Academic literature on the topic 'Cutting machines Design and construction Mathematical models'
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Journal articles on the topic "Cutting machines Design and construction Mathematical models"
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Zastempowski, Marcin, Andrzej Bochat, Lubomir Hujo, Juraj Jablonicky, and Maciej Janiec. "Impact of Cutting Units’ Design on Biomass Cutting Resistance." Acta Mechanica et Automatica 16, no. 3 (September 1, 2022): 259–65. http://dx.doi.org/10.2478/ama-2022-0031.
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Abstract The paper presents mathematical models describing the moments of resistance to cutting on the cutting drum shafts in the biomass cutting process. The mathematical procedures described in the paper have been verified on a test stand developed and constructed by the authors, which reflects real conditions of the process of cutting plant material into pieces of specified lengths. Experimental verification proved that the developed mathematical models are adequate for drums of both cylindrical and conical constructions. The value of the average error did not exceed 13%. Following the mathematical elaboration and verification studies, the authors carried out calculations for machines currently available on the market that are equipped with drum cutting units. The calculations were carried out for the most commonly cut material, i.e. for maize, straw and green plant materials. The obtained results confirm the complexity of the problem arising from a wide range of numerical values of cutting resistance, which is contained in the range of 400–1,800 nm. The compiled database can be practically applied in the selection of machines for specific field works, and the mathematical models developed and verified in the study can be applied at the stage of designing new designs of cutting drums used in forage harvesters.
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Ismailova, N. Р., and T. M. Mohylianets. "ALGORITHMIC FORMATION OF CONNECTED MODELS FOR INFORMATION CONTROL SYSTEM IN DESIGNING KINEMATIC PAIRS." Проблеми створення, випробування, застосування та експлуатації складних інформаційних систем, no. 20 (November 26, 2021): 67–73. http://dx.doi.org/10.46972/2076-1546.2021.20.06.
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In modern systems for the automatic design of complex products for military equipment, algorithmic construction of conjugate models of curved surfaces using computer technologies that exclude interference are increasingly being used. This gives a powerful impetus to the development of applied geometry of surfaces and stimulates the search for new ways to improve the technological processes of manufacturing parts, on machines with an information control system. In particular, this applies to technological operations on numerically controlled machines. One of the main directions in modeling kinematic pairs should be considered the study and design of the shapes of surfaces in close connection with the operating conditions of structures in military equipment and weapons in which they are to be used. The shapes of complex curved surfaces affect the reliability and durability of mechanisms in military equipment and weapons and therefore require more careful consideration of external conditions when designing. Much attention is paid to the design of surfaces, taking into account an increasing number of predetermined requirements, conditions for the formation of curved surfaces of kinematic pairs in military equipment. The use of algorithmic constructions of conjugated kinematic pairs for an information control system in the manufacture of real surfaces of military equipment obtained as a result of stamping, the creation of a geometric model of stamping, reflecting a real physical process, is an urgent problem. In recent years, in the manufacture of precision high-quality products of kinematic pairs and cutting tools in military equipment and weapons, complex curved surfaces have been widely used, which require the development of a geometric and mathematical apparatus for their modeling. Algorithmic modeling of curvilinear transformations for the formation of mating surfaces of kinematic pairs in military equipment, based on a parametric kinematic screw, is proposed, which will eliminate interference during their manufacture.
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Fomin, Alexey. "The Synthesis, Designing and Analysis of the Spatial Mechanisms with Imposed Constraints." Applied Mechanics and Materials 756 (April 2015): 495–99. http://dx.doi.org/10.4028/www.scientific.net/amm.756.495.
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The present study provides structural synthesis, designing of 3D models and kinematic analysis of the developed spatial one-and two-movable mechanisms with imposed constraints. These mechanisms have an opportunity of technological application as mechanisms for cutting the complex internal surfaces of machine elements. The mechanisms produce a special kind of screw motion which is the most suitable means for cutting of complex spatial surfaces. Structural synthesis was based on mathematical solution of universal structural system where numbers of kinematic pairs and movable links were calculated. 3D-modelling analysis allowed to identify motion paths of their output links with machining tools. This investigation results gave an opportunity to analyze the tools motion, optimize their constructions and use of relevant parameters, and design their motions to obtain specified surfaces of machine elements.
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Zastempowski, Marcin, Andrzej Bochat, and Lubomír Hujo. "Selected Aspects of Modelling and Design Calculations of Roller Mills." Sustainability 13, no. 5 (March 1, 2021): 2595. http://dx.doi.org/10.3390/su13052595.
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An analysis of construction was conducted in this study, and the guidelines for designing roller mills used commonly in the agri-food, chemical, power and construction industries were presented. Quick designing of the machines required existence of adequate mathematical models. Within the framework of the study’s realization, a mathematical model was developed and we presented the selected results of calculations of the milling rollers loading from the assembly’s mill bowl. The simulation calculations conducted with the mathematical model unambiguously show that the roller’s rotation around a fixed point considerably influences the total loading of the mill’s bowl, and passing over that phenomenon is a mistake.
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Smirnov, Yu M., B. M. Kenzhin, N. S. Smakova, and M. A. Zhurunova. "Optimized control over modes of hydraulic percussion cutting heads of mining machines." Mining informational and analytical bulletin, no. 6 (May 20, 2020): 95–104. http://dx.doi.org/10.25018/0236-1493-2020-6-0-95-104.
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The main cause of the disagreement between the actual and calculated output data of hydraulic percussion mining machines is the erroneous feed of manipulation signals by the control units. For the maximal fitting of the calculated and actual figures, the continuous method of control action using the third time derivative of the law of motion of the main function element is accepted, namely, the accuracy. The mathematical models of control using displacement, velocity and acceleration are developed. The service factors of mining machines are found. Based on the theory of control and the mathematical logic theory, the logical circuits of formation of manipulation signals in each phase of the working cycle are developed. The main elements are converters, integrators and accumulators ensuring decomposition of elements of the logical circuits and further generation of appropriate control action. It is found that the simplest way is to generate the control action for acceleration of the key function element. For the developed circuits, it is recommended to use general charts of the control action change, implementable for a certain design of hydraulic percussion cutting heads in certain operating conditions.
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Bubic, F. R. "FUNDAMENTAL BIOROBOTICS OF INHERENTLY LIFELIKE MACHINES." Transactions of the Canadian Society for Mechanical Engineering 23, no. 1A (March 1999): 1–18. http://dx.doi.org/10.1139/tcsme-1999-0001.
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An original way to define, analyze and design mechanical systems with inherently lifelike dynamic properties is presented. The construction of elementary actuating mechanisms for robotic manipulators which embody a complete set of technologically relevant biological principles is outlined. The ultimate objective is to develop a new class of mobile, autonomous, and interactive machines which dynamically emulates live musculoskeletal systems. This study introduces the mathematical models and algorithms to transform and synthesize the results of research in musculoskeletal physiology into explicit engineering design specifications. The application of a new contractile muscle-like viscoelastic motor as a servomechanical drive for articulated rigid link mechanisms is investigated. Key features of the neuromuscular force control by twitch summation are combined to formulate a pulse stream control method suitable for fluid powered mechanisms.
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Yusubov, Nizami, and Heyran Abbasova. "Full-factor matrix model of accuracy of dimensions performed on multi-purpose CNC machines." Metal Working and Material Science 23, no. 4 (December 13, 2021): 6–20. http://dx.doi.org/10.17212/1994-6309-2021-23.4-6-20.
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Introduction. One of the main reasons that modern multi-purpose CNC machines do not use the capabilities of multi-tool processing is the lack of recommendations for design in this direction and, accordingly, for adjustment schemes. The study of the possibilities of multi-tool processing on multi-purpose machines is the subject of the work. The purpose of research: The problem of developing full-factor matrix models of dimensional accuracy and its sensitivity to the machining process is considered to increase the machining efficiency while ensuring machining accuracy using the technological capabilities of multi-tool machining on modern multi-purpose CNC machines. For this purpose, full-factor matrix models of the size scattering fields performed on multi-tool double-carriage adjustments have been developed, taking into account the cases of processing parts with dimensions that differ sharply in different directions, which are often encountered in practice, and in this case, the significant influence of the turns of the workpiece on the processing error, especially in directions with sharply different overall dimensions. Results of research: The developed accuracy models make it possible to calculate not only plane-parallel displacements of the technological system for double-carriage adjustments, but also angular displacements around base points, take into account the combined effect of many factors – a complex characteristic of the subsystems of the technological system (plane-parallel matrix of compliance and angular matrix of compliance), the geometry of the cutting tool , the amount of bluntness of the tool, cutting conditions, etc. As a result, based on the developed accuracy models, it is possible to obtain several ways to control multi-tool machining, including improving the structure of multi-tool adjustments, calculating the limiting values of cutting conditions. Based on the developed full-factor matrix models, it became possible to develop recommendations for the design of adjustments and the creation of an automated design system for multi-tool machining for a group of modern multi-purpose CNC lathes. Scope of the results: The results obtained can be used to create mathematical support for the design of operations in CAD-systems provided for multi-tool multi-carriage machining performed on multi-purpose machines. Conclusions: The developed models and methodology for simulating the machining accuracy make it possible to increase the accuracy and efficiency of simultaneous machining, to predict the machining accuracy within the specified conditions.
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Xu, Chen, Yujie Zhu, Danqing Song, Xiaogang Guo, Xiaoli Liu, Enzhi Wang, and Runhu Lu. "Comparison of DEM Models with Different Elemental Dimensions for TBM Disc Cutter Rock Fragmentation." Sustainability 14, no. 19 (October 10, 2022): 12909. http://dx.doi.org/10.3390/su141912909.
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Disc cutters are the dominant tool used in the excavation of hard rock formations in any underground construction application, such as when tunneling using tunnel-boring machines (TBM), as well as in shaft- and raise boring operations. Optimization of the cutting geometry of a given disc cutter for application in a rock formation often involves full-scale cutting tests, which is a difficult and costly proposition. An alternative to full-scale testing is the numerical simulation of TBM disc cutters for optimization under different settings. Recent efforts in the field of numerical simulations of rock cutting have shown the relative success of discrete element models, such as particle flow code (PFC), to simulate two- and three-dimensional rock fragmentation. This study is focused on a sensitivity analysis of PFC simulation of rock-cutting relative to the size of the elements. The calculated cutting forces were compared with the recorded forces under various conditions during full-scale tests using a linear cutting machine (LCM) on Colorado red granite (CRG). The estimated cutting coefficient and specific energy in the LCM tests and simulations showed good correlations, which validates the numerical simulation results. Two- and three-dimensional models showed that two-dimensional numerical models can offer a qualitative assessment of crack development, whereas three-dimensional models could be used to estimate the specific energy when cutting. The results can help in predicting the cutting forces in different rocks and ultimately improving disc-cutter geometry and cutter-head design.
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Rudikov, D. A., and A. S. Ilinykh. "Error analysis of the cutting machine step adjustable drive." Journal of Physics: Conference Series 2131, no. 2 (December 1, 2021): 022046. http://dx.doi.org/10.1088/1742-6596/2131/2/022046.
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Abstract The implementation precision of a number of adjustment bodies of a metal-cutting machine is also the most important indicator of its quality, a strictly standardized industry standard, technical conditions for manufacturing and acceptance. Moreover, the standard for limiting the error is set depending on the used denominator of the series. An essential feature of the precision of the series being implemented is that it is determined not by an error in parts’ manufacturing, but by the disadvantages of the used method of kinematic calculation. The established modes largely determine the efficiency of processing on metal-cutting machines. If the setting is set to an underestimated mode, then the performance is reduced accordingly. In the case of the mode overestimation, this leads to a decrease in durability and losses due to increased regrinding and tool changes. Creation of a complex of mathematical models for the design kinematic calculation of the metal-cutting machines’ main movement drive, which allows reducing the error in the implementation of a series of preferred numbers and increasing machining precision. The article provides a mathematical complex for analyzing the total error components, which allows determining and evaluating the total error of the drive of a metal-cutting machine by analyzing its constituent values with high precision: errors of a permanent part, errors of a multiplier part, rounding errors of standard numbers, errors in the electric motor and belt transmission. The presented complex helps to identify the role of the rounding error of preferred numbers in the total relative error formation and makes it possible to reduce it, which allows solving the problem of increasing the step adjustable drive precision. When using a mathematical complex, a fundamentally new opportunity for creating a scientific base appears, developing algorithms and programs for engineering calculation of tables that facilitate the selection of the numbers of teeth for multiple groups, structures and guaranteeing high precision of the implemented series.
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Ismailova, Nelli, Valentyn Bogach, Borys Lebedev, Nataliia Oliinyk, and Serhii Manakov. "Modeling mated surfaces with the required parameters." Eastern-European Journal of Enterprise Technologies 2, no. 1 (110) (April 20, 2021): 21–26. http://dx.doi.org/10.15587/1729-4061.2021.227691.
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This paper has proposed improving the methods of circular and screw conversion, to be used in the design of cutting tools and toothing that include complex mated surfaces. Underlying the improvement of both methods is the construction of a mathematical base and the development of a computer subprogram, based on it, in the MATLAB system. During the research, the original screw-type curved surface and the curvilinear generatrix axis were formed on the basis of improved methods, taking into consideration the exclusion of interference at the design stage. A comprehensive solution to this problem is important for the manufacture of products by rolling. Given this, the original instrumental surface of the cutting tool takes into consideration the pairing condition between the article’s and tool’s points. The result, when designing gears and cutting tools using the proposed improved methods, assigns the curvilinear surface parametrically, represented by two-dimensional arrays characterizing its coordinates. To avoid interference at the design stage, it is necessary to analyze the intersection of the axis of the curvilinear generatrix with horizontal planes. That would make it possible, when machining an article, to avoid cutting, jamming, as well as the dangerous concentration of stresses. The accuracy and reliability of a wide range of articles in machines and machinery and other kinematic pairs also improve. The proposed improvement of circular and screw conversion methods to simulate curvilinear mated surfaces that exclude interference at the design stage is of practical interest in machine building
Dissertations / Theses on the topic "Cutting machines Design and construction Mathematical models"
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Boje, Edward Sidney. "Quantitative feedback design and construction of a two by two system with large disturbances." Thesis, 1989. http://hdl.handle.net/10413/9012.
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The quantitative feedback theory (QFT) of Horowitz is theoretically well developed for multivariable systems but there is not sufficient knowledge on its
application to practical problems. A "flying machine" consisting of an airframe
with two independently controlled sets of wings has been designed and
constructed as a 2-input 2-output control problem. The airframe is constrained
to move vertically on guide wires and to rotate about a pivot. Air flow over the
wings is provided by two 7.SkW fans operated without any attempt at providing
non-turbulent flow. The arrangement of the wings is such that in open loop, the
dynamic behaviour of the airframe from the rear set of wings to the height is
non-minimum phase. Additionally, the airframe is unstable for some flight
conditions. This uncertain, non-linear and highly disturbed plant provides an
ideal practical environment in which to test controller design theory. The construction, modelling, parameter estimation and simulation of the flying
machine is described. Three different controller structures are disGussed, with
actual controller designs arrived at from QFT understanding. The controller
designs for the flying machine take into account parameter uncertainty and trade off disturbance attenuation against rate and amplitude saturation at the wing angle inputs.Thesis (Ph.D.)-University of Natal, Durban, 1989.
Books on the topic "Cutting machines Design and construction Mathematical models"
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Gawlik, Józef. Matematyczne modelowanie procesu zużycia narzędzi skrawających: Nadzorowanie stanu narzędzi. Kraków: Politechnika Krakowska, 1998.
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Gao su ying tai qie xiao jia gong ji qi wen ding xing yan jiu. Beijing: Ji xie gong ye chu ban she, 2014.
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Balovnev, V. I. Methods of scale modeling of operating processes of highway construction machines. New Delhi: Oxonian Press, 1986.
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Myeyeryakova, Vyera, and Viktor Starodubov. CNC Metal-cutting Machines. ru: INFRA-M Academic Publishing LLC., 2015. http://dx.doi.org/10.12737/5721.
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In the manual various ways of control of metal-cutting machines are considered, the principles of construction and possibility of systems of ChPU are given. Features of configurations and designs of machines with ChPU are presented,
ways of expansion of their technological capabilities, increases of productivity, accuracy and reliability.
The tasks solved during the training of managing directors of programs, feature of technological preparation, mathematical calculations and control unitary enterprise are considered. Programming bases for machines about ChPU, methods of adjusting are given,
features of technological service and repair. It is intended for students of the higher educational institutions which are trained in the directions 151900 "Design-technology ensuring machine-building productions" (qualification — the bachelor) and 151000
"Technological machines and the equipment" (qualification — the bachelor) on a preparation profile "Metal-cutting machines and complexes", and also for preparation in lyceums, technical schools, on special courses of CNC operators, members of repair crews, technologists-programmers.
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Iamaniże, Tʻ. Sangrevi instrumentisa da kʻanis urtʻiertʻkʻmedebis procʻesebis optimizacʻia. Tʻbilisi: "Mecʻniereba", 1995.
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ZnO bao mo zhi bei ji qi guang, dian xing neng yan jiu. Shanghai Shi: Shanghai da xue chu ban she, 2010.
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Gear Cutting Tools: Fundamentals of Design and Computation. CRC Press, 2010.
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Bhowmik, Shibashis. System optimization studies related to stator design and AC/AC converter selection for brushless doubly-fed machines. 1992.
Find full textBook chapters on the topic "Cutting machines Design and construction Mathematical models"
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Celikbilek, Can, and Gürsel A. Süer. "Supply Chain Design Approaches for Dual Demand Management Strategies." In Advances in Logistics, Operations, and Management Science, 161–200. IGI Global, 2016. http://dx.doi.org/10.4018/978-1-5225-0021-6.ch009.
Full textAbstract:
Supply chain management involves efficiently integrating suppliers, manufacturers, warehouses, stores, and customers. To survive in a highly competitive business environment, manufacturing, resource planning and scheduling and distribution operations are the significant drivers that need to be optimized within supply chain management. In this chapter, we design the supply chain system considering dual demand management strategies simultaneously for the same company, both engineer-to-order (ETO) and make-to-order (MTO). This research has been inspired from the window manufacturer which manufactures and distributes vinyl windows to meet new construction and replacement/remodeling sector demand in the State of Ohio. The company manufacturers windows based on make-to-order strategy for new construction projects and at the same time builds replacement windows to individual customer specifications in very small quantities to be used for replacement in homes. In this study, a total of 174 individual customers and six big contractors are considered throughout the State of Ohio. This paper proposes to separate products based on demand management strategy and develop different supply chain networks for each group. The idea is to design bigger facilities for high volume (make-to-order products) as transportation cost per unit is reduced due to economies of scale whereas to place smaller and more facilities for low volume engineer-to-order products to be closer to the clients where it may not feasible to carry a only few products over long distances. All in all, this study provides nested models to integrate both design and operational aspects of supply chain system in the presence high-volume and low-volume of window products. Moreover, all location, design and manufacturing operations are performed by considering new mathematical models (mixed-integer and integer mathematical models) and heuristics in engineer-to-order demand management environment. Normally-distributed, probabilistic demand environment is considered in our design and operational phase of the study. Preliminary results show that, each design has its own strategic advantage and outcome and the ultimate objective has been accomplished in our design in this study. Briefly, four manufacturing facilities are established to meet the demand of replacement/remodeling sector and two manufacturing facilities are situated to meet the demand of new construction sector. The results revealed that, 29 layered-cells and a total of 200 machines are opened and utilized for replacement/remodeling sector. Additionally, 15 layered-cells and a total of 104 machines are needed to cover the entire demand of new construction sector. Also for the new construction sector, three distribution centers are needed to facilitate the products over the region. In terms of daily cell loading and scheduling phase, the results are almost doubled in replacement/remodeling sector demand compared to new construction sector demand volume due to having more cells and machines in the new construction design strategy. The supply chain work involves location and number of manufacturing facilities, number and location of distribution centers, detailed design of manufacturing systems and performing scheduling to confirm the validity of the manufacturing system design.
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Celikbilek, Can, and Gürsel A. Süer. "Supply Chain Design Approaches for Dual Demand Management Strategies." In Supply Chain and Logistics Management, 491–526. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-0945-6.ch024.
Full textAbstract:
Supply chain management involves efficiently integrating suppliers, manufacturers, warehouses, stores, and customers. To survive in a highly competitive business environment, manufacturing, resource planning and scheduling and distribution operations are the significant drivers that need to be optimized within supply chain management. In this chapter, we design the supply chain system considering dual demand management strategies simultaneously for the same company, both engineer-to-order (ETO) and make-to-order (MTO). This research has been inspired from the window manufacturer which manufactures and distributes vinyl windows to meet new construction and replacement/remodeling sector demand in the State of Ohio. The company manufacturers windows based on make-to-order strategy for new construction projects and at the same time builds replacement windows to individual customer specifications in very small quantities to be used for replacement in homes. In this study, a total of 174 individual customers and six big contractors are considered throughout the State of Ohio. This paper proposes to separate products based on demand management strategy and develop different supply chain networks for each group. The idea is to design bigger facilities for high volume (make-to-order products) as transportation cost per unit is reduced due to economies of scale whereas to place smaller and more facilities for low volume engineer-to-order products to be closer to the clients where it may not feasible to carry a only few products over long distances. All in all, this study provides nested models to integrate both design and operational aspects of supply chain system in the presence high-volume and low-volume of window products. Moreover, all location, design and manufacturing operations are performed by considering new mathematical models (mixed-integer and integer mathematical models) and heuristics in engineer-to-order demand management environment. Normally-distributed, probabilistic demand environment is considered in our design and operational phase of the study. Preliminary results show that, each design has its own strategic advantage and outcome and the ultimate objective has been accomplished in our design in this study. Briefly, four manufacturing facilities are established to meet the demand of replacement/remodeling sector and two manufacturing facilities are situated to meet the demand of new construction sector. The results revealed that, 29 layered-cells and a total of 200 machines are opened and utilized for replacement/remodeling sector. Additionally, 15 layered-cells and a total of 104 machines are needed to cover the entire demand of new construction sector. Also for the new construction sector, three distribution centers are needed to facilitate the products over the region. In terms of daily cell loading and scheduling phase, the results are almost doubled in replacement/remodeling sector demand compared to new construction sector demand volume due to having more cells and machines in the new construction design strategy. The supply chain work involves location and number of manufacturing facilities, number and location of distribution centers, detailed design of manufacturing systems and performing scheduling to confirm the validity of the manufacturing system design.
Conference papers on the topic "Cutting machines Design and construction Mathematical models"
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Konopatskiy, Evgeniy, and Andrey Bezditnyi. "Solid Modeling of Geometric Objects in Point Calculus." In 31th International Conference on Computer Graphics and Vision. Keldysh Institute of Applied Mathematics, 2021. http://dx.doi.org/10.20948/graphicon-2021-3027-666-672.
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The paper describes an approach to solid modeling of geometric objects in the form of an organized three-parameter set of points in three-dimensional space. The relevance of the research topic is due to the widespread use of solid-state models in various branches of science and technology, mechanical engineering, construction and medicine. Solid-state computer models are currently one of the basic computer graphics tools and an integral part of computer- aided design and calculation systems. It is widely used as one of the control elements of CNC machines and 3D printing, the development of information systems in the design and construction of buildings and structures, finite element calculations of deformed states in aircraft and mechanical engineering, their manufacture in medicine, etc. The choice of point calculus as a mathematical apparatus for the analytical description of solid models of geometric objects is substantiated. Examples of modeling sets of elliptical bodies and toroidal bodies in a simplex of three-dimensional space are given.