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    Wyświetlanie 1-6 z 6
    Tytuł:
    Extremal problems for parabolic systems with time-varying lags
    Autorzy:
    Kowalewski, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/229617.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    boundary control
    parabolic systems
    time-varying lags
    Opis:
    Extremal problems for parabolic systems with time-varying lags are presented. An optimal boundary control problem for parabolic systems in which time-varying lags appear in the state equations and in the boundary conditions simultaneously is solved. The time horizon is fixed. Making use of Dubovicki-Milutin scheme, necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functionals and constrained control are derived.
    Źródło:
    Archives of Control Sciences; 2018, 28, 1; 89-104
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Pointwise observation of the state given by complex time lag parabolic system
    Autorzy:
    Kowalewski, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/229580.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    distributed control
    parabolic system
    time lags
    pointwise observation
    Opis:
    Various optimization problems for linear parabolic systems with multiple constant time lags are considered. In this paper, we consider an optimal distributed control problem for a linear complex parabolic system in which different multiple constant time lags appear both in the state equation and in the Neumann boundary condition. Sufficient conditions for the existence of a unique solution of the parabolic time lag equation with the Neumann boundary condition are proved. The time horizon T is fixed. Making use of the Lions scheme [13], necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functional with pointwise observation of the state and constrained control are derived. The example of application is also provided
    Źródło:
    Archives of Control Sciences; 2017, 27, 1; 77-89
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Two-temperature theory for a heated semi-infinite solid by a pulsed laser radiation
    Autorzy:
    Zenkour, Ashraf M.
    Abouelregal, Ahmed E.
    Powiązania:
    https://bibliotekanauki.pl/articles/240137.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    thermoelasticity
    two-temperature
    non-Gaussian laser pulse
    laser intensity
    phase lags
    Opis:
    In this paper, the two-temperature thermoelasticity model is proposed to a specific problem of a thermoelastic semi-infinite solid. The bounding plane surface of the semi-infinite solid is considered to be under a non-Gaussian laser pulse. Generalized thermoelasticity analysis with dual-phase-lags is taken into account to solve the present problem. Laplace transform and its inversion techniques are applied and an analytical solution as well as its numerical outputs of the field variables are obtained. The coupled theory and other generalized theory with one relaxation time may be derived as special cases. Comparison examples have been made to show the effect of dual-phase-lags, temperature discrepancy, laser-pulse and laser intensity parameters on all felids. An additional comparison is also made with the theory of thermoelasticity at a single temperature.
    Źródło:
    Archives of Thermodynamics; 2020, 41, 2; 85-101
    1231-0956
    2083-6023
    Pojawia się w:
    Archives of Thermodynamics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Refined multi-phase-lags theory and Thomson effect on a micropolar thermoelastic medium with voids
    Autorzy:
    Alharbi, Amnah M.
    Abd-Elaziz, Elsayed M.
    Othman, Mohamed I.A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1955005.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    micropolar
    voids
    refined-phase-lags theory
    thomson effect
    normal mode
    analysis
    Opis:
    The problem considered is that of an isotropic, micropolar thermoelastic medium with voids subjected to the Thomson effect. The solution to the problem is presented in the context of the refined multiphase-lags theory of thermoelasticity. The normal mode analysis was used to obtain the analytical expressions of the considered variables. The nondimensional displacement, temperature, microrotation, the change in the volume fraction field and stress of the material are obtained and illustrated graphically. The variations of these quantities have been depicted graphically in the refined-phase-lag theory, Green and Naghdi theory of type II, Lord and Shulman theory and a coupled theory. The effects of the Thomson parameter and phase lag parameters on a homogeneous, isotropic, micropolar thermoelastic material with voids are revealed and discussed. Some particular cases of interest are deduced from the present investigation.
    Źródło:
    Archives of Thermodynamics; 2021, 42, 3; 279--309
    1231-0956
    2083-6023
    Pojawia się w:
    Archives of Thermodynamics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Thermoelastic Interactions in a Rotating Infinite Orthotropic Elastic Body with a Cylindrical Hole and Variable Thermal Conductivity
    Autorzy:
    Mashat, D. S.
    Zenkour, A. M.
    Abouelregal, A. E.
    Powiązania:
    https://bibliotekanauki.pl/articles/139602.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    thermoelasticity
    phase lags
    rotation
    orthotropic body
    cylindrical hole
    variable thermal conductivity
    termoelastyczność
    opóźnienia fazowe
    obrót
    ciało ortotropowe
    otwór cylindryczny
    zmienna przewodność cieplna
    Opis:
    In the present article, we introduced a new model of the equations of generalized thermoelasticity for unbounded orthotropic body containing a cylindrical cavity. We applied this model in the context of generalized thermoelasticity with phase-lags under the effect of rotation. In this case, the thermal conductivity of the material is considered to be variable. In addition, the cylinder surface is traction free and subjected to a uniform unit step temperature. Using the Laplace transform technique, the distributions of the temperature, displacement, radial stress and hoop stress are determined. A detailed analysis of the effects of rotation, phase-lags and the variability thermal conductivity parameters on the studied fields is discussed. Numerical results for the studied fields are illustrated graphically in the presence and absence of rotation.
    Źródło:
    Archive of Mechanical Engineering; 2017, LXIV, 4; 481-498
    0004-0738
    Pojawia się w:
    Archive of Mechanical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The effect of pulsed laser radiation on a thermoviscoelastic semi-infinite solid under two-temperature theory
    Autorzy:
    Othman, M. I.
    Abouelregal, A. E. E.
    Powiązania:
    https://bibliotekanauki.pl/articles/240353.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    generalized thermo-visco-elasticity
    two-temperature
    Non-Gaussian laser pulse
    laser intensity
    phase lags
    Kelvin-Voigt model
    termolepkosprężystość
    dwustopniowy
    niegaussowski impuls laserowy
    intensywność lasera
    model Kelvina-Voigta
    Opis:
    The purpose of this paper is to study the thermoviscoelastic interactions in a homogeneous, isotropic semi-infinite solid under two-temperature theory with heat source. The Kelvin-Voigt model of linear viscoelasticity which describes the viscoelastic nature of the material is used. The bounding plane surface of the medium is subjected to a non-Gaussian laser pulse. The generalized thermoelasticity theory with dual phase lags model is used to solve this problem. Laplace transform technique is used to obtain the general solution for a suitable set of boundary conditions. Some comparisons have been shown in figures to estimate the effects of the phase lags, viscosity, temperature discrepancy, laser-pulse and the laser intensity parameters on all the studied fields. A comparison was also made with the results obtained in the case of one temperature thermoelasticity theory.
    Źródło:
    Archives of Thermodynamics; 2017, 38, 3; 77-99
    1231-0956
    2083-6023
    Pojawia się w:
    Archives of Thermodynamics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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