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Wyświetlanie 1-15 z 47
Tytuł:
Analytical solution for certain nonlinear electromagnetic field problems
Autorzy:
Sowa, M.
Spałek, D.
Powiązania:
https://bibliotekanauki.pl/articles/377744.pdf
Data publikacji:
2012
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
electromagnetic field
analytical solution
nonlinear analysis
Opis:
The paper presents a nonlinear electromagnetic field problem with cylindrical symmetry. A time-sinusoidal boundary condition is applied, which yields non-sinusoidal steady-state fields. The problem is brought forth to test an analytical-numerical method based on the method of small parameter. A distinctive feature of this method is that it requires symbolic calculations to be performed. These allow to reduce the problem to a system of nonlinear equations. In order to check the accuracy of the solution, several error criteria are introduced. Moreover, the power balance of a nonlinear conductive region is verified.
Źródło:
Poznan University of Technology Academic Journals. Electrical Engineering; 2012, 69; 49-56
1897-0737
Pojawia się w:
Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An interface crack with mixed electro-magnetic conditions at it faces in a piezoelectric / piezomagnetic bimaterial under anti-plane mechanical and in-plane electric loadings
Autorzy:
Onopriienko, O.
Loboda, V.
Sheveleva, A.
Lapusta, Y.
Powiązania:
https://bibliotekanauki.pl/articles/387097.pdf
Data publikacji:
2018
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
piezoelectromagnetic material
mode-iii interface crack
analytical solution
Opis:
An interface crack between two semi-infinite piezoelectric/piezomagnetic spaces under out-of-plane mechanical load and in-plane electrical and magnetic fields parallel to the crack faces is considered. Some part of the crack faces is assumed to be electrically conductive and having uniform distribution of magnetic potential whilst the remaining part of the crack faces is electrically and magnetically permeable. The mechanical, electrical, and magnetic factors are presented via functions which are analytic in the whole plane except the crack region. Due to these representations the combined Dirichlet-Riemann and Hilbert boundary value problems are formulated and solved in rather simple analytical form for any relation between conductive and permeable zone lengths. Resulting from this solution the analytical expressions for stress, electric and magnetic fields as well as for the crack faces displacement jump are presented. The singularities of the obtained solution at the crack tips and at the separation point of the mention zones are investigated and the formulas for the corresponding intensity factors are presented. The influence of external electric and magnetic fields upon the mechanic, electric and magnetic quantities at the crack region are illustrated in graph and table forms.
Źródło:
Acta Mechanica et Automatica; 2018, 12, 4; 301-310
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New analysis of natural convection boundary layer flow on a horizontal plate with variable wall temperature
Nowa analiza naturalnego opływu konwekcyjnej warstwy przyściennej na poziomej płycie o zróżnicowanej temperaturze powierzchni
Autorzy:
Mehrizi, A. A.
Vazifeshenas, Y.
Domairry, G.
Powiązania:
https://bibliotekanauki.pl/articles/281672.pdf
Data publikacji:
2012
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
free convection
HAM (Homotopy Analysis Method)
analytical solution
Opis:
In this study, steady laminar free convection boundary layer flow on a horizontal plate is investigated through analytical solutions. By transforming the governing non-dimensional boundary layer equations into an ordinary differential equation, the application of the Homotopy Analysis Method can be practical. So in this case, the analytical results for different Prandtl numbers and constant M values which portray the power index are achieved. The trend goes on large amounts of (M ��>> 1) and the results are compared with other efforts. Furthermore, the effects of different values of Prandtl number and M values on temperature and velocity profiles are verified.
W pracy zajęto się swobodnym, laminarnym opływem konwekcyjnej warstwy przyściennej na poziomej płycie w ujęciu czysto analitycznym. Bezwymiarowe równania warstwy przekształcono do postaci różniczkowej zwyczajnej, co pozwoliło na zastosowanie metody homotopii. Otrzymano analityczne wyniki określające wykładnik potęgowy opływu dla różnych wartości liczby Prandtla oraz stałej M. Badania rozszerzono na �>> 1, a rezultaty porównano z opracowaniami innych badaczy. Zweryfikowano również wpływ liczby Prandtla oraz stałej M na rozkład temperatury i prędkości opływu w rozważanej warstwie.
Źródło:
Journal of Theoretical and Applied Mechanics; 2012, 50, 4; 1001-1010
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An analytical solution for dynamic response of water barrier subjected to strong shock waves caused by an underwater explosion to dams
Autorzy:
Lu, L.
Zou, D.
Zhu, Y.
Dong, Y.
Zuo, C.
Wu, Y.
Powiązania:
https://bibliotekanauki.pl/articles/260289.pdf
Data publikacji:
2017
Wydawca:
Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
Tematy:
underwater explosion
shock wave
dam
analytical solution
dynamic response
Opis:
Shock waves arriving at a dam site are close to plane waves when the center of an underwater explosion is far from the dam site. In general, the wave pressure is calculated with COLE empirical formula. The COLE formula is a negative exponential function with respect to time. In this paper, a new analytical solution algorithm is proposed, which does not require the use of step-by-step time integration. In Comparison with the step-by-step time integration, the proposed algorithm requires relatively less calculation and avoids high-frequency oscillation. Furthermore, the vertical upstream surface and the sloping upstream surface in two types of the dams are analyzed in this paper. The research results indicate that the analytical solution can be applied for a dam with a vertical upstream surface. However, because the upstream face of a dam is inclined, the analytical solution can be obtained only for dams that are at lower height. Whenever the height of a dam is higher, then no analytical solution can be obtained, and only the use of step-by-step time integration can obtain a solution.
Źródło:
Polish Maritime Research; 2017, S 2; 111-117
1233-2585
Pojawia się w:
Polish Maritime Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact Analytical Solutions of Nonlinear Differential Equation of a Large Amplitude Simple Pendulum
Autorzy:
Sobamowo, M. G.
Powiązania:
https://bibliotekanauki.pl/articles/1030465.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Exact Analytical solution
Large amplitude
Oscillation system
Strong nonlinearity
Opis:
The governing equation of large amplitude simple pendulum is a nonlinear equation which is very difficult to be solved exactly and analytically. However, the classical way for finding analytical solution is obviously still very much important. This is because an exact analytical solution serves as an accurate benchmark for numerical solution and provides a better insight into the significance of various system parameters affecting the phenomena than the numerical solution. Therefore, in this present work, exact analytical solutions for nonlinear differential equation of large amplitude simple pendulum is presented. Also, with the aid of the exact analytical solutions, parametric studies are carried out to study the effects of the model parameters on the dynamic behavior of the large-amplitude nonlinear oscillation system. The solutions can serve as benchmarks for the numerical solution or approximate analytical solution.
Źródło:
World Scientific News; 2020, 144; 70-88
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Differential Transform Method for the Kinetic Analysis of Thermal Inactivation of Enzyme as Applied in Biotechnology
Autorzy:
Adeleye, O. A.
Sobamowo, M. G.
Akinnukawe, B. I.
Powiązania:
https://bibliotekanauki.pl/articles/1031487.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Analytical solution
Differential transformation method
Enzyme
Kinetic analysis
Thermal inactivation
Opis:
In this work, approximate analytical solution is developed using differential transformation method for finding the molar concentration of the native and denatured enzyme in terms of second-order rate constant. Also, the obtained solutions are used to study the kinetics of thermal inactivation of enzyme as applied in biotechnology. The analytical solution was validated with numerical solution using fourth- order Runge-Kutta. Good agreement was established between the numerical and approximated analytical solutions.
Źródło:
World Scientific News; 2020, 142; 135-149
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analytical solution for one-dimensional consolidation of unsaturated soils under dynamic load
Autorzy:
Liu, Zhi-Yi
Song, Yu
Zhou, Feng-Xi
Wang, Li-Ye
Powiązania:
https://bibliotekanauki.pl/articles/2200882.pdf
Data publikacji:
2023
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
unsaturated soil
consolidation characteristic
dynamic load
analytical solution
numerical calculation
Opis:
Firstly, in this paper, based on the theory of the porous elastic medium and combined with the effective stress principle of unsaturated soil, a set of governing equations is established to describe consolidation of the unsaturated soil. Secondly, an analytical expression under any dynamic loads is obtained with the help of Laplace integral transformation. Finally, analysis of numerical examples under specific boundary conditions is made to discuss one-dimensional consolidation characteristics under harmonic loads and the influence of factors on the consolidation characteristics of unsaturated soil, such as excitation frequency and initial saturation.
Źródło:
Journal of Theoretical and Applied Mechanics; 2023, 61, 1; 11--22
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized semi-opened axial dispersion model
Autorzy:
Bártová, D.
Jakeš, B.
Kukal, J.
Powiązania:
https://bibliotekanauki.pl/articles/229785.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
axial dispersion
flow models
analytical solution
generalization
limit cases
numerical aspects
Opis:
The axial dispersion model (ADM) is studied and then generalized by a new form of the left boundary condition of semi-open flow system. The resulting parameter driven model covers the traditional axial models: axial closed-opened dispersion model with enforced input concentration (AEO), axial closed-opened dispersion model with input Danckwerts' condition (ACO), and axial opened-opened model (AOO). It also enables development of the degraded axial model (ADO). The research is concerned with both modeling and mathematical solution. Also, many numerical aspects of computer realization are discussed.
Źródło:
Archives of Control Sciences; 2012, 22, 1; 59-75
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis, evaluation, and optimization of bio-medical thermo-resistive micro-calorimetric flow sensor using an analytical approach
Autorzy:
Babaelahi, Mojtaba
Sadri, Somayyeh
Powiązania:
https://bibliotekanauki.pl/articles/2051855.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
thermo-resistive
micro-calorimetric
sensor
temperature
variable conductivity
analytical solution
optimization
Opis:
Sensitive MEMS-based thermal flow sensors are the best choice for monitoring the patient’s respiration prompt diagnosis of breath disturbances. In this paper, open space micro-calorimetric flow sensors are investigated as precise monitoring tools. The differential energy balance equation, including convection and conduction terms, is derived for thermal analysis of the considered sensor. The temperature-dependent thermal conductivity of the thin silicon-oxide membrane layer is considered in the energy balance equation. The derived thermal non-linear differential equation is solved using a well-known analytical method, and a finite-element numerical solution is used for the confirmation. Results show that the presented analytical model offers a precise tool for evaluating these sensors. The effects of flow and thin membrane film parameters on thermo-resistive micro-calorimetric flow sensors’ performance and sensitivity are evaluated. The optimization has been performed at different flow velocities using a genetic algorithm method to determine the optimum configuration of the considered flow sensor. The geometrical parameters are selected as a decision variable in the optimization procedure. In the final step, using optimization results and curve-fitting, the expressions for the optimum decision variables have been derived. The sensor’s optimum configuration is achieved analytically based on flow velocity with the analytical terms for optimum decision variables.
Źródło:
Metrology and Measurement Systems; 2022, 29, 1; 109-125
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Efficiency of Differential Transformation Method to the Solutions of Large Amplitude Nonlinear Oscillation Systems
Autorzy:
Sobamowo, M. G.
Yinusa, A. A.
Adeleye, O. A.
Alozie, S. I.
Salawu, S. A.
Salami, M. O.
Powiązania:
https://bibliotekanauki.pl/articles/1031949.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Analytical solution
Differential transformation method
Large amplitude
Oscillation system
Strong nonlinearity
Opis:
In this work, the efficiency of differential transformation method to the solutions of large amplitude nonlinear oscillatory systems is further established. Two cases of oscillation systems, nonlinear plane pendulum and pendulum in a rotating plane are considered. Without any linearization, discretization or series expansion of the sine and cosine of the angular displacement in the nonlinear models of the systems, the differential transformation method with Padé approximant is used to provide analytical solutions to the nonlinear problems. Also, the increased predictive power and the high level of accuracy of the differential transformation method over the previous methods are presented. The extreme accuracy and validity of the analytical solutions obtained by the differential transformation method are shown through comparison of the results of the solution with the corresponding numerical solutions obtained by fourth-fifth-order Runge-Kutta method. Also, with the aid of the analytical solutions, parametric studies were carried to study the impacts of the model parameters on the dynamic behavior of the large-amplitude nonlinear oscillation system. The method avoids any numerical complexity and it is very simple, suitable and useful as a mathematical tool for dealing the nonlinear problems.
Źródło:
World Scientific News; 2020, 139, 1; 1-60
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effectiveness factor of two-dimensional ring-shaped catalyst pellets
Autorzy:
Asif, M.
Ibrahim, A. A.
Mohammed, Y. A.
Al-Ghurabi, E. H.
Powiązania:
https://bibliotekanauki.pl/articles/780040.pdf
Data publikacji:
2017
Wydawca:
Zachodniopomorski Uniwersytet Technologiczny w Szczecinie. Wydawnictwo Uczelniane ZUT w Szczecinie
Tematy:
hollow catalyst pellet
effectiveness factor
Thiele modulus
convergence behavior
analytical solution
Opis:
The use of hollow catalytic support improves the utilization of the catalytic material because of the absence of the pellet core, and moreover ensures low reactor pressure drop owing to enhanced bed voidage. In this study, the expressions for the efficient computation of the effectiveness factor are derived for a ring-shaped catalyst pellet undergoing first-order irreversible reaction. The methodology consists of using solutions of one-dimensional problems to remove non-homogeneous boundary conditions. The expressions obtained exhibit significantly faster convergence behavior than those reported in literature. The shape parameters, namely, the height-to-diameter ratio and the inner-to-outer radii ratio, significantly affect the catalyst utilization, such that several-fold improvement in the effectiveness factor is achievable.
Źródło:
Polish Journal of Chemical Technology; 2017, 19, 3; 99-105
1509-8117
1899-4741
Pojawia się w:
Polish Journal of Chemical Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of HPM to find analytical solution of coette flow with variable viscosity
Autorzy:
Azimi, A.
Azimi, M.
Javanfar, A.
Powiązania:
https://bibliotekanauki.pl/articles/386372.pdf
Data publikacji:
2015
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
analytical solution
HPM
coette flow
viscosity
rozwiązanie analityczne
lepkość
przepływ Couette'a
Opis:
In this paper, the couette flow of fluid with variable viscosity is studied analytically by using Homotopy Pertubation Method (HPM). At first the basic idea of Homotopy Pertubation Method (HPM) is presented. The mathematical formulation and application of HPM to nonlinear problem are presented in section three. In order to check the validity of solution the analytical results are compared with exact ones for various numerical cases. The good agreement between exact method and Homotopy Pertubation Method has been assures us about the solution accuracy.
Źródło:
Acta Mechanica et Automatica; 2015, 9, 1; 5-8
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Free vibration analysis of composite face sandwich plate strengthens by Al2O3 and SiO2 nanoparticles materials
Autorzy:
Al-Shablle, Marwan
Njim, Emad Kadum
Jweeg, Mushin J.
Al-Waily, Muhannad
Powiązania:
https://bibliotekanauki.pl/articles/2203639.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Polskie Towarzystwo Diagnostyki Technicznej PAN
Tematy:
sandwich panel
analytical solution
composite-face
nanoparticles
płyta warstwowa
rozwiązanie analityczne
nanocząstka
Opis:
The main novelty of the paper is that analytical, experimental, and numerical analyses are used to investigate the free vibration problem of a sandwich structure in which Nanocomposites skins (SiO2/epoxy and Al2O3/epoxy) at different densities are used as the face sheet. The volume fraction's of nanoparticle addition varies (0% to 2.5%). The present free vibration was derived based on Kirchhoff's theory and aspiration to obtain the natural frequency. The results show that in structures with SiO2 nanoparticles with a density of 1180 kg⁄m3, the optimum increase (VF = 2.5%) is 50% in Young's modulus and 22% in natural frequency, while at a density of 1210 kg⁄m3 is 56 % in Young's modulus and 24.5% in natural frequency. Furthermore, the same structures reinforced with Al2O3 Nano-particles show that at the density of 1180 kg⁄m3 , the optimum (VF=2.5%) parentage increase in Young's modulus is 41% and 19% in natural frequency, while at the density of 1210 kg⁄m3 is 46% in Young's modulus and 21% in natural frequency. A numerical investigation was used to validate the obtained results of the analytical solution. The findings also show an acceptable convergence between analytical and numerical techniques with a maximum discrepancy not exceeding 3%.
Źródło:
Diagnostyka; 2023, 24, 2; art. no. 2023205
1641-6414
2449-5220
Pojawia się w:
Diagnostyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Saint-Venant torsion of a Cartesian orthotropic bar with an isosceles right-angled triangle cross-section
Autorzy:
Ecsedi, István
Baksa, Attila
Powiązania:
https://bibliotekanauki.pl/articles/38890068.pdf
Data publikacji:
2024
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
Saint-Venant torsion
approximate analytical solution
lower and upper bounds
torsional rigidity
orthotropic.
Opis:
The Saint-Venant torsion of the Cartesian orthotropic homogeneous linearly elastic bar is considered. The cross-section of the prismatic bar is an isosceles right-angled triangular plane domain. An approximate analytical method is presented to obtain Prandtl’s stress function, shearing stresses, and torsional rigidity. Upper and lower bounds for the torsional rigidity are provided. The obtained results for shearing stresses are verified through FEM computation.
Źródło:
Engineering Transactions; 2024, 72, 1; 81-94
0867-888X
Pojawia się w:
Engineering Transactions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Verification of a binary fluid solidification model using semi-analitycal solution of 1D heat diffusion equation
Autorzy:
Wacławczyk, T.
Schäfer, M.
Powiązania:
https://bibliotekanauki.pl/articles/952683.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
heat diffusion
semi-analytical solution
numerical methods
binary fluid solidification
dyfuzja ciepła
metody numeryczne
Opis:
The aim of the present work is to verify a numerical implementation of a binary fluid, heat conduction dominated solidification model with a novel semi-analytical solution to the heat diffusion equation. The semi-analytical solution put forward by Chakaraborty and Dutta (2002) is extended by taking into account variable in the mushy region solid/liquid mixture heat conduction coefficient. Subsequently, the range in which the extended semi-analytical solution can be used to verify numerical solutions is investigated and determined. It has been found that linearization introduced to analytically integrate the heat diffusion equation impairs its ability to predict solidus and liquidus line positions whenever the magnitude of latent heat of fusion exceeds a certain value.
Źródło:
Chemical and Process Engineering; 2018, 39, 1; 85-102
0208-6425
2300-1925
Pojawia się w:
Chemical and Process Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 47

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