RESEARCH OF THE FORMS OF MOTION TRAJECTORIES OF THE WORKING TOOL OF TOROIDAL PLANETARY EXECUTIVE UNITS OF MINING MACHINES

2021 ◽  
pp. 19-24
Author(s):  
Denys Dovhal ◽  
Keyword(s):  
Mathematical Model ◽  
Rock Mass ◽  
Geometric Modeling ◽  
Tool Path ◽  
Geometric Analysis ◽  
Practical Significance ◽  
Operating Parameters ◽  
Motion Trajectories ◽  
Characteristic Features ◽  
Executive Body

Purpose. The purpose of this work is to determine and geometric analysis of possible forms of trajectories of the working tool, depending on the design and operating parameters of the torus planetary executive bodies of mining machines in the destruction of rock mass or minerals. Methods. Studies are based on the provisions of analytical and differential geometry, geometric modeling of objects, processes and phenomena, the theory of destruction of rocks and coal, as well as the theory of planetary executive bodies of mining machines. Results. On the basis of the mathematical model of the working process of the torus planetary executive body, the main forms of the trajectory of the spatial motion of a single working tool are considered, their geometric analysis is carried out. The characteristic features of the change in the shape of the trajectories are revealed when the values of the design and operating parameters of the executive body are varied, and their frequency is determined. Scientific novelty. For the first time, in the general case, a mathematical model of the process of movement of a single tool of a torus planetary executive body was analyzed in order to identify all possible characteristic forms of trajectories and, as a result, face surfaces, which constitute the basis for further research and optimization of the kinematic and dynamic characteristics of the process of destruction of a rock mass by executive bodies of mining machines. of the specified type. Practical significance. Scientifically substantiated data on the influence of the values ​​of the design and operating parameters on the parameters of the tool path, the degree of surface treatment of the face and the conditions for the transition of the torus executive body to other design cases of the planetary executive body have been obtained. All this in the future will make it possible to determine rational relationships between the design and operating parameters of the torus executive body, which will provide an effective “grid” of cutting, which will minimize the energy indicators of the destruction process and improve the fractional composition of the separated rock mass.

scholarly journals Model of the dynamics of a wheeled vehicle for a complex of full-scale-mathematical modeling

2020 ◽  
Vol 1 (4) ◽  
pp. 46-60
Author(s):  
B.B. Kositsyn ◽  
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Real Time ◽  
Block Diagram ◽  
Plane Motion ◽  
Full Scale ◽  
Practical Significance ◽  
Modes Of Operation ◽  
Wheeled Vehicle ◽  
Full Scale Tests

Introduction. The use of the method of full-scale-mathematical modeling in “real time” opens up wide opportunities associated with the analysis of the modes of operation of the “man – vehicle – environment” system, as well as the study of the loading of units and assemblies of vehicles. The existing research complexes of full-scale mathematical modeling are suitable for obtaining most of the indicators usually determined by full-scale tests. The difference lies in the ability to fully control the course of virtual testing, recording any parameters of the vehicle movement, taking into account the “human factor”, as well as complete safety of the experiment. Purpose of research. The purpose of this work is to create a mathematical model of the dynam-ics of a wheeled vehicle, suitable for use in such a complex of full-scale mathematical modeling and assessment of the load of transmission units in conditions close to real operation. Methodology and methods. The proposed model is based on the existing model of the dynamics of a wheeled vehicle developed at Bauman Moscow State Technical University. Within the framework of the model, the dynamics of a vehicle is described as a plane motion of a rigid body in a horizontal plane. The principle of possible displacements is applied to determine the normal reac-tions of the bearing surface. The interaction of the wheel with the ground in the plane of the support base is described using an approach based on the “friction ellipse” concept. To enable the driver and operator of the full-scale mathematical modeling complex to drive a virtual vehicle in “real time” mode, the mathematical model is supplemented with a control system that communicates between the control parameter set by the driver by pressing the accelerator and brake pedals and the control actions of the vehicle's transmission units, such as: an electric machine, an internal combustion en-gine, a hydrodynamic retarder and a brake system. The article presents a block diagram of the de-veloped control algorithm, as well as approbation of the system's operation in a complex of full-scale mathematical modeling. Results and scientific novelty. A mathematical model of the dynamics of a wheeled vehicle was developed. It opens up wide possibilities for studying the modes of operation of the “driver-vehicle-environment” system in “real time”, using a complex of full-scale mathematical modeling. Practical significance. A mathematical model of the dynamics of a wheeled vehicle was devel-oped. It is supplemented with an algorithm for the distribution of traction / braking torques between the transmission units, which provide a connection between the driver's pressing on the accelerator / brake pedal and the control parameters of each of the units.

scholarly journals Diagnostic Procedures for Jet Engines

1985 ◽  
Author(s):  
R. Lunderstädt ◽  
K. Fiedler
Keyword(s):  
Mathematical Model ◽  
Path Analysis ◽  
Working Conditions ◽  
Measurement Data ◽  
Diagnostic Procedures ◽  
Practical Significance ◽  
Jet Engines ◽  
Actual Measurement ◽  
Jet Engine ◽  
The Mathematical Model

In the paper to be presented diagnostic procedures on the basis of a gas path analysis are applied on a two-shaft jet engine. Starting from the mathematical model of the engine a filter-algorithm is used which delivers from actual measurement data the state of the engine for different working conditions. The procedure is proven for some examples and discussed in regard of its practical significance.

scholarly journals Development of a mathematical model for calculating the process of crushing hard rocks by explosions of cylindrical charges of explosives

2020 ◽  
Vol 5 ◽  
pp. 30-32
Author(s):  
Norov Yunus Dzhumaevich ◽  
Mehmonov Maksud Rabbonokul ugli
Keyword(s):  
Mathematical Model ◽  
Rock Mass ◽  
Mechanism Of Action ◽  
Mathematical Description ◽  
Granulometric Composition ◽  
Rock Fragmentation ◽  
Hard Rocks ◽  
Definition Of ◽  
The Relationship

The article presents a developed mathematical model for calculating the granulometric composition of the blasted rock mass based on the mechanism of action of an explosion in rocks, a mathematical description of the determination of natural units (blocks) in the rock mass, the relationship between the degree of rock fragmentation and the size of the units and the definition of sections of the controlled pressure zone.

scholarly journals MEANS OF FORMING INFORMATION AND COMMUNICATION SYSTEMS IN THE DESIGN OF THE INCLUSIVE SPACE OF THE SCHOOL

2021 ◽  
Author(s):  
Ksenia Katrichenko ◽  
◽  
Svitlana Kryvuts ◽  
Olena Vasina ◽  
◽  
...  
Keyword(s):  
Secondary Schools ◽  
Inclusive Education ◽  
Communication Systems ◽  
Practical Significance ◽  
Inclusive Design ◽  
Analysis Of Means ◽  
Foreign Countries ◽  
Inclusive Approach ◽  
Information And Communication ◽  
Characteristic Features

The article is devoted to the analysis of means of formation of information and communication systems taking into account inclusive design. The constant development of innovative project developments in this direction indicates a change in conceptual approaches to their design and the urgency of changing the paradigm of inclusive education, which takes into account accessibility and safety for all students without exception. The system approach allowed to establish connections between the ergonomic component of the formation of the design of information and communication systems, their functionality and aesthetic expressiveness. The method of abstraction helped separate from certain properties and relations of the object and at the same time focus on those properties that are the direct object of scientific research; the method of generalization contributed to the logical completion of abstraction; the method of classification allowed to determine the specific characteristics in solving the problems of the best examples of project activities with the possibility of their theoretical justification. The social significance and relevance of the chosen research topic lies in the analysis and identification of fundamentally new design solutions for the educational space of secondary schools, which have been implemented in foreign countries. Characteristic features of their solution are taking into account the principles of universal (inclusive) design based on the use of technological innovations, availability of spatial planning, design and artistic solutions, which significantly improve the implementation of information and communication systems. Functional comfort, in this case, is considered as a generalized criterion for optimizing the system "human-object or process-environment". In addition, the inclusive approach takes into account the comfortable and aesthetic conditions of students' adaptation to the new modern standards of education and testifies to its practical significance. It is a special synthesis of ergonomics and design in the educational environment, and also allows you to create new "scenarios" of educational activities of modern students. Analysis of aspects of the developed design model of an inclusive approach in solving information and communication systems will help initiate its implementation in the educational space of secondary schools of Ukraine.

Geometric Modeling of Cutter/Workpiece Engagements in 3-Axis Milling Using Polyhedral Models

2007 ◽  
Author(s):  
Eyyup Aras ◽  
Derek Yip-Hoi
Keyword(s):  
Cutting Forces ◽  
Geometric Modeling ◽  
Tool Path ◽  
Cutting Tool ◽  
Milling Process ◽  
Mapping Technique ◽  
Depth Of Cut ◽  
Modeling Methodology ◽  
Machining System ◽  
Engagement Angle

Modeling the milling process requires cutter/workpiece engagement (CWE) geometry in order to predict cutting forces. The calculation of these engagements is challenging due to the complicated and changing intersection geometry that occurs between the cutter and the in-process workpiece. This geometry defines the instantaneous intersection boundary between the cutting tool and the in-process workpiece at each location along a tool path. This paper presents components of a robust and efficient geometric modeling methodology for finding CWEs generated during 3-axis machining of surfaces using a range of different types of cutting tool geometries. A mapping technique has been developed that transforms a polyhedral model of the removal volume from Euclidean space to a parametric space defined by location along the tool path, engagement angle and the depth-of-cut. As a result, intersection operations are reduced to first order plane-plane intersections. This approach reduces the complexity of the cutter/workpiece intersections and also eliminates robustness problems found in standard polyhedral modeling and improves accuracy over the Z-buffer technique. The CWEs extracted from this method are used as input to a force prediction model that determines the cutting forces experienced during the milling operation. The reported method has been implemented and tested using a combination of commercial applications. This paper highlights ongoing collaborative research into developing a Virtual Machining System.

The Moving Object Detection and Research Effects of Noise on Images Based on Cellular Automata With a Hexagonal Coating Form and Radon Transform

2020 ◽  
pp. 330-359
Author(s):  
Ruslan Leonidovich Motornyuk ◽  
Stepan Mykolayovych Bilan
Keyword(s):  
Mathematical Model ◽  
Image Processing ◽  
Cellular Automata ◽  
Radon Transform ◽  
Experimental Analysis ◽  
Moving Objects ◽  
Image Identification ◽  
Radon Projections ◽  
Software And Hardware ◽  
Characteristic Features

Methods for image identification based on the Radon transform using hexagonal-coated cellular automata in the chapter are considered. A method and a mathematical model for the detection of moving objects based on hexagonal-coated cellular automata are described. The advantages of using hexagonal coverage for detecting moving objects in the image are shown. The technique of forming Radon projections for moving regions in the image, which is designed for a hexagonal-coated cellular automata, is described. The software and hardware implementation of the developed methods are presented. Based on the obtained results, a hexagonal-coated cellular automata was developed to identify images of objects based on the Radon transform. The Radon transform allowed to effectively extract the characteristic features of images with a large percentage of noise. Experimental analysis showed the advantages of the proposed methods of image processing and identification of moving objects.

Investigation and Modeling of Flag Generation in Honeycomb Sandwich Panel Machining

2018 ◽  
Author(s):  
Derek M. Yip-Hoi ◽  
David D. Gill
Keyword(s):  
Geometric Modeling ◽  
High Speed ◽  
Tool Path ◽  
Sandwich Panels ◽  
Cutting Parameters ◽  
Honeycomb Structures ◽  
Anisotropic Mechanical Properties ◽  
Honeycomb Sandwich ◽  
Low Stiffness ◽  
The Impact

Light weight honeycomb structures lend themselves to important applications in aerospace. These range from aerodynamic and structural components such as wing edges, flaps, rotor blades and engine cowlings, to aircraft interior structures such as overhead luggage bins, compartment liners, bulkheads and the monument structures found in galleys and lavatory areas. Often the honeycomb is formed into a composite ply sandwich with fiberglass face sheets bonded to the honeycomb core. These panels are cut to shape using CNC routers and specially designed cutting tools. However, the quality of the cuts generated even with these special tools leaves much to be desired. The low stiffness of the structure leads to imperfections such as fraying of the cut face sheet edges and the generation of flags along the cut honeycomb edge. These impact the ease of assembly and often require manually intensive reworking to mitigate. The cutting of honeycomb structures and sandwich panels is challenging due to low stiffness, anisotropic mechanical properties and a high proportion of interrupted cutting due to the air voids that are present. The cutting mechanics are not well understood at this time. This paper presents findings from the study of cutting of honeycomb sandwich panels using high speed videography and correlates these with results of geometric modeling of the engagement between the cutter and workpiece. The study includes the impact of the trajectory of the tool path through the cell structures on the generation of flagging. It also reports on the effects of two different cutting tool geometries and the introduction of a lead angle on the size and structure of the flags generated. These findings present the case for a research regime similar to the one completed for solid metals, into modeling the mechanics behind machining honeycomb structures. This will help manufacturers using these materials to make better choices in the tools, cutting parameters and machining strategies that they employ in their process planning.

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