scholarly journals Energy wood production by disk cutting machines with different methods of chip emission

2021 ◽  
Vol 25 (2) ◽  
pp. 99-107
Author(s):  
S.V. Fokin ◽  
◽  
O.A. Fomina ◽  
Keyword(s):  
Mathematical Model ◽  
Computer Experiments ◽  
Rotation Frequency ◽  
Technological Parameters ◽  
Development Environment ◽  
Disk Rotation ◽  
Energy Wood ◽  
Ejection Mechanism ◽  
The Mathematical Model ◽  
Computer Studies

The article describes the methodology of physical and mathematical modeling of the mechanism for ejection of chips of a disk chipper. This technique allows you to calculate and optimize the design and technological parameters of the chip ejection mechanism. To accomplish this task, the flow of chip elements was divided into separate spherical elements, and the working surfaces of the chip ejection mechanism are represented by a set of fragments of planes conjugated to each other. When creating a mathematical model for calculating and optimizing the design and technological parameters of the chip ejection mechanism, the following indicators of the efficiency of the chip ejection mechanism were analyzed: the rate of chip ejection at the exit of the chipping line, the probability of chip ejection from the first revolution of the chipping disk, the mechanical power consumed for the ejection of chips after the stage of crushing the cut residues knives. The mathematical model is implemented in a computer program in the Object Pascal language in the Delphi 7 development environment. The program allows carrying out computer experiments to analyze the movement in the casing and chipping of chips obtained from felling residues and to study the effect of the design and technological parameters of the ejection mechanism on the efficiency of the disk chipper. The computer studies carried out made it possible to determine the best numerical ranges of the chipping disk rotation frequency and the number of blades located on the chipping disk. The likelihood of chip entrainment at the first revolution of the chipping disk and the power consumption for the ejection of chips from the disk chipper were also determined.

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.

scholarly journals Mathematical Model of Forest Fire Soil-thrower Movement

2020 ◽  
Author(s):  
Olga Dornyak ◽  
Ivan Bartenev ◽  
Mikhail Drapalyuk ◽  
Dmitry Stupnikov ◽  
Sergey Malyukov ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Forest Fire ◽  
Forest Fires ◽  
Degrees Of Freedom ◽  
Translational Motion ◽  
Steady Motion ◽  
Technological Parameters ◽  
Lagrange Equations ◽  
Milling Tool ◽  
The Mathematical Model

The design of a forest fire soil-thrower made to prevent and eliminate ground forest fires is presented. A mathematical model of machine movement has been developed, which enables to study the laws of the interaction process of the design with the soil. It is accepted that the machine has two degrees of freedom. The mathematical model has been obtained using the Lagrange equations of the second kind. The design and technological parameters of the forest fire soil-throwing machine, affecting the efficiency of its work, including mass and width of the grip of the ripper casing, mass, radius and frequency of rotation of the milling tool, the number and geometric parameters of the blades are taken into account. Mathematical model enables to determine the effect of these parameters on the characteristics of the movement of ripper casing and milling working body. A mathematical model is needed to synchronize the translational motion of the unit and the rotational motion of the rotor. Formulas have been obtained for the steady motion of the forest fire soil-thrower, that determine the hauling power of tractor and torque that ensures the operation of milling tools.

The Mathematical Model for the Generation of the Cylindrical Gear With Curved Cycloidal Teeth

2007 ◽  
Author(s):  
Iulian Stanasel ◽  
Adrian Ghionea ◽  
Ionut Ghionea ◽  
Petru Ungur ◽  
Oana Stanasel
Keyword(s):  
Mathematical Model ◽  
Production Costs ◽  
Reference Plane ◽  
Practical Implementation ◽  
Work Piece ◽  
Special Device ◽  
Technological Parameters ◽  
Cylindrical Gear ◽  
Processing Machine ◽  
The Mathematical Model

The performed studies regarding the cylindrical gears with curved teeth or in V showed that a uniform distribution of the load on the flanks is hard to realise, generally being necessary later finishing processing or modifying the gear by camber or flanking, which suppose supplementary expenses. On the basis of these mentions and taking into account the advantages of curved bevel gear, the purpose of this paper is to present an original study regarding the mathematical model for generation of a curved cylindrical gear with high performances. The cycloidal gear was chosen after a technical and an economical study regarding on the possibility of practical implementation with the lowest production costs using a special device, adapted on a Phauter processing machine of cylindrical gear. This was the main reason for choosing a cycloidal profile from several types of curved teeth (cycloidal arc, circle arc, Archimede’s spiral, involute arc). So, the main aim of the paper is to determine the equations of the flanks of cylindrical wheel with curved teeth in oblong cycloidal arc, in order to establish if the technical generation is possible. The curved cylindrical teeth with cycloidal flanks is generated by rolling with straight mobile line and continuous division by using a milling cutter with 1, 2, 3, 6 groups of knifes equidistantly placed, fixed on an adaptable device on a Phauter processing machine. The two curves which define the flank are simultaneously generated by correlated motions, and the flanks of the wheel part result as a roll of successive positions of generating hook materialized by the cutting edge of the tool. The shape of the contact curve between the conjugated surfaces of generating element and the wheel part can be obtained if you are taking into account the kinematic condition. Using this condition you can determine the relationship between the kinematic, geometric and technological parameters. The line of the flanks is studied in the reference plane and in parallel planes with this, and the profile of the flanks is determined in perpendicular planes on the work piece axis. Based on the parametric equations it was made the simulation program in MATLAB that indicates that this gears can be obtained, and constitutes the first step in practical manufacturing of this kind of gears. By analyzing the obtained shape they result useful conclusions for the manufacturing of the involute-tooth gear with curved oblong cycloidal arc. On the other hand, using Solid Edge it was made the spatial modeling of the cylindrical gear with curved cycloidal teeth that allows next FEA studies regarding on the contact and bending stress.

Mathematical Modeling and Optimization of Fluidized Layer Carbonitriding Process for 1C 25 Steel

2017 ◽  
Vol 1143 ◽  
pp. 180-187
Author(s):  
Marian Iulian Neacsu ◽  
Sorin Dobrovici
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Software Package ◽  
Order Equation ◽  
Graphical Interface ◽  
Technological Parameters ◽  
Fluidized Layer ◽  
The Mathematical Model ◽  
Hardness Values ◽  
Temperature Depth

This paper presents the experiment-based mathematical modelling of fluidized bed carbonitriding process for 1C 25 steel meant to optimize this type of thermochemical processing.Based on experimental results, the mathematical model was developed, which is a second order equation with three unknown terms (parameters): temperature, depth of carbonitrided layer, the percentage of ammonia.The mathematical model allowed the simulation of the fluidized layer carbonitriding process according to its parameters and the thermal energy optimization for obtaining HV hardness values in the range 300-400 MPa.Using the software package Matlab a graphical interface was done, through which all the combinations of technological parameters of the carbonitriding process are determined, leading to obtaining values of microhardness between 300 and 400 MPa, as well as the amount of energy consumed for each variant. The variant consuming the lowest energy is considered optimal.

Research on Mathematical Model of Grinding Force in Gear Form Grinding

2011 ◽  
Vol 464 ◽  
pp. 401-404
Author(s):  
Xiao Zhong Ren ◽  
Jun Peng Ding ◽  
Jian Xin Su ◽  
Xiao Yang Du
Keyword(s):  
Mathematical Model ◽  
Simulation Analysis ◽  
Grinding Force ◽  
Surface Grinding ◽  
Technological Parameters ◽  
Formation Theory ◽  
Gear Grinding ◽  
Form Grinding ◽  
Result Show ◽  
The Mathematical Model

Based on grinding force formation theory and the surface grinding force formula, the formula of gear form grinding force is obtained by integrating the grinding force in unit width along the involute direction. Simulation analysis and inspection result show that the mathematical model of gear form grinding force is validated. This research is helpful for selecting the technological parameters rationaly in gear form grinding, controlling the wheel dressing and ensuring gear grinding quality.

Physical and mathematical models of ballast bed tamping via rotary device

2016 ◽  
pp. 5-16
Author(s):  
Nikita Polyanichko
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Operation Mode ◽  
Practical Importance ◽  
Theoretical Research ◽  
Technological Parameters ◽  
Physical Experiments ◽  
Physical And Mathematical Models ◽  
The Mathematical Model ◽  
Rotary Device

Objective: To develop a mathematical model and program for defining rational technological parameters and operation mode of a rotary device for tamping the ballast bed in the tie space area. Establish the veracity of calculations performed using the mathematical model and program developed via mathematical and physical experiments. Methods: Experimental and theoretical research conducted. Results: Established veracity of the mathematical model and program for calculating the technological parameters and operation mode of the device for tamping the ballastbed in the tie space area. Practical importance: The program developed provides the ability to select rational technological parameters and operation mode for the device. It is recommended that it be used when creating tools for ballast bed solidification in the ballast box area.

scholarly journals Matrix dynamic models of elements of technological systems with perfect mixing and plug-flow hydrodynamics in Simulink

2018 ◽  
Vol 6 (2) ◽  
pp. 483-492 ◽  
Author(s):  
Anatoly Khvostov ◽  
Anatoly Khvostov ◽  
Viktor Ryazhskikh ◽  
Viktor Ryazhskikh ◽  
Gazibeg Magomedov ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Differential Equations ◽  
Dynamic Models ◽  
Plug Flow ◽  
Calculated Data ◽  
Technological Systems ◽  
Technological Parameters ◽  
Perfect Mixing ◽  
The Mathematical Model ◽  
Simulation Systems

The dynamic models of elements of technological systems with perfect mixing and plug-flow hydrodynamics are based on the systems of algebraic and differential equations that describe a change in the basic technological parameters. The main difficulty in using such models in MathWorks Simulink™ computer simulation systems is the representation of ordinary differential equations (ODE) and partial differential equations (PDE) that describe the dynamics of a process as a MathWorks Simulink™ block set. The study was aimed at developing an approach to the synthesis of matrix dynamic models of elements of technological systems with perfect mixing and plug-flow hydrodynamics that allows for transition from PDE to an ODE system on the basis of matrix representation of discretization of coordinate derivatives. A sugar syrup cooler was chosen as an object of modeling. The mathematical model of the cooler is formalized by a set of perfect reactors. The simulation results showed that the mathematical model adequately describes the main regularities of the process, the deviation of the calculated data from the regulations did not exceed 10%. The proposed approach significantly simplifies the study and modernization of the current and the development of new technological equipment, as well as the synthesis of algorithms for controlling the processes therein.

Cylindrical Workpiece Turning Using Multiple-Cutter Tool Heads

2001 ◽  
Author(s):  
Alexander M. Gouskov ◽  
Henri Paris ◽  
Sergey A. Voronov ◽  
Stephen A. Batzer
Keyword(s):  
Mathematical Model ◽  
Parametric Excitation ◽  
Dynamic Instability ◽  
The Other ◽  
System Response ◽  
Technological Parameters ◽  
Workpiece Surface ◽  
Cylindrical Workpiece ◽  
Commensurate Delays ◽  
The Mathematical Model

Abstract The dynamics of turning by a tool head with two multiple-cutter rows is considered. The mathematical model of the process with two commensurate delays with possible cutting discontinuity is analyzed. The domains of dynamic instability are derived, and the influence of technological parameters on the system response is presented. The numeric analysis of system dynamics on discontinuity of cutting is given. In particular, it is shown that there exists specific conditions for given regimes, in which one row of cutters produces an intermittent chip form while the other row produces continuous chips. It is shown that the contribution of parametric excitation by shape roughness of an imperfect (unmachined) cylindrical workpiece surface is not substantial due to the special filtering properties of multiple cutters uniformly circumferentially distributed along the tool head.

The Mathematical Model of Radial Forging of a Hollow Continuously-Cast Ingot

2000 ◽  
Author(s):  
Nikolai A. Babailov ◽  
Serguey P. Bourkine
Keyword(s):  
Mathematical Model ◽  
Continuous Casting ◽  
Continuous Casting Machine ◽  
Casting Machine ◽  
Combined Loading ◽  
Radial Forging ◽  
Technological Parameters ◽  
Cast Ingot ◽  
Continuously Cast ◽  
The Mathematical Model

Abstract The problem of a detailed research of radial forging is associated with the technological process of direct combination of continuous casting and metal forming. The mathematical model of multi-die radial forging is developed. The strain state of radial forging is investigated. The dependences of main characteristics on technological parameters for radial forging with combined loading (torsion, tension or backing) are received by the variational method. The thermal analysis of hollow continuously cast ingot during deformation is executed. The verification of mathematical model adequacy is executed by experimental researches. The design of six-dies forging unit for direct combination with vertical continuous-casting machine is developed.

scholarly journals Mathematical modeling of the grain trajectory in the workspace of the sheller with rotating decks

2020 ◽  
Vol 17 ◽  
pp. 00093 ◽  
Author(s):  
Ravil Ibyatov ◽  
Andrey Dmitriev ◽  
Bulat Ziganshin ◽  
Damir Khaliullin ◽  
Alsu Zinnatullina
Keyword(s):  
Mathematical Model ◽  
Rotation Angle ◽  
Angular Rotation ◽  
Disk Rotation ◽  
Working Space ◽  
Cereal Grain ◽  
The Moment ◽  
The Right ◽  
The Impact ◽  
The Mathematical Model

The purpose of the work is to determine the possibility of controlling the operation of cereal grain husks by changing the angular rotation speed of the disk (rotor) and deck to provide optimal conditions for peeling (removal of the flower shell from the grain). For this purpose, the movement of grain in the working space of the husk between the disk and the rotating deck is considered. The mathematical model of grain movement in the working space of the husk, taking into account the real aerodynamics of the rotating air flow, where the efficiency of peeling is determined by the speed and direction of the grain flight, is presented. To study the nature of the influence of structural and regime parameters of the desiccant on the efficiency of work, on the basis of the obtained mathematical model, numerical calculations and graphical dependences are made. On the basis of the analysis of the received graphs it is revealed that the direction of the grain impact on the deck is strongly influenced by the direction of the grain velocity vector at the moment of its tearing from the disk edge and the deck rotation angle speed. At the same time, the right angle impact of the grain can be achieved at low speeds of the deck rotation, and the speed of the grain during the impact is mainly determined by the speed of the disk rotation and practically does not depend on the speed of the deck rotation.

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