scholarly journals Grid Based on the Sierpinski Fractal and an Assessment of the Prospects for its Application in Aircraft Parts

Author(s):  
Leviin Zhikharev

Modern geometric methods open up prospects for improving the shape and structure of parts. Such improvement can pursue the goals of increasing the strength with constant material consumption, or reducing the mass when it is not necessary to increase the strength. The meaning of geometric methods is to create a part shape the stresses arising in the part material under the action of applied loads are distributed most evenly. Such methods include the use of fractal geometry. This article presents the results of a study of a fractal lattice created on the basis of the Sierpinski triangle. Computer simulation in the SolidWorks, as well as strength studies of parts produced using additive technologies, allowed us to confirm a multiple increase in the strength of the fractal lattice with an increase in the number of fractal iterations. One of the most promising areas of application of fractal structures may be aviation technology. In this area, weight reduction is needful, and the complex shape of the parts is realized with the help of expensive production methods. For this reason, a number of experiments were conducted within the framework of the study, the purpose of which was to test the feasibility of using fractal gratings to reduce the weight of aircraft parts, using the example of the fork of the front landing gear of the combat training aircraft Yak-130.

2021 ◽  
Vol 316 ◽  
pp. 564-569
Author(s):  
P.A. Lykov ◽  
L.A. Glebov

Selective laser melting (SLM) is one of the additive manufacturing technologies that allows us to produce complex shape metallic objects from powder feedstock. Al-alloys are very promising materials in selective laser melting. In this paper, atomized metal powders of various aluminum alloys are investigated: 1) deformable alloys АК4, АК6; 2) cast alloys АК9ph, АК12; 3) deformable hardened alloy D16. As a part of the work, the particle shape, particle size distribution and technical characteristics of the powders were investigated, and also the compliance of materials with the requirements of additive technologies (SLM) was determined.


2012 ◽  
Vol 2012 ◽  
pp. 1-21 ◽  
Author(s):  
Carlo Cattani ◽  
Ettore Laserra ◽  
Ivana Bochicchio

A fractal lattice is defined by iterative maps on a simplex. In particular, Sierpinski gasket and von Koch flake are explicitly obtained by simplex transformations.


2021 ◽  
Vol 74 (74) ◽  
Author(s):  
Gabriele Pontillo ◽  
Carla Langella

"Since its appearance in the world of design, 3D printing has been acclaimed as a new opportunity to free design thinking from the constraints imposed by traditional production processes. Over the past decade, additive systems have been applied in a variety of cultural and production contexts, crossing the boundaries of industry and beyond the semi-artisan dimension that has long characterized them. If 3D printing is now recognized as one of the production methods of the future, it is necessary to question the next prospects and especially the future of the relationship between design and additive technologies. This paper intends to propose the scenario of the use of additive technologies of direct printing on fabrics as a new frontier of design and production that allows the development of changeable, flexible and composite artifacts increasingly related to the multi-functionality of nature and the human body and increasingly adaptable to the complexity of the needs of contemporary living."


Author(s):  
N. V. Bekrenev ◽  
V. M. Makarova ◽  
S. P. Pavlov

Objectives The use of additive technologies is one of the promising areas for improving the production of products for various purposes in the transition to a digital economy. Method. Layered construction of objects of complex shape in accordance with the developed solid-state model from materials with different mechanical and thermal properties allows directionally controlling the distribution of various components in the volume of the composite material and forming topological structures that provide a rational balance between various performance characteristics and reliability of the product. Result. Based on experimental studies, it has been established that reinforcing topological reinforcement of 3D printing objects made from ABS plastic with a composite consisting of carbon fibers and ED-20 epoxy resin, along with an increase in flexural strength and tensile strength, contributes to an increase in thermal conductivity of the material by more than 18% and thermal diffusivity - by 20%. A computer simulation of elementary cells of a composite material consisting of a polymer matrix, carbon fiber and special core inclusions with high thermal conductivity was performed, which made it possible to further increase thermal conductivity depending on the relative fiber diameter and the percentage of the additional component in an amount from 46 to 75%. Conclusion It is shown that additive technologies are an effective tool for creating universal topologies that allow technologically managing a combination of both mechanical and thermophysical properties of structural materials by determining the rational relative position of their components depending on the purpose and level of achievement of the required characteristics. 


2021 ◽  
Vol 23 (4) ◽  
pp. 97-110
Author(s):  
Andrey N. Bespalov ◽  
Alexander L. Buzov ◽  
Dmitry S. Klyuev ◽  
Anatoly M. Neshcheret

This article is devoted to the study of the possibilities of increasing spectral efficiency in MIMO systems by using antennas with substrates of biisotropic and bianisotropic chiral metamaterials and various types of fractal emitters, in particular, fractal structures in the form of a Sierpinski triangle, Koch and Gilbert curves, as well as a dipole triangular antenna of complex configuration FRM. The spectral efficiency was calculated by using one of the variations of the Shannon formula, which includes a complete matrix of Z-parameters. In turn, this matrix was determined using the software package of electrodynamic modeling. It is shown that the use of such antennas with the fractal geometry of the emitters located on chiral substrates reduces the mutual influence between the emitters, and, in turn, increases the spectral efficiency in several frequency ranges compared to traditional solutions.


2021 ◽  
Vol 13 (S) ◽  
pp. 21-27
Author(s):  
Oksana A. BYTSENKO ◽  
Natalya A. BESSONOVA ◽  
Emil E. DZHAFAROV ◽  
Victor V. TISHKOV ◽  
Denis A. GNEVASHEV

Today, technological plugs designed to protect the internal cavities of parts and assembly units are manufactured using such production methods as casting or stamping. At the same time, their subsequent processing is a time-consuming process. Additive technologies can save material, save time and reduce expenses. This study considers the possibility of manufacturing technological plugs for engine box and oil system using additive technologies. The cover plugs were printed using the Fusion Deposition Modeling (FDM) method on a Russian-made ZENIT printer. PLA plastic was chosen for 3D printing. The plug models were optimised, which allowed correcting and reducing the estimated printing time. In particular, some plugs were made assemblable, which helped to avoid a large number of printing supports. The production of technological plugs using additive technology allows reducing the cost of the finished product, the weight of the plugs and the estimated time of their production.


2016 ◽  
Vol 870 ◽  
pp. 314-317 ◽  
Author(s):  
P.A. Lykov ◽  
S.B. Sapozhnikov ◽  
R.M. Baitimerov

The technology of composite micropowders’ obtaining that allows the production of a wide range of composite powders suitable for use in additive technologies is proposed. The technology includes modification of the metal powder surface with the mechanochemical treatment. The production modes for the AlSi12-Al2O3 composite powder are determined.


1976 ◽  
Vol 32 ◽  
pp. 613-622
Author(s):  
I.A. Aslanov ◽  
Yu.S. Rustamov

SummaryMeasurements of the radial velocities and magnetic field strength of β CrB were carried out. It is shown that there is a variability with the rotation period different for various elements. The curve of the magnetic field variation measured from lines of 5 different elements: FeI, CrI, CrII, TiII, ScII and CaI has a complex shape specific for each element. This may be due to the presence of magnetic spots on the stellar surface. A comparison with the radial velocity curves suggests the presence of a least 4 spots of Ti and Cr coinciding with magnetic spots. A change of the magnetic field with optical depth is shown. The curve of the Heffvariation with the rotation period is given. A possibility of secular variations of the magnetic field is shown.


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