadichev
Keyword(s):  
Mathematical Model ◽  
Flexible Manufacturing ◽  
Manufacturing System ◽  
Analytical Models ◽  
Dynamic Programming Method ◽  
Optimum Algorithm ◽  
Transport Unit ◽  
The Mathematical Model ◽  
Multicomponent Materials

Abstract. The paper offers a mathematical model of the process of coextrusion flexible manufacturing section functioning. On the basis of dynamic programming method an algorithm of controlling transport unit of coextrusion flexible manufacturing system is developed. The objective of the current research is the development of the mathematical model of the flexible manufacturing complex for processing multicomponent materials functioning process, and construction of the algorithm of controlling a transport unit of a coextrusion flexible manufacturing complex for processing multicomponent materials on this basis. The paper offers the criterion of evaluating the quality of controlling the transport unit. The chosen variant of controlling the transport unit has to meet many requirements. This paper con-siders the issues connected with the search for an optimum algorithm of control-ling a transport unit according to the set criterion. Most works offer analytical models which are based on the assumption of the current processes’ stability. Real manufacturing conditions are characterized by the effect of numerous perturbing factors. Under such conditions the assumption of the current processes’ stability makes the obtained models almost untrue.

scholarly journals SYNTHESIS OF PROGRAM AND FINITE LAWS OF MOTION IN ANALYTICAL MODELS OF CONTROL OF THE FINAL STATE OF BIOMECHANICAL SYSTEMS

2019 ◽  
Vol 19 (1) ◽  
pp. 93-99
Author(s):  
V Zagrevskiy ◽  
O Zagrevskiy
Keyword(s):  
Mathematical Model ◽  
Computer Program ◽  
Center Of Mass ◽  
Material Point ◽  
Object Motion ◽  
Reference Points ◽  
Analytical Models ◽  
Final State ◽  
Finite Control ◽  
The Mathematical Model

Aim. The article deals with developing a computer program to simulate the movement of the object with a given initial and final speed and fixed travel time. Materials and methods. The analysis, as a method of biomechanics, allows us to assess the biomechanical state of the athlete in real sports exercises. The function of motion synthesis is the ability to predict the trajectory and behavior of the biomechanical system at specified reference points of the phase structure of the simulated motion. The article deals with one of the methods of biomechanical synthesis of movements: synthesis of control of the final state of biomechanical systems, based on the reduction of finite control to a given program control after attenuation of the transient component of acceleration. The mathematical description of the object motion is based on the known law of finite control with feedback. Integration of the mathematical model constructed in the form of the differential equation of the second order was carried out by one of the numerical methods of integration: Runge–Kutta method of the fourth order of accuracy. Consideration of the method is based on a mathematical apparatus describing the motion of a material point, which can be represented by a common center of mass of a biomechanical system, a joint, a center of mass of a segment, etc. Results. The mathematical model of the motion of a material point with the given kinematic parameters of motion at the initial and final moments is implemented in a computer program in the Visual Basic 2010 language environment based on the integrated development environment Visual Studio Express 2013. The output provides numerical and visual support for simulation results. Conclusion. It is shown that the developed computer model of the method always implements the goal of motion: to transfer an object from a given initial state by speed to a given final state for a fixed time of movement.

scholarly journals Use of the mathematical model of the ignition system to analyze the spark discharge, including the destruction of spark plug electrodes

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 57-62 ◽  
Author(s):  
Sebastian Różowicz
Keyword(s):  
Mathematical Model ◽  
Experimental Studies ◽  
Fuel Mixture ◽  
Spark Discharge ◽  
Fuel Additives ◽  
Ignition System ◽  
Spark Plug ◽  
The Mathematical Model

Abstract The paper presents the results of analytical and experimental studies concerning the influence of different kinds of fuel additives on the quality of the spark discharge for different configurations of the ignition system. The wear of the spark plug electrode and the value of spark discharge were determined for various impurities and configurations of the air-fuel mixture.

Thermal hardening and calculation of the mathematical model of face milling of parts made of steel 95X18-Sh to improve the quality of the surface layer

2021 ◽  
pp. 200-206
Author(s):  
I.N. Sedinin ◽  
V.F. Makarov
Keyword(s):  
Mathematical Model ◽  
Cutting Speed ◽  
Physical And Mechanical Properties ◽  
Face Milling ◽  
Experiment Planning ◽  
Depth Of Cut ◽  
Machined Surface ◽  
The Mathematical Model ◽  
Full Factorial

It is considered the complex of operations of the technological process for the heat treatment of steel 95X18-Sh, as a result of which the material of the samples increases the hardness to 59...61 HRC, and also improves the physical and mechanical properties. A full-scale full factorial experiment of face milling of samples was carried out using the method of mathematical planning. In the experiments, a high-precision machine and a carbide cutting tool were used. To calculate the values of the roughness function, the following are taken as independent variables: cutting speed, feed per tooth and depth of cut. In order to determine the coefficients of the linear equation, a central compositional orthogonal plan of the second order for three factors was used. A matrix of levels of variation of independent variable factors and a matrix of experiment planning were compiled. A regression analysis of the obtained experimental statistical data was carried out using the Microsoft Excel, Statistica and Wolfram Alpha programs. As a result of the calculations, a mathematical model of the roughness of the machined surface and optimal cutting conditions were determined.

The envelope method in the problem of choosing a rational composition of measuring instruments

2021 ◽  
pp. 68-72
Author(s):  
Il'ya A. Meshchikhin ◽  
Sergej S. Gavryushin
Keyword(s):  
Mathematical Model ◽  
Monitoring Systems ◽  
Measuring Instruments ◽  
Key Points ◽  
Envelope Method ◽  
Loaded State ◽  
The Mathematical Model ◽  
Selection Of ◽  
Rational Composition

As part of the development of monitoring systems for the operation of technical objects, the problem of improving the quality of monitoring systems for the loaded state is considered. Based on the analysis of the mathematical model of the structure and its loading, a methodology for the selection of measuring instruments was developed. The urgency of the problem of calculating substantiation of the choice of key points of the structure is shown, at which it is possible to measure deformations for the subsequent restoration of the existing loads with maximum accuracy. An approach based on the envelope method for determining the rational composition of measuring instruments for restoring the loads acting on the structure is stated.

Analisa Pengukuran Efisiensi Dengan Metode Data Envelopment Analysis (Dea) Di Heaven Store Surabaya Barat

2017 ◽  
Vol 1 (1) ◽  
pp. 44
Author(s):  
Satya Swesty Widiyana ◽  
Rus Indiyanto
Keyword(s):  
Mathematical Model ◽  
Data Envelopment Analysis ◽  
Customer Satisfaction ◽  
Customer Service ◽  
Data Envelopment ◽  
Input And Output ◽  
Using Data ◽  
Measurement Efficiency ◽  
The Mathematical Model

ABSTRACTThis study was taken from the problems in Heaven Store ranging from turnover does not reach the target, the different display products for each branch, and a just few reference customer visiting from problems in customer satisfaction. because the values of input and output obtained from each branch has a different values so demanding customers Heaven Store to correct weaknesses in the efficiency of customer service and satisfaction, then we tried to respond to the challenges of these improvements to the study "Analysis of Measurement Efficiency Services Methods Data envelopment analysis (DEA) In Heaven Store in West Surabaya "So in this study, researchers will assist the managementHeaven Store for measuring the level of efficiency that Heaven store along 5th branches can improve the quality of service by using data envelopment analysis (DEA), which is a methods that determine the level of efficiency similar organization where efficiency is not determined by the organization concerned. It is hoped this analysis will help the management to withdraw the customer so that the customer can buy the products that are sold in Heaven Store. After calculation of the mathematical model by referring to the calculation of the mathematical model DEA CRS, obtained the efficiency 0.8479688 on the fifth branch Heaven Store, then after an improvement in input and output according to the reference fixes the target model of DEA CRS, then the value of the relative efficiency DMU 5 can be increased from 0.8479688 (inefficient) to 1.000000 (efficient). Keywords: Data Envelopment Analysis, customer satisfaction, efficiency

Mathematical Representation of Quality of Service (QoS) Parameters for Internet of Things (IoT)

2020 ◽  
pp. 364-376
Author(s):  
Sandesh Mahamure ◽  
Poonam N. Railkar ◽  
Parikshit N. Mahalle
Keyword(s):  
Mathematical Model ◽  
Quality Of Service ◽  
Internet Of Things ◽  
Gap Analysis ◽  
Literature Survey ◽  
Mathematical Representation ◽  
The World ◽  
Qos Parameters ◽  
The Mathematical Model

Now we are in the era of ubiquitous computing. Internet of things (IoT) is getting matured in various parts of the world. In coming few years' billions and trillions of things will be connected to the internet. To deal with these huge number of devices in a network we need to consider Quality of Service (QoS)parameters so that system operations can be performed in a smoother way. Mathematical modelling of these QoS parameters gives an idea about which factors are needs to consider while designing any IoT-enabled system at the same time it will give the performance analysis of the system before implementation. In this paper comprehensive literature survey is done to discuss various issues related to QoS and gap analysis is also done for IoT Enabled systems. This paper proposes general steps to build a mathematical model for a system. It also proposes the mathematical model for QoS parameters like reliability, communication complexities, latency and aggregation of data for IoT. To support proposed mathematical model proof of concept also given.

Mathematical Model and Algorithm of Soy Sauce Quality Evaluation Based on Fuzzy Clustering

2011 ◽  
Vol 55-57 ◽  
pp. 2018-2022
Author(s):  
Yu Feng Li ◽  
Chun Ling Wang
Keyword(s):  
Mathematical Model ◽  
Fuzzy Clustering ◽  
Quality Evaluation ◽  
Soy Sauce ◽  
New Method ◽  
The Mathematical Model

A mathematical model is created, and the algorithm is designed according to the fuzzy clustering. The main indices of the soy sauce samples are detected, and the data are analyzed using fuzzy clustering. As a result, many classes including different soy sauce sample can be obtained, and the quality within the same class is similar. The mathematical model and algorithm provide a method to identification the soy sauce. And in the others, it provides a new method to evaluate the quality of the soy sauce.

scholarly journals DEVELOPMENT AND RESEARCH OF PROMISING SCHEMES FOR DIVIDING PIPES INTO DIMENSIONAL BILLETS

2021 ◽  
pp. 30-37
Author(s):  
Sergii Karnaukh
Keyword(s):  
Mathematical Model ◽  
Experimental Studies ◽  
Connecting Rod ◽  
High Quality ◽  
Cutting Knife ◽  
3D Software ◽  
The Mathematical Model ◽  
Cut Surface ◽  
Deform 3D

The purpose of this work is to study the known method of division of pipes by introducing a figure knife and the development of promising designs of equipment for division of pipes into measured workpieces. Based on the analysis of the actuating crank-slider mechanisms used in the equipment for division of pipes into measured workpieces, promising schemes of short-connecting rod mechanisms have been discovered that provide a local pipe section along the perimeter. The developed design of the device for dividing pipes into dimensional workpieces by the eccentric twisting method, which contains a wedge-joint mechanism in combination with a compact circular actuator, also allows to reduce energy and power costs for separation, reduce the consequences of instantaneous unloading of equipment and ensure high quality workpieces. A mathematical model of the proposed equipment was developed and the modeling of the cutting process was carried out using the DEFORM-3D software package. The analysis of the results obtained showed that in the extreme positions of the knives, jamming of the knives is possible. To eliminate jamming, it is necessary that the knives do not reach the extreme position. The adequacy of the mathematical model is confirmed by experimental studies. The error of the calculated and measured values of the torque on the cutting knife does not exceed 10%. This is due to the need for a more correct accounting of friction on the contact surfaces of the equipment. Cut tubular blanks have high geometric accuracy and high quality of the cut surface.

scholarly journals VIBRATION MODULATION CAUSES AT ROTATION FREQUENCY IN ROTARY MACHINES

Akustika ◽  
2019 ◽  
Vol 32 ◽  
pp. 151-157
Author(s):  
Sergey Alekseevich Rykov ◽  
Irina Kudryavtseva ◽  
Sergey Vladimirovich Rykov
Keyword(s):  
Mathematical Model ◽  
Experimental Studies ◽  
Rotation Frequency ◽  
Diagnostic Methods ◽  
Bearing Unit ◽  
Rotary Machines ◽  
The Mathematical Model

The results of theoretical and experimental studies of the modulation of vibrations of rotary machines have been presented at rotation frequency. It has been shown that at the rotation frequency, the possible causes of the origin of the “side” spectral discrete components are the presence of a clearance and friction in bearing units. On the basis of the data obtained in the mathematical model, the diagnostic methods of the quality of functioning the bearing unit of rotary mechanisms are proposed.

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