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Wyszukujesz frazę "spherical" wg kryterium: Temat


Tytuł:
Derivation of formulas in spherical trigonometry based on rotation matrix
Autorzy:
Hsieh, T. H.
Wang, S. Z.
Liu, W.
Zhao, J. S.
Chen, C. L.
Powiązania:
https://bibliotekanauki.pl/articles/116775.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Morski w Gdyni. Wydział Nawigacyjny
Tematy:
spherical trigonometry
rotation matrix
spherical triangle
formulas of spherical triangle
nautical mathematics
geometric method
spherical navigation
Astronavigation
Opis:
The formulas of spherical triangle, which are widely used to solve various navigation problems, are the important basic knowledge of nautical mathematics. Because the sine rules and the cosine rules for the sides are the fundamental formulas to derive the other spherical triangle formulas, they are also called the genetic codes of the spherical triangle formulas. In the teaching process, teachers usually use the geometric method to derive and prove these fundamental formulas. However, the derivation of geometric methods is complicated and difficult to understand. To improve the teaching process, this paper proposes the three-dimensional rotation method, which is based on conversion of two cartesian coordinate frames using the rotation matrices. This method can easily and simultaneously derive the sine rules, the cosine rules for the sides, and the five-part formulas (I), and is also helpful to solve different kinds of spherical navigation problems.
Źródło:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation; 2019, 13, 3; 553-558
2083-6473
2083-6481
Pojawia się w:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of fractional order theory of thermoelasticity to a 1D problem for a spherical shell
Autorzy:
Raslan, W. E.
Powiązania:
https://bibliotekanauki.pl/articles/949113.pdf
Data publikacji:
2016
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
fractional calculus
spherical shell
thermoelasticity
Opis:
In this work, we apply the fractional order theory of thermoelasticity to a one-dimensional problem of distribution of thermal stresses and temperature in a generalized thermoelastic medium in the form of a spherical shell subjected to sudden change in the temperature of its external boundary. Laplace transform techniques are used to solve the problem. Numerical results are computed and represented graphically for the temperature, displacement and stress distributions.
Źródło:
Journal of Theoretical and Applied Mechanics; 2016, 54, 1; 295-304
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
High kinetic energy dense plasma jet
Autorzy:
Voronin, A.
Gusev, V.
Petrov, Y.
Sakharov, N.
Abramova, K.
Hellblom, K.
Powiązania:
https://bibliotekanauki.pl/articles/147488.pdf
Data publikacji:
2006
Wydawca:
Instytut Chemii i Techniki Jądrowej
Tematy:
plasma gun
spherical tokamak
fuelling system
Opis:
Researches on the plasma jet source and injection of hydrogen plasma and neutral gas jets into the Globus-M spherical tokamak are presented. A novel source of dense plasma with high directed velocity is designed, constructed and investigated. This is a double stage system consisting of an intense source utilizing titanium-hydride grains for neutral gas production and a conventional pulsed coaxial accelerator. Optimization of the accelerator parameters, so as to achieve a maximum possible flow velocity with a limited discharge current and a reasonable length of the coaxial electrodes is performed. The calculations are compared with the experiment. A test bed is used for investigation of the intense plasma jet generated by a plasma gun. Plasma jet parameters, among them pressure distribution across the jet, flow velocity, plasma density etc., were measured. Plasma jets with densities of up to 1022 m 3, total numbers of accelerated particles (1 5) . 1019, and flow velocities of 50 100 km/s were successfully injected into the plasma column of the Globus-M tokamak. Interferometric and Thomson scattering measurements confirmed a deep jet penetration and a fast density rise (<0.5 ms) at all spatial points up to the radius r H 0.3a. The injection did not result in plasma degradation.
Źródło:
Nukleonika; 2006, 51, 1; 85-92
0029-5922
1508-5791
Pojawia się w:
Nukleonika
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dense plasma source development and jet injection in Globus-M*
Autorzy:
Voronin, , V. A.
Gusev, V. K.
Petrov, Y. V.
Mukhin, E. E.
Tolstyakov, S. Y.
Kurskiev, G. S.
Kochergin, M. M.
Hellblom, K. G.
Powiązania:
https://bibliotekanauki.pl/articles/147768.pdf
Data publikacji:
2008
Wydawca:
Instytut Chemii i Techniki Jądrowej
Tematy:
plasma gun
spherical tokamak
fuelling system
Opis:
Progress in the development of a plasma jet source and its utilization for injection of hydrogen plasma and neutral gas jets into the Globus-M spherical tokamak are presented. The latest version of the high kinetic energy gas and plasma jet source with titanium hydride grains is described. Reproducibility of the gas jet generation was increased due to automatic loading of fresh grains into the source before every shot. It allows producing stable gas release for many discharges. Impurity radiation intensity from the plasma jet was decreased by more than 100 times by preliminary processing titanium hydrate grains and developing a new filter. The result of special experiments on two colliding jets is discussed. It was confirmed that the plasma jet recombines into a gas jet after it escapes the source edge and has a kinetic energy higher than the hydrogen ionization potential. Hydrogen plasma jet with low impurity content has a density up to 2 × 1022 m-3, a total number of accelerated particles (1-5) × 1019 and a flow velocity of ~ 200 km/s. It was used as an instrument for density control in Globus-M. Jet injection into deuterium plasma core during current plateau phase led to fast density increase in all spatial points of the plasma column including the plasma central region. Such injection allowed density doubling in the tokamak plasma. The model predictions are consistent with the experimental observations of the density raise recorded by the interferometer and Thomson scattering.
Źródło:
Nukleonika; 2008, 53, 3; 103-109
0029-5922
1508-5791
Pojawia się w:
Nukleonika
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Invariant operators on function spaces on homogeneous trees
Autorzy:
Cowling, Michael
Meda, Stefano
Setti, Alberto
Powiązania:
https://bibliotekanauki.pl/articles/965849.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
spherical functions
harmonic analysis
homogeneous trees
Źródło:
Colloquium Mathematicum; 1999, 80, 1; 53-61
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Interaction of cylindrical shell and spherical body in ideal compressible medium
Oddziaływanie cylindrycznej powłoki z ciałem kulistym zanurzonym w idealnym ośrodku ściśliwym
Autorzy:
Dzyuba, V.
Powiązania:
https://bibliotekanauki.pl/articles/280435.pdf
Data publikacji:
2003
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
thin elastic circular cylindrical shell
vibrating spherical body
ideal compressible liquid
cylindrical and spherical wave functions
Opis:
This paper presents analytical and numerical investigations of the interaction between a cylindrical elastic shell surrounded by an unbounded ideal compressible liquid and containing other compressible liquid with a vibrating spherical inclusion in it. Only small amplitudes of the vibrations are considered, therefore the linear theory of elastic shells is used, and the behavior of liquids is described by the Helmholtz equations. Approach to the solution of such a problem is based on the re-expansion of partial solutions to the Helmholtz equation written in cylindrical coordinates by spherical functions and vice versa. The results obtained may be used for researching processes of vibro-displacement and localization, decontamination of liquid media, airing and dispersion, in bioacoustics, defectoscopy, cardiovascular medicine and in technologies for reconstruction of oil production in corked wells.
W pracy przedstawiono rezultaty badań analitycznych i numerycznych dotyczących problemu interakcji pomiędzy sprężystą powłoką cylindryczną w otoczeniu idealnego ośrodka ściśliwego, która wewnątrz zawiera inny ośrodek ściśliwy, a w nim drgający obiekt o kształcie kulistym. Analizowano małe drgania układu w ramach liniowej teorii sprężystości, a dynamikę ośrodków ściśliwych opisano równaniami Helmholtza. Rozwiązanie problemu otrzymano w drodze rozwinięcia rozwiązań cząstkowych równań Helmholtza wyrażonych we współrzędnych walcowych za pomocą funkcji sferycznych i na odwrót. Otrzymane wyniki mogą być przydatne w badaniach zagadnień transportu i pozycjonowania wibracyjnego, oczyszczania płynów, osuszania i rozpraszania, w bioakustyce, defektoskopii, medycynie układu krążenia, jak również w technologiach rekonstrukcji wydobycia ropy naftowej z zasypanych odwiertów.
Źródło:
Journal of Theoretical and Applied Mechanics; 2003, 41, 3; 473-486
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Chaotic vibration of an autoparametrical system with the spherical pendulum
Autorzy:
Sado, D.
Freundlich, J.
Bobrowska, A.
Powiązania:
https://bibliotekanauki.pl/articles/281820.pdf
Data publikacji:
2017
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
spherical pendulum
energy transfer
coupled oscillators
chaos
Opis:
In the paper, the dynamics of a three degree of freedom vibratory system with a spherical pendulum in the neighbourhood of internal and external resonance is considered. It has been assumed that the spherical pendulum is suspended to the main body which is then suspended to the element characterized by some elasticity and damping. The system is excited harmonically in the vertical direction. The equation of motion has been solved numerically. The influence of initial conditions on the behaviour of the spherical pendulum is investigated. In this type of the system, one mode of vibration may excite or damp another one, and for different kinds of periodic vibrations there may also appear chaotic vibrations. For characterization of an irregular chaotic response, time histories, bifurcation diagrams, power spectral densities, Poincar´e maps and the maximum Lyapunov exponents have been calculated.
Źródło:
Journal of Theoretical and Applied Mechanics; 2017, 55, 3; 779-786
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spherical functions and uniformly bounded representations of free groups
Autorzy:
Pytlik, Tadeusz
Powiązania:
https://bibliotekanauki.pl/articles/1293458.pdf
Data publikacji:
1991
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
free group
uniformly bounded representation
spherical functions
Opis:
We give a construction of an analytic series of uniformly bounded representations of a free group G, through the action of G on its Poisson boundary. These representations are irreducible and give as their coefficients all the spherical functions on G which tend to zero at infinity. The principal and the complementary series of unitary representations are included. We also prove that this construction and the other known constructions lead to equivalent representations.
Źródło:
Studia Mathematica; 1991, 100, 3; 237-250
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Uniform convergence of density estimators on spheres
Autorzy:
Bertrand-Retali, Monique
Ait-Hennani, Larbi
Powiązania:
https://bibliotekanauki.pl/articles/1340448.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
histogram estimator
kernel estimator
spherical cap estimator
Źródło:
Applicationes Mathematicae; 1993-1995, 22, 4; 427-446
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An extension to the Rayleigh–Gans formula: model of partially absorbing particles
Autorzy:
Komar, L
Kocifaj, M
Kohut, I
Powiązania:
https://bibliotekanauki.pl/articles/173693.pdf
Data publikacji:
2013
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
scattering
absorption
spherical particle
Rayleigh-Gans approximation
Opis:
The Rayleigh–Gans (R–G) approximation is widely employed in various optical models to simulate the optical response of transparent media. However, the R–G concept can only succeed if the refractive index of scatterers approaches that of surrounding medium. In addition, the sizes of scattering domains are assumed to be small enough. Because of these reasons, the validity of R–G solution is fairly limited. In this paper, a semi-analytical extension to the R–G theory is introduced, resulting in an approximate formula for efficiency factor for scattering Qsca. It is proven numerically that this formula works much better than that for traditional R–G model. The computations have been made on absorbing particles with sizes comparable to or smaller than the wavelength of an incident radiation. The conventional R–G theory is either inapplicable or at least inappropriate for such particles.
Źródło:
Optica Applicata; 2013, 43, 2; 313-323
0078-5466
1899-7015
Pojawia się w:
Optica Applicata
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the scattering of electromagnetic waves by bi-isotropic spherical shell
Rozpraszanie fal elektromagnetycznych za pomocą biizotropowej powłoki kulistej
Autorzy:
Shushkevich, G.
Shushkevich, S.
Kuts, A.
Powiązania:
https://bibliotekanauki.pl/articles/194801.pdf
Data publikacji:
2017
Wydawca:
Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
Tematy:
spherical shell
bi-isotropic spherical shell
electromagnetic wave
wave function
spherical vector
directional diagram of electric field
powłoka kulista
fala elektromagnetyczna
funkcja falowa
wektor kulisty
diagram kierunkowy pola elektrycznego
Opis:
In this article an analytical solution of the problem of scattering of electromagnetic waves on bi-isotropic spherical shell has been presented. Secondary electromagnetic fields are introduced as a superposition of spherical vector wave functions. The solution of the boundary problem is reduced to solving a system of linear algebraic equations for the coefficients which are included in the presentation of the secondary fields. The formula to calculate the directional diagram of electric field in the far field and numerical results for different values of parameters have been obtained. The results may find practical application in the development and design of electromagnetic screens.
W artykule przedstawiono analityczne rozwiązanie problemu rozpraszania fal elektromagnetycznych na biizotropowej powłoce kulistej. Wtórne fale elektromagnetyczne są przedstawiane jako superpozycja funkcji falowych wektora kulistego. Rozwiązanie problemu brzegowego zostało zredukowane do rozwiązania układu liniowych równań algebraicznych dla współczynników, które są zawarte w opisie pól wtórnych. Otrzymano wzór do obliczania diagramu kierunkowego pola elektrycznego w części pola oddalonej na dużą odległość od źródła promieniowania oraz otrzymano wyniki liczbowe dla różnych wartości parametrów. Wyniki mogą znaleźć praktyczne zastosowanie w rozwoju i projektowaniu ekranów elektromagnetycznych.
Źródło:
Zeszyty Naukowe Politechniki Rzeszowskiej. Mechanika; 2017, z. 89 [295], 1; 111-122
0209-2689
2300-5211
Pojawia się w:
Zeszyty Naukowe Politechniki Rzeszowskiej. Mechanika
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Study on the mechanical properties of a type of spherical bearing
Autorzy:
Yang, Yingfang
Zhang, Yan
Ju, Jinsan
Powiązania:
https://bibliotekanauki.pl/articles/2055061.pdf
Data publikacji:
2021
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
spherical bearing
finite element
mechanical properties
face contact
Opis:
The spherical bearing is widely used in highways, bridges and long-span structures. In order to study mechanical properties of a large-scale spherical bearing, a full-scale finite element model of the spherical bearing was established by using ABAQUS software, and the mechanical properties of the spherical bearing under four working conditions were simulated respectively when the upper bearing plate had different inclination angles. The ultimate bearing capacity of the spherical bearing under vertical tension was analyzed emphatically. The research results show that, in practical applications, the change in bearing capacity caused by the inclination angle of the upper bearing plate should be considered, and the wedge-shaped part should be strengthened.
Źródło:
Journal of Theoretical and Applied Mechanics; 2021, 59, 4; 539--550
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Remarks on retracting balls on spherical caps in \(c_{0}\), \(c\), \(l^{\infty }\) spaces
Autorzy:
Goebel, Kazimierz
Powiązania:
https://bibliotekanauki.pl/articles/2078971.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Retraction
Lipschitz constant
radial projection
truncation
spherical cap
Opis:
For any infinite dimensional Banach space there exists a lipschitzian retraction of the closed unit ball B onto the unit sphere S. Lipschitz constants for such retractions are, in general, only roughly estimated. The paper is illustrative. It contains remarks, illustrations and estimates concerning optimal retractions onto spherical caps for sequence spaces with the uniform norm.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2020, 74, 1; 45-55
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fabrication of Nano- and Micron- Sized Spheres of CL-20 by Electrospray
Autorzy:
Yan, S.
Li, M.
Sun, L.
Jiao, Q.
Huang, R.
Powiązania:
https://bibliotekanauki.pl/articles/358652.pdf
Data publikacji:
2018
Wydawca:
Sieć Badawcza Łukasiewicz - Instytut Przemysłu Organicznego
Tematy:
energetic materials
explosives
CL-20
electrospray
spherical particles
Opis:
The application of hexanitrohexaazaisowurtzitane (CL-20) in energetic materials will be expanded by its use as superfine particles. A method of fabricating nano- and micron-sized spheres of CL-20 by using electrospray is discussed. The effects of the precursor solution and the experimental conditions on the morphology and the crystal phase of the CL-20 particles are introduced. A variety of solvents was used to dissolve raw CL-20 for the preparation of the precursor solution with different CL-20 contents. The conductivity and viscosity of the precursor solutions were tested before the electrospray process. The electrostatic parameters were adjusted by changing the voltage and the distance between the nozzle and the plate. The morphology, crystal phase, mechanical sensitivity, density, and thermal stability of the raw CL-20 and the as-sprayed CL-20 samples were determined using scanning electron microscopy, X-ray diffraction, and differential scanning calorimetry (DSC). Furthermore, the density and the mechanical sensitivity were tested for the raw and the as-sprayed CL-20. DSC tests were conducted to compare the thermal stability and reactivity of the samples.
Źródło:
Central European Journal of Energetic Materials; 2018, 15, 4; 572-589
1733-7178
Pojawia się w:
Central European Journal of Energetic Materials
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A systematic approach for solving the great circle track problems based on vector algebra
Autorzy:
Chen, C. L.
Powiązania:
https://bibliotekanauki.pl/articles/260175.pdf
Data publikacji:
2016
Wydawca:
Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
Tematy:
great circle
vector algebra
multiple products
spherical trigonometry
Opis:
A systematic approach, based on multiple products of the vector algebra (S-VA), is proposed to derive the spherical triangle formulae for solving the great circle track (GCT) problems. Because the mathematical properties of the geometry and algebra are both embedded in the S-VA approach, derivations of the spherical triangle formulae become more understandable and more straightforward as compared with those approaches which use the complex linear combination of a vector basis. In addition, the S-VA approach can handle all given initial conditions for solving the GCT problems simpler, clearer and avoid redundant formulae existing in the conventional approaches. With the technique of transforming the Earth coordinates system of latitudes and longitudes into the Cartesian one and adopting the relative longitude concept, the concise governing equations of the S-VA approach can be easily and directly derived. Owing to the advantage of the S-VA approach, it makes the practical navigator quickly adjust to solve the GCT problems. Based on the S-VA approach, a program namely GCTPro_VA is developed for friendly use of the navigator. Several validation examples are provided to show the S-VA approach is simple and versatile to solve the GCT problems.
Źródło:
Polish Maritime Research; 2016, 2; 3-13
1233-2585
Pojawia się w:
Polish Maritime Research
Dostawca treści:
Biblioteka Nauki
Artykuł

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