Effect of fixing the pass-through turning tool in the tool holder on the roughness and surface macro deviations during turning

The scientific work represents a research of the cutting process in order to determine the influence of the cutting tool extensions length from the tool holder and the cutting forces that occur during processing and corresponding to different values of the removed layer on the formation of the quality of the surface layer of parts during turning. As a cutting tool, the research used a PCLNR2525M12 straight-turning tool with replaceable T15K6 carbide inserts. Steel cylindrical workpieces with a diameter D = 40 mm (steel grade - 30) were used as workpieces. Cutting was carried out at three different cutting depths: 0.4, 1, 1.5 mm. The feed rate and spindle speed throughout the experiment were constant and were equal to s = 0.1 mm/rev, n = 1000 rpm, respectively. The geometric deviations of the cutter from the theoretical cutting line were determined by mathematical modeling methods. Linear displacements formed due to the stress-strain state of the cutter were used as estimated parameters. The study presents the methodology for preparing and conducting mathematical modeling using the three-dimensional modeling system KOMPAS-3D and APM FEM module. The roughness parameters that occur during turning by cutters with different tool extension with different cutting modes were studied experimentally.

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Three-dimensional modeling and simulation of deformation behavior of fancy weft knitted stitch fabric

Textile Research Journal ◽

10.1177/0040517516658518 ◽

2016 ◽

Vol 87 (14) ◽

pp. 1742-1751 ◽

Cited By ~ 3

Author(s):

Sha Sha ◽

Pibo Ma ◽

Lisa Parrillo Chapman ◽

Gaoming Jiang ◽

Aijun Zhang

Keyword(s):

Deformation Behavior ◽

Scale Up ◽

Three Dimensional ◽

B Splines ◽

Three Dimensional Modeling ◽

Dimensional Modeling ◽

Nurbs Curves ◽

Weft Knitted Fabric ◽

Spatial Coordinates ◽

Pass Through

In order to obtain deformation behavior and volumetric characteristic of fancy weft knitted fabric, loop models are built on improved particle systems in this article. The problem of the non-uniform rational B-splines (NURBS) curves, which cannot pass through all control points, is solved by using an interpolation algorithm which can generate new auxiliary points. To simulate the twist of folded yarns, the NURBS curves are regarded as the geometric center, which is rotated with cylinders whose three relative Euler angles are calculated by the spatial coordinates of adjacent points. By analyzing the relationship between the deformation of the loop and the displacement of the particles, the deformation behavior of fancy weft knitted stitches is simulated. Velocity-Verlet, a numerical integration, is introduced to simulate fancy weft knitted stitches, and stable results are obtained. The results show that these models and algorithm accurately display the deformation behavior of fancy weft knitted stitches, as demonstrated by qualitative comparisons to measure the deformations of actual samples, and the simulator can scale up to animations with complex dynamic motion.

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Development of vector algorithm using CUDA technology for three-dimensional retinal laser coagulation process modeling

Computer Optics ◽

10.18287/2412-6179-co-828 ◽

2021 ◽

Vol 45 (3) ◽

pp. 427-437

Author(s):

A.S. Shirokanev ◽

N.A. Andriyanov ◽

N.Y. Ilyasova

Keyword(s):

Mathematical Modeling ◽

Heat Conduction ◽

Complex Structure ◽

Three Dimensional ◽

Laser Coagulation ◽

Laser Exposure ◽

Three Dimensional Modeling ◽

Dimensional Modeling ◽

Coagulation Process ◽

Cuda Technology

For diabetic retinopathy treatment, laser coagulation is used in modern practice. During the laser surgery process, the parameters of laser exposure are selected manually by a doctor, which requires the doctor to have sufficient experience and knowledge to achieve a therapeutic effect. On the basis of mathematical modeling of the laser coagulation process, it is possible to estimate the crucial parameters without performing an operation. However, the retina has a rather complex structure, and when even low-cost numerical methods are used for modeling, it takes a long time to obtain a result. In this regard, the development of time-efficient algorithms for three-dimensional modeling is an urgent task, since the use of such algorithms will provide a compre-hensive study within a limited time. In this paper, we study the execution time of algorithms that implement various variations in the application of the splitting method and the finite difference method, adapted to the set problem of heat conduction. The study reveals the most efficient algorithm, which is then vectorized and implemented using the CUDA technology. The study was carried out using Intel Core i7-10875H and Nvidia RTX 2080 MAX Q and showed that an analog of the vector algorithm, focused on solving a multidimensional heat conduction problem, provides an acceleration of no more than 1.5 times compared to the sequential version. The developed vector-based algorithm, focused on the application of the sweep method in all directions of the three-dimensional problem, significantly reduces the time spent on copying into the memory of the video card and provides a 40-fold acceleration in comparison with the sequential three-dimensional modeling algorithm. On the basis of the same approach, a parallel algorithm of mathematical modeling was developed, which provided a 20-fold acceleration at full processor load.

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Mathematical Modeling and Design for Swing Cams of Constant Spring Hangers

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.631-632.1353 ◽

2013 ◽

Vol 631-632 ◽

pp. 1353-1356

Author(s):

Li Hua Chen

Keyword(s):

Mathematical Modeling ◽

Three Dimensional ◽

Mechanical Analysis ◽

Programming Environment ◽

Three Dimensional Modeling ◽

Dimensional Modeling ◽

Curve Model ◽

Working Principle ◽

Matlab Programming ◽

The Mathematical Model

Swing cams are important components of main-compensating constant spring hangers, therefore the design of cam curve is the key of constant spring hangers. The working principle of the constant hangers is studied .Based on the mechanical analysis of the constant spring hanger, the mathematical model of cam curve is established by means of coordinate transformation. Meanwhile, the cam curve model is programmed in the MATLAB programming environment, and then IBL document that consistent with the PRO/E is generated, after that the model is imported into PRO/E to achieve three-dimensional modeling of the cam. The method in this paper effectively and accurately solve the swing cam problems.

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