Temat: gradient - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: The gradient and the divergence for vector-valued forms
Autorzy:: Klekot, Agnieszka
Pierzchalski, Antoni
Powiązania:: https://bibliotekanauki.pl/articles/2202058.pdf
Data publikacji:: 2023
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: vector forms
gradient
divergence
Laplacians on vector forms
Weitzenbock type formula
postać wektorowa
dywergencja
Opis:: On a Riemannian manifold, two differential operators: the gradient and the divergence are defined and investigated in the bundle of alternating differential forms of any degree with values in a vector bundle. Several algebraic, analytic and geometric properties of the two operators are derived. The vector character of the gradient on forms turns out to be a source of possible applications.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 1; 31--45
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Temperature effect on frequencies of a tapered triangular plate
Autorzy:: Khodiya, Akash
Sharma, Amit
Powiązania:: https://bibliotekanauki.pl/articles/1839862.pdf
Data publikacji:: 2021
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: temperature effect
triangle plate
frequency
vibration
częstotliwość
wibracja
metoda Rayleigha-Ritza
gradient termiczny
efekt temperaturowy
Opis:: The two dimensional temperature effect on the vibration is computed for the first time for a clamped triangular plate with two dimensional thickness. In the study we focused on isosceles, right-angled and scalene triangles only. The first three modes of vibration are computed on different variations of plate parameters using the Rayleigh-Ritz method. The objective of the study is to reduce the frequency of the plates. A comparative study of the frequencies with other available results well presents the objective of the study.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2021, 20, 1; 37-48
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Some differential operators in the symmetric bundle
Autorzy:: Kimaczyńska, A.
Powiązania:: https://bibliotekanauki.pl/articles/122502.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: symmetric tensors
symmetric derivative
gradient
divergence
Weitzenböck type formula
operator różnicowy
tensory symetryczne
pochodna symetryczna
Opis:: Some natural differential operators in the bundles of symmetric tensors and symmetric tensors with values in the tangent bundle are investigated. Applications in geometry, physics and tomography are also reviewed.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 3; 27-36
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: The use of mathematical and computer modelling in solving the problems or rail transport expert examination
Autorzy:: Kuzin, N.
Meshcheryakova, T.
Kuzin, O.
Kurileva, E.
Gordinskaya, N.
Powiązania:: https://bibliotekanauki.pl/articles/122500.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: forensic examination
inverse problems of fracture mechanics
functionally gradient materials
numerical algorithms
materiały gradientowe
algorytmy numeryczne
mechanika pękania
Opis:: The analysis of the current state of expert research of the failure of structural elements of railway rolling stock is presented. On the basis of the approaches of mechanics, mathematical and computer modeling the technique of establishing a mechanism for softening of parts and units of friction in the operation of rail transport is suggested.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 4; 93-98
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Lengthwise finning surface as the method of influence on the flow separation in diffusers
Autorzy:: Zaryankin, A.
Rogalev, A.
Lisin, E.
Khudyakova, V.
Powiązania:: https://bibliotekanauki.pl/articles/122686.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: diffuser
longitudinal pressure gradient
friction tension
velocity
finned surface
boundary layer
inertial force
flow separation
dyfuzor
warstwa graniczna
oddzielenie przepływu
siła tarcia
wzorzec przepływu
Opis:: The paper deals with the analysis of power factors acting within the boundary layer for different types of flow: convergent, gradientless and diffuser. Based on the considered formation mechanism of boundary layer separation, a hypothesis about the possible influence on structure and character of a separated flow by changing the gradient of the tangential stresses in the boundary layer was proposed. This impact is proposed to realize by means of the longitudinal finning of diffuser. Verification of the concept is performed on the basis of numerical flow investigation and available experimental data.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 1; 127-138
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Quartic non-polynomial spline solution for solving two-point boundary value problems by using Conjugate Gradient iterative method
Autorzy:: Justine, H.
Chew, J. V. L.
Sulaiman, J.
Powiązania:: https://bibliotekanauki.pl/articles/122546.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: two-point boundary value problems
quartic non-polynomial spline
Conjugate Gradient
Successive Over-Relaxation
Gauss-Seidel
dwupunktowe problemy brzegowe
metoda gradientu sprzężonego
metoda Gaussa-Seidela
metoda iteracyjna
Opis:: Solving two-point boundary value problems has become a scope of interest among many researchers due to its significant contributions in the field of science, engineering, and economics which is evidently apparent in many previous literary publications. This present paper aims to discretize the two-point boundary value problems by using a quartic non-polynomial spline before finally solving them iteratively with Conjugate Gradient (CG) method. Then, the performances of the proposed approach in terms of iteration number, execution time and maximum absolute error are compared with Gauss-Seidel (GS) and Successive Over-Relaxation (SOR) iterative methods. Based on the performances analysis, the two-point boundary value problems are found to have the most favorable results when solved using CG compared to GS and SOR methods.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 1; 41-50
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: Elastic solutions based on the Mori-Tanaka scheme for pressurized functionally graded cylinder
Autorzy:: Eker, Mehmet
Yarımpabuç, Durmu
Yıldırım, Ali
Çelebi, Kerimcan
Powiązania:: https://bibliotekanauki.pl/articles/1839733.pdf
Data publikacji:: 2020
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: FGM
functional gradient material
pseudospectral Chebyshev method
Mori-Tanaka homogenization
cylindrical pressure vessel
materiał funkcjonalnie gradientowy
cylindryczny zbiornik ciśnieniowy
pseudospektralna metoda Czebyszewa
metoda Czebyszewa
homogenizacja Mori-Tanaka
Opis:: In this paper, an elastic analysis of a thick-walled functionally graded cylinder subjected to internal pressure is examined. Material properties for the isotropic material are estimated to obey the Mori-Tanaka homogenization scheme through the thickness. The resulting two-point irregular boundary value problem is solved by the pseudospectral Chebyshev method that converts the boundary value problem to the system of equations, which can be solved by any appropriate decomposition method. Benchmark solutions are used to validate the method. The effect of the arbitrarily chosen volume fraction index is demonstrated for stress and displacement distributions. The effective stresses for different inner radius and volume fraction index are also discussed.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 4; 57-68
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

Tytuł:: Elastic solutions based on the Mori-Tanaka scheme for pressurized functionally graded cylinder
Autorzy:: Eker, Mehmet
Yarımpabuç, Durmu
Yıldırım, Ali
Çelebi, Kerimcan
Powiązania:: https://bibliotekanauki.pl/articles/1839749.pdf
Data publikacji:: 2020
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: FGM
functional gradient material
pseudospectral Chebyshev method
Mori-Tanaka homogenization
cylindrical pressure vessel
materiał funkcjonalnie gradientowy
cylindryczny zbiornik ciśnieniowy
pseudospektralna metoda Czebyszewa
metoda Czebyszewa
homogenizacja Mori-Tanaka
Opis:: In this paper, an elastic analysis of a thick-walled functionally graded cylinder subjected to internal pressure is examined. Material properties for the isotropic material are estimated to obey the Mori-Tanaka homogenization scheme through the thickness. The resulting two-point irregular boundary value problem is solved by the pseudospectral Chebyshev method that converts the boundary value problem to the system of equations, which can be solved by any appropriate decomposition method. Benchmark solutions are used to validate the method. The effect of the arbitrarily chosen volume fraction index is demonstrated for stress and displacement distributions. The effective stresses for different inner radius and volume fraction index are also discussed.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 4; 57-68
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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