Form Of Parallelogram Research Articles

Optimization of mass separators

The optimization of separator masses in this paper is based on the realization of the linearity of the system under study and the consequences of Liouville's theorem. The properties of several mass separators with an ion energy of 30 keV and a beam emittance of 4 mm·mrad are considered. Focusing is provided by an aberration-free lens and a magnetic corrector. Phase diagrams along the beam path are in the form of parallelograms, which indicates the absence of geometric aberrations. For each of the separators, the resolution calculated in the linear approximation coincides with the simulation results. It is shown that a mass separator based on a magnet with a rotation angle of 54.7o has a resolution of about 5000, and a separator based on two magnets with a rotation angle of 45o and 90o, respectively, has a resolution of 14 000-15 000. Keywords: ion optics, emittance, lenses, phase diagram, aberrations.

Виготовлення тракту охолодження вдосконаленої конструкції для камери згоряння рідинного ракетного двигуна за допомогою адитивних технологій

The creation of complex structural elements of aircraft using additive technologies is promising and is widely used since such elements have many design and technological advantages over the collection of individual finished parts. However, it requires the solution of many scientific and technical problems to obtain products of high accuracy and density, develop a technological process, work out modes, and sometimes develop a new design of products. When the angles of inclination of the inclined surfaces are more than 45 °, in the manufacture of parts using the technology of selective laser melting, special conditions arise that cause some restrictions. Since the tracks that form the bottom layer (down-skin) of the inclined surface largely lie not on the previous layer of the metal part, but on the powder surrounding the part, the melt pool "falls through" into the powder, the melt pool breaks through, disrupting the track continuity. As a consequence, the bottom layer (down-skin) of the formed inclined at an angle of more than 45 °, and the horizontal surface has a high roughness. We studied samples of elements of the cooling path with an improved design (the shape of the channels in the form of parallelograms with an acute angle of 45 °) and with the original design (the shape of the channels in the form of rectangles) with a change in the angle of inclination of the channels relative to the Z-axis. According to the results of visual-optical analysis and determination of the down-skin roughness, it was found that at tilt angles to the Z-axis ≥75 ° with the original design of the channels, the transverse surface of the channel may not even form or have significant deviations from the specified geometry, and with the improved design of the channels, the roughness of the down-skin is only slightly increased. From the analysis of the change in roughness at tilt angles of the channels relative to the Z-axis in the range of 40…60 °, it was found that samples with an improved channel design have similar roughness values (5…6.5 μm), and for samples with an original channel design, the roughness changed significantly (6…22 μm). A model was developed and a combustion chamber cooling path was manufactured with channels of an improved design and an angle of inclination of the channels of 74 °. The possibility of manufacturing a combustion chamber cooling duct with an angle of inclination of the channels relative to the Z-axis using the technology of selective laser melting at a high metal density and low surface roughness of the inner channels is shown.

Оптимизация масс-сепараторов

The optimization of separator masses in this paper is based on the realization of the linearity of the system under study and the consequences of Liouville's theorem. The properties of several mass separators with an ion energy of 30 keV and a beam emittance of 4 mm*mrad are considered. Focusing is provided by an aberration-free lens and a magnetic corrector. Phase diagrams along the beam path are in the form of parallelograms, which indicates the absence of geometric aberrations. For each of the separators, the resolution calculated in the linear approximation coincides with the simulation results. It is shown that a mass separator based on a magnet with a rotation angle of 54.70 has a resolution of about 5000, and a separator based on two magnets with a rotation angle of 450 and 900, respectively, has a resolution of 14000-15000.

Optimization of Parking Lot in the Forms of Parallelogram and Right Triangle for Cars and Motorbikes

Parking lots are elements that affect the transportation system. Placement of the wrong parking lot, such as on a roadside, causes congestion. One way to overcome this is to provide safe and efficient parking. This article discusses the optimization of parking lots in the form of parallelograms and right triangles for cars and motorbikes. The shape of the parallelogram land is formed in two ways namely directly and separately, the landform separately consists of the form of two right triangles and rectangles. The initial step in this discussion is to make a design on the parking lot and assumptions that correspond to the shape of the land. The design of parking lots in this article consists of three designs, namely land in the form of parallelograms, right triangles and rectangles. Furthermore, a mathematical model was built for each land design. The method used for the calculation of mathematical models for each design is the linear programming method and is calculated using LINGO software. The results obtained are the optimum number of car and motorbikes vehicles for each land design. In this article, the optimal results for car vehicles with land in the form of parallelograms formed directly are 1110 vehicles, furthermore the form of parallelograms formed separately are 1295 vehicles. These results indicate that the two forms are more optimal than the separated forms. Then, for the form of a right triangle gives optimal results 491 car vehicles. The next vehicle is a motorbikes, the optimal result for motorbikes with land in the form of a parallelogram that is formed directly is 11969 vehicles, then the shape of the parallelogram is formed separately there are 15440 vehicles. Then, to form a right triangle give optimal results 6163 motorbikes vehicles.