Determination of the geometric shape which best fits an architectural arch within each of the conical curve types and hyperbolic-cosine curve types: The case of Palau Güell by Antoni Gaudí

2017 ◽  
Vol 25 ◽  
pp. 56-64 ◽  
Author(s):  
Albert Samper ◽  
Genaro González ◽  
Blas Herrera
Keyword(s):  
Geometric Shape ◽  
Cosine Curve ◽  
Hyperbolic Cosine ◽  
Antoni Gaudí

scholarly journals A thermo-mechanical machining method for improving the accuracy and stability of the geometric shape of long low-rigidity shafts

2021 ◽  
Author(s):  
Antoni Świć ◽  
Arkadiusz Gola ◽  
Łukasz Sobaszek ◽  
Natalia Šmidová
Keyword(s):  
Heat Treatment ◽  
Cross Section ◽  
Mechanical Treatment ◽  
Geometric Shape ◽  
Different Dimensions ◽  
Thermo Mechanical Treatment ◽  
Mechanical Machining ◽  
Simultaneous Heat ◽  
Accuracy And Stability

AbstractThe article presents a new thermo-mechanical machining method for the manufacture of long low-rigidity shafts which combines straightening and heat treatment operations. A fixture for thermo-mechanical treatment of long low-rigidity shafts was designed and used in tests which involved axial straightening of shafts combined with a quenching operation (performed to increase the corrosion resistance of the steel used as stock material). The study showed that an analysis of the initial deflections of semi-finished shafts of different dimensions and determination of the maximum corrective deflection in the device could be used as a basis for performing axial straightening of shaft workpieces with simultaneous heat treatment and correction of the initial deflection of the workpiece. The deflection is corrected by stretching the fibers of the stock material, at any cross-section of the shaft, up to the yield point and generating residual stresses symmetrical to the axis of the workpiece. These processes allow to increase the accuracy and stability of the geometric shape of the shaft.

scholarly journals Experimental determination of the induced activity in activation detectors of a complex geometric shape

2020 ◽  
Vol 2020 (2) ◽  
pp. 156-167
Author(s):  
Renat Faridovich Ibragimov ◽  
Yakov Aleksandrovich Kokorev ◽  
Anastasiya Pavlovna Denisenko ◽  
Elena Vasilevna Ryabeva ◽  
Valery Trofimovich Samosadny ◽  
...  
Keyword(s):  
Experimental Determination ◽  
Geometric Shape ◽  
Complex Geometric Shape

scholarly journals DETERMINATION OF AN APPROPRIATE PROJECTION SYSTEM FOR FOREST AREAS IN TURKEY

2020 ◽  
Vol 46 (2) ◽  
pp. 41-47
Author(s):  
Faruk Yildirim ◽  
Fatih Kadi ◽  
Adem Kurtipek
Keyword(s):  
Geometric Shape ◽  
Topographic Maps ◽  
Projection System ◽  
The Real ◽  
Gis Applications ◽  
Area Reduction ◽  
The Earth ◽  
Area Preserving ◽  
Real Area

Geometrical surfaces such as sphere and ellipsoid are considered as reference surfaces since there is no geometric shape that perfectly represents the earth when translating the earth into a map plane. Hence, on 3D reference surfaces, it is almost impossible to perfectly preserve the angle, direction and area properties and transfer them to a map plane without any deformations. The scaled topographic maps produced in our country under provision of map production regulations are conformal projections that do not preserve area properties but angle and shape properties. Area values calculated by projection coordinates cannot be considered the exact area values therefore, an area reduction is needed. Area values calculated by ignoring this situation in GIS based software do not represent the accurate area values on reference surfaces. The aim of this study is to determine the best area preserving projection for GIS applications in which area values are important. In this study, the real area values of 25 large-extent forest parcels are determined by employing the Danielsen method with geographical coordinates on ellipsoid surface. These parcels are also calculated by using the area-preserving projections available in ArcGIS software and are compared to their real area values.

scholarly journals Technological assurance of the quality of processing of products from aluminum alloys with a complex geometric shape using magnetic abrasive processing

2021 ◽  
Vol 326 ◽  
pp. 00033
Author(s):  
Dmitriy Maksimov ◽  
Radmila Shcheglova ◽  
Dmitriy Klochkov
Keyword(s):  
Surface Roughness ◽  
Aluminum Alloys ◽  
Theoretical Study ◽  
Geometric Shape ◽  
Exponential Dependence ◽  
Corrosion Resistant ◽  
Complex Geometric Shape ◽  
Complex Shapes

In the presented article, the issue of the implementation of magnetic abrasive processing is considered in order to ensure the quality of surfaces of complex shapes of parts made of corrosion-resistant aluminum alloys. The implementation was carried out through theoretical and experimental research. In a theoretical study, the features of processing corrosion-resistant aluminum alloys, existing and possible schemes for magnetic-abrasive processing of surfaces of complex geometric shapes, including a combination of various working movements of the workpiece and pole pieces, are considered. In an experimental study, the dependence of the quality of the processed surface (roughness) on the size of the working gap between the workpiece and the working pole was determined. The result of the research is the determination of the optimal treatment schemes for surfaces with a complex geometric shape, as well as the derived exponential dependence of the change in surface roughness on the size of the working gap.

scholarly journals DETERMINATION OF THE GEOMETRIC FORM OF SCATTERING PARTICLES INSIDE THE POLYMERIC MATRIX

2020 ◽  
pp. 85-95
Author(s):  
Павел Михайлович Пахомов ◽  
Светлана Дмитриевна Хижняк ◽  
Алена Игорьевна Маркова ◽  
Вера Евгеньевна Ситникова
Keyword(s):  
Light Intensity ◽  
Polymer Matrix ◽  
Scattered Light ◽  
Spectroscopic Method ◽  
Polymeric Materials ◽  
Geometric Shape ◽  
Scattered Light Intensity ◽  
Geometric Form ◽  
Filler Particles

В работе предложен новый спектроскопический метод оценки анизометрии и ориентации рассевающих частиц (пор или частиц наполнителя) внутри полимерной матрицы путем построения угловых зависимостей интенсивности рассеянного света. На примере полимерных материалов с различной геометрической формой рассеивающих частиц (частицы наполнителя и поры сферической и вытянутой форм) построены угловые зависимости интенсивности рассеянного света, отражающие геометрическую форму усредненной рассеивающей частицы. A new spectroscopic method is proposed for assessing the anisometry and orientation of scattering particles (pores or filler particles) inside a polymer matrix by constructing angular dependences of the scattered light intensity. On the example of polymeric materials with different geometric shapes of scattering particles (filler particles and pores of spherical and elongated shapes), angular dependences of the scattered light intensity are constructed, which reflect the geometric shape of the averaged scattering particle.

scholarly journals DETERMINATION OF DEFECTS SIZES AND THEIR POSITION DURING ULTRASONIC CONTROL BY METHODS OF MATHEMATICAL AND COMPUTER SIMULATION

2020 ◽  
Vol 42 (3) ◽  
pp. 93-98 ◽  
Author(s):  
V.P. Babak ◽  
I.V. Bogachev ◽  
V.V. Khaidurov
Keyword(s):  
Average Frequency ◽  
Geometric Shape ◽  
Computational Experiments ◽  
Sound Waves ◽  
Metal Structures ◽  
Modern Computer ◽  
Mathematical And Computer Simulation ◽  
Homogeneous Wave ◽  
Simple Geometric Shape

The use of sound waves to study the integrity of various metal structures is the most relevant method. The relevance is traced, in particular, in the ease of conducting such experiments, as well as its cheapness. The design of various parts requires the use of modern computer technology, which, using a mathematical apparatus that describes the process, allows you to determine the actual characteristics of the material to determine durability. This approach makes it possible to effectively create design solutions in order to create new parts and upgrade existing materials to extend their service life. The purpose of this work is to build mathematical models of homogeneous wave processes and their analysis in the form of computational experiments to control the passage of sound signals through the surface of the studied materials of objects. This approach is used to determine the influence of geometric parameters of defects in the form of cracks through which the signal passes, on its characteristics, which it describes after passing through these defects to the signal receiver, in particular, is the amplitude and frequency. For computational experiments, a point exciter of harmonic oscillations and a point receiver were chosen, which are located on different sides relative to the defect of a simple geometric shape. It should be noted that even minor defects affect the amplitude of the received signal, which passed through such defects. When a signal passes through defects of a simple geometric shape, the amplitude of such a signal decreases by 5–8 times and the average frequency decreases by 2–3 times.

Determination of Geometric Shape of the Molecular Surface

2012 ◽  
Vol 548 ◽  
pp. 181-185 ◽  
Author(s):  
Jing Qiao Zhang ◽  
Wen Luo
Keyword(s):  
Gaussian Curvature ◽  
Active Site ◽  
Active Sites ◽  
Geometric Shape ◽  
New Method ◽  
Molecular Surface ◽  
Mesh Model ◽  
Triangular Mesh Model ◽  
New Type

A new type of compound can be got by docking the active site of acceptor and the active site of ligand. In general, active sites of the molecule are often located in the concave-convex regions. In this paper, we propose a new method which combines discrete Gaussian curvature with normal to determine geometric shape of the molecular surface of protein. Firstly, we compute the normal and Gaussian curvature of all vertices of the triangular mesh model that present a molecular surface. Then we choose a certain number of vertices ac-cording to Gaussian curvature of each vertex on the mesh. By doing so, the shape of the region consisting of those vertices is determined, that is the region is concave or convex.

scholarly journals Some sharp circular and hyperbolic bounds of exp(-x2) with applications

2020 ◽  
Vol 14 (1) ◽  
pp. 239-254
Author(s):  
Yogesh Bagul ◽  
Christophe Chesneau
Keyword(s):  
Probability Theory ◽  
Simple Proof ◽  
Type A ◽  
Upper Bounds ◽  
Lower And Upper Bounds ◽  
Sharp Bounds ◽  
Error Functions ◽  
Hyperbolic Cosine ◽  
Truncated Gaussian

This article is devoted to the determination of sharp lower and upper bounds for exp(-x2) over the interval (-?,?). The bounds are of the type [a+f(x)/a+1]? , where f(x) denotes either cosine or hyperbolic cosine. The results are then used to obtain and refine some known Cusa-Huygens type inequalities. In particular, a new simple proof of Cusa-Huygens type inequalities is presented as an application. For other interesting applications of the main results, sharp bounds of the truncated Gaussian sine integral and error functions are established. They can be useful in probability theory.

Galactic orbits of stars

1966 ◽  
Vol 25 ◽  
pp. 93-97
Author(s):  
Richard Woolley
Keyword(s):  
Globular Cluster ◽  
Potential Field ◽  
High Velocity ◽  
Velocity Vector ◽  
Variable Stars ◽  
The Sun ◽  
Proper Motions ◽  
Rr Lyrae ◽  
The Galaxy

It is now possible to determine proper motions of high-velocity objects in such a way as to obtain with some accuracy the velocity vector relevant to the Sun. If a potential field of the Galaxy is assumed, one can compute an actual orbit. A determination of the velocity of the globular clusterωCentauri has recently been completed at Greenwich, and it is found that the orbit is strongly retrograde in the Galaxy. Similar calculations may be made, though with less certainty, in the case of RR Lyrae variable stars.

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