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Wyświetlanie 1-15 z 23
Tytuł:
A coupled system of fractional order integral equations in reflexive Banach spaces
Autorzy:
El-Sayed, A.M.A.
Hashem, H.H.G.
Powiązania:
https://bibliotekanauki.pl/articles/963436.pdf
Data publikacji:
2012
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Weak solution
Pettis-integral of fractional order integration
Coupled system
Opis:
We present an existence theorem for at least one weak solution for a coupled system of integral equations of fractional order in reflexive Banach spaces relative to the weak topology.
Źródło:
Commentationes Mathematicae; 2012, 52, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Flexural vibration of coupled double-walled Carbon nanotubes conveying fluid under thermo-magnetic fields based on strain gradient theory
Autorzy:
Ghorbanpour Arani, A.
Dashti, P.
Amir, S.
Yousefi, M.
Powiązania:
https://bibliotekanauki.pl/articles/949348.pdf
Data publikacji:
2015
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
flexural vibration
conveying fluid
coupled system
thermo-magnetic fields
viscoelasticity
Opis:
The flexural vibration stability of a coupled double-walled viscoelastic carbon nanotube conveying a fluid based on the Timoshenko beam (TB) model is investigated. The coupled system is surrounded by an elastic medium which is simulated as Pasternak foundation. Van der Waals (vdW) forces between the inner and outer CNTs are taken into account based on the Lenard-Jones model. Using small scale theories, Hamilton’s principle and applying two dimensional (2D) magnetic field higher order governing equations are derived. The differential quadrature method (DQM) is applied to solve partial differential equations and investigate natural frequency of the system. The effects of viscoelastic constant, magnetic field with variable magnitudes and surface stresses on natural frequency of the structure are demonstrated in this study.
Źródło:
Journal of Theoretical and Applied Mechanics; 2015, 53, 4; 947-957
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the weak solutions of a coupled system of Volterra--Stieltjes integral equations
Autorzy:
Alfadel, Masouda
El-sayed, Ahmed
Powiązania:
https://bibliotekanauki.pl/articles/962154.pdf
Data publikacji:
2017
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Coupled system
weak solution
weakly Riemann--Stieltjes integral
weakly relatively compact
Opis:
We present an existence theorem for at least one weak solution to a coupled system of Volterra--Stieltjes integral equations in a reflexive Banach space.
Źródło:
Commentationes Mathematicae; 2017, 57, 2; 143-151
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamic modeling and analysis of helical gear-shaft-bearing coupled system
Autorzy:
Bai, Huan
Song, Chaosheng
Zhu, Caichao
Wang, Yawen
Ou, Zhuxiang
Powiązania:
https://bibliotekanauki.pl/articles/2055045.pdf
Data publikacji:
2020
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
gear-shaft-bearing coupled system
dynamic characteristics
rotating speed
bearing clearance
Opis:
Considering bearing clearance, time-varying mesh stiffness, time-varying transmission error and shaft flexibility, a coupled gear-shaft-bearing dynamic model for a helical gear transmission is established. The influences of rotating speed, input torque load and bearing clearance on the dynamics are studied. Results show that the frequency and the magnitude of the peak response increase with the increase of load. As the bearing clearance increases, the amplitude of the dominant mesh frequency is significantly increased. Under lower speed, the clearance has a limited effect on the dynamic mesh force. However, under moderate and high speeds, the main peak response frequency of the dynamic mesh force is decreased as it increases.
Źródło:
Journal of Theoretical and Applied Mechanics; 2020, 58, 3; 743--756
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal Control of a Drying Process with Avoiding Cracks
Autorzy:
Galant, Alexander
Grossman, Christian
Scheffler, Michael
Wensch, Jörg
Powiązania:
https://bibliotekanauki.pl/articles/1373542.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Jagielloński. Wydawnictwo Uniwersytetu Jagiellońskiego
Tematy:
optimal control
penalty barrier methods
control constraints
coupled parabolic system
descretization
Opis:
The paper deals with the numerical treatment of the optimal control of drying of materials which may lead to cracks. The drying process is controlled by temperature, velocity and humidity of the surrounding air. The state equations dene the humidity and temperature distribution within a simplied wood specimen for given controls. The elasticity equation describes the internal stresses under humidity and temperature changes. To avoid cracks these internal stresses have to be limited. The related constraints are treated by smoothed exact barrier-penalty techniques. The objective functional of the optimal control problem is of tracking type. Further it contains a quadratic regularization by an energy term for the control variables (surrounding air) and barrier-penalty terms. The necessary optimality conditions of the auxiliary problem form a coupled system of nonlinear equations in appropriate function spaces. This optimality system is given by the state equations and the related adjoint equations, but also by an approximate projection onto the admissible set of controls by means of barrier-penalty terms. This system is discretized by nite elements and treated iteratively for given controls. The optimal control itself is performed by quasi-Newton techniques.
Źródło:
Schedae Informaticae; 2012, 21; 81-105
0860-0295
2083-8476
Pojawia się w:
Schedae Informaticae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions
Autorzy:
Zada, Akbar
Yar, Muhammad
Li, Tongxing
Powiązania:
https://bibliotekanauki.pl/articles/744661.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
Caputo fractional derivative
Riemann–Liouville fractional integral
coupled system
existence
uniqueness
fixed point theorem
Hyers–Ulam stability
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2018, 17
2300-133X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The control of drilling vibrations: A coupled PDE-ODE modeling approach
Autorzy:
Saldivar, B.
Mondié, S.
Ávila Vilchis, J. C.
Powiązania:
https://bibliotekanauki.pl/articles/331138.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
drilling vibrations
LMI approach
ultimate boundedness
coupled wave-ODE system
Opis:
The main purpose of this contribution is the control of both torsional and axial vibrations occurring along a rotary oilwell drilling system. The model considered consists of a wave equation coupled to an ordinary differential equation (ODE) through a nonlinear function describing the rock–bit interaction. We propose a systematic method to design feedback controllers guaranteeing ultimate boundedness of the system trajectories and leading consequently to the suppression of harmful dynamics. The proposal of a Lyapunov–Krasovskii functional provides stability conditions stated in terms of the solution of a set of linear and bilinear matrix inequalities (LMIs, BMIs). Numerical simulations illustrate the efficiency of the obtained control laws.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2016, 26, 2; 335-349
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Extremal solutions to a coupled system of nonlinear fractional differential equations with Caputo fractional derivatives
Autorzy:
Derbazi, Choukri
Baitiche, Zidane
Benchohra, Mouffak
Graef, John R.
Powiązania:
https://bibliotekanauki.pl/articles/2052385.pdf
Data publikacji:
2021
Wydawca:
Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
Tematy:
Caputo fractional derivative
coupled system
extremal solutions
monotone iterative technique
upper and lower solutions
pochodna ułamkowa Caputo
system sprzężony
ekstremalne rozwiązania
monotoniczna technika iteracyjna
Opis:
Using the well-known monotone iterative technique together with the method of upper and lower solutions, the authors investigate the existence of extremal solutions to a class of coupled systems of nonlinear fractional differential equations involving the $\psi$-Caputo derivative with initial conditions. As applications of this work, two illustrative examples are presented.
Źródło:
Journal of Mathematics and Applications; 2021, 44; 19-34
1733-6775
2300-9926
Pojawia się w:
Journal of Mathematics and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Examination of the Effect of a Sound Source Location on the Steady-State Response of a Two-Room Coupled System
Autorzy:
Meissner, M.
Powiązania:
https://bibliotekanauki.pl/articles/177058.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
coupled room system
steady-state room response
potential and kinetic energy densities
localization of modes
Opis:
In this paper, the computer modelling application based on the modal expansion method is developed to study the influence of a sound source location on a steady- state response of coupled rooms. In the research, an eigenvalue problem is solved numerically for a room system consisting of two rectangular spaces connected to one another. A numerical procedure enables the computation of shape and frequency of eigenmodes, and allows one to predict the potential and kinetic energy densities in a steady-state. In the first stage, a frequency room response for several source positions is investigated, demonstrating large deformations of this response for strong and weak modal excitations. Next, a particular attention is given to studying how the changes in a source position influence the room response when a source frequency is tuned to a resonant frequency of a strongly localized mode.
Źródło:
Archives of Acoustics; 2011, 36, 4; 761-775
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation
Autorzy:
Khapalov, A.
Powiązania:
https://bibliotekanauki.pl/articles/330536.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
swimming model
coupled PDE/ODE system
nonstationary Stokes equation
sprzężony system PDE/ODE
równanie Stokesa
Opis:
We introduce and investigate the well-posedness of a model describing the self-propelled motion of a small abstract swimmer in the 3-D incompressible fluid governed by the nonstationary Stokes equation, typically associated with low Reynolds numbers. It is assumed that the swimmer’s body consists of finitely many subsequently connected parts, identified with the fluid they occupy, linked by rotational and elastic Hooke forces. Models like this are of interest in biological and engineering applications dealing with the study and design of propulsion systems in fluids.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 277-290
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Addendum to “The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation”
Autorzy:
Khapalov, A.
Powiązania:
https://bibliotekanauki.pl/articles/330456.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
swimming model
coupled PDE/ODE system
nonstationary Stokes equation
sprzężony system PDE/ODE
równanie Stokesa
Opis:
In this addendum we address some unintentional omission in the description of the swimming model in our recent paper (Khapalov, 2013).
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 4; 905-906
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Theoretical analysis of the efficiency of a V2G wireless charger for electric vehicles
Autorzy:
Triviño, Alicia
Gonzalez-Gonzalez, Jose M.
Aguado, Jose A.
Powiązania:
https://bibliotekanauki.pl/articles/136256.pdf
Data publikacji:
2019
Wydawca:
EEEIC International Barbara Leonowicz Szabłowska
Tematy:
V2G
wireless discharge
losses
efficiency
electric vehicle
inductively-coupled power system
ICPT
bidirectional
wireless charging
Opis:
V2G (Vehicle-to-grid) technology will report important benefits for the operation and safety of the grid. In order to facilitate the expansion of the V2G technology in a future, it is recommended to offer the drivers with easy to use methods to charge and discharge their EV batteries. In this sense, wireless chargers are expected to play a relevant role in the future electrical networks as it reduces the users intervention. The development of this kind of system is still open to improve them in terms of their operation, their compliance and their control. An important issue for the evaluation of these systems is the efficiency, which measures the power losses occurring in the system. This paper addresses a deep study about the losses in a bidirectional wireless charger. Then, it provides with a mathematical model to characterize them. This model is validated by means of experimental results conducted in a 3.7-kW prototype.
Źródło:
Transactions on Environment and Electrical Engineering; 2019, 3, 1; 9-14
2450-5730
Pojawia się w:
Transactions on Environment and Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical solution of a fractional coupled system with the Caputo-Fabrizio fractional derivative
Autorzy:
Mansouri, Ikram
Bekkouche, Mohammed Moumen
Ahmed, Abdelaziz Azeb
Powiązania:
https://bibliotekanauki.pl/articles/2202061.pdf
Data publikacji:
2023
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Caputo-Fabrizio fractional derivative
fractional integral
coupled system
fractional differential equation
fixed point
Adomian decomposition method
pochodna ułamkowa Caputo-Fabrizio
całkowanie ułamkowe
system sprzężony
ułamkowe równanie różniczkowe
punkt stały
metoda dekompozycji Adomiana
Opis:
Within this work, we discuss the existence of solutions for a coupled system of linear fractional differential equations involving Caputo-Fabrizio fractional orders. We prove the existence and uniqueness of the solution by using the Picard-Lindel ̈of method and fixed point theory. Also, to compute an approximate solution of problem, we utilize the Adomian decomposition method (ADM), as this method provides the solution in the form of a series such that the infinite series converge to the exact solution. Numerical examples are presented to illustrate the validity and effectiveness of the proposed method.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 1; 46--56
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamics of multi-pendulum systems with fractional order creep elements
Dynamika układów wielowahadłowych z efektem pełzania opisanym elementami ułamkowego rzędu
Autorzy:
Hedrih (Stevanovic), K. R.
Powiązania:
https://bibliotekanauki.pl/articles/280921.pdf
Data publikacji:
2008
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
drgania
układy wielowahadłowe
coupled subsystems
coupled dynamics
multi-pendulum system
Opis:
A survey as a short review of author’s research results in area of dynamics of hybrid systems and analytical dynamics of discrete material particle system containing creep elements described by fractional order derivatives, is presented. Free vibrations of a multi-pendulum system intercoupled by standard light elements and different properties are considered. The corresponding system of an ordinary fractional order as well as integro-differential equations, described dynamics of the multi-pendulum system, are derived and analytically solved. For the case of one pendulum and two pendulum systems containing standard light creep elements with the stress-strain constitutive relation expressed by a fractional order derivative, ordinary differential equations are analytically solved. From the analytical solutions, for the case of the homogeneous two-pendulum system, it is visible that free vibrations under arbitrary initial conditions contain three modes, one pure periodic and two aperiodic expressed by time series expansions. The obtained analytical solution modes are numerically analysed and characteristic vibration modes for different kinetic parameters are graphically presented.
W pracy zaprezentowano krótki przegląd rezultatów badań autora nad dynamiką układów hybrydowych i dyskretnych, złożonych z punktów materialnych sprzęgniętych standardowymi elementami odpowiadającymi za pełzanie w materiale i opisywanych pochodną ułamkowego rzędu. Rozważono drgania swobodne układów wielowahadłowych z elementami o różnych właściwościach zdefiniowanych równaniem pomiędzy stanem naprężenia a odkształcenia. Wyprowadzone równania różniczkowo-całkowe ułamkowego rzędu rozwiązano analitycznie. Przedstawiono szczegółowo przypadek układu z pojedynczym wahadłem i układu dwuwahadłowego zawierającego elementy pełzania opisane równaniem konstytutywnym stanu naprężenia i odkształcenia o rzędzie ułamkowym. Na podstawie otrzymanych rozwiązań analitycznych zauważono, że drgania swobodne wykazują charakter okresowy i nieokresowy, przy czym te ostatnie mają dwa różne przebiegi (w tym przypadku rozwiązanie podano w postaci rozwinięć w szeregi potęgowe). Wyniki badań teoretycznych i numerycznych różnego rodzaju drgań przy zmiennych parametrach kinetycznych tych układów przedstawiono graficznie.
Źródło:
Journal of Theoretical and Applied Mechanics; 2008, 46, 3; 483-509
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A multivariable multiobjective predictive controller
Autorzy:
Ben Aicha, F.
Bouani, F.
Ksouri, M.
Powiązania:
https://bibliotekanauki.pl/articles/331360.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
closed loop performance
coupled multivariable system
generalized predictive control
multiobjective optimization
weighted sum method
NSGA-II
układ wielowymiarowy
sterowanie predykcyjne
optymalizacja wielokryterialna
metoda sumy ważonej
Opis:
Predictive control of MIMO processes is a challenging problem which requires the specification of a large number of tuning parameters (the prediction horizon, the control horizon and the cost weighting factor). In this context, the present paper compares two strategies to design a supervisor of the Multivariable Generalized Predictive Controller (MGPC), based on multiobjective optimization. Thus, the purpose of this work is the automatic adjustment of the MGPC synthesis by simultaneously minimizing a set of closed loop performances (the overshoot and the settling time for each output of the MIMO system). First, we adopt the Weighted Sum Method (WSM), which is an aggregative method combined with a Genetic Algorithm (GA) used to minimize a single criterion generated by the WSM. Second, we use the Non- Dominated Sorting Genetic Algorithm II (NSGA-II) as a Pareto method and we compare the results of both the methods. The performance of the two strategies in the adjustment of multivariable predictive control is illustrated by a simulation example. The simulation results confirm that a multiobjective, Pareto-based GA search yields a better performance than a single objective GA.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 1; 35-45
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 23

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