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    Wyświetlanie 1-8 z 8
    Tytuł:
    Acoustic Pressure Radiated by a Circular Membrane Into the Quarter-Space
    Autorzy:
    Rdzanek, W. P.
    Szemela, K.
    Pieczonka, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/177368.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    acoustic pressure
    Fraunhoffer's zone
    Green function
    circular membrane
    Opis:
    The Neumann boundary value problem for the Helmholtz equation within the quarter-space has been considered in this paper. The Green function has been used to find the acoustic pressure amplitude as the approximation valid within the Fraunhoffer’s zone for some time-harmonic steady state processes. The low fluid loading has been assumed and the acoustic attenuation has been neglected. It has also been assumed that the vibration velocity of the acoustic particles is small as compared with the sound velocity in the gaseous medium.
    Źródło:
    Archives of Acoustics; 2011, 36, 1; 121-139
    0137-5075
    Pojawia się w:
    Archives of Acoustics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Exact and approximate controllability conditions for the micro-swimmers deflection governed by electric field on a plane: The Green’s function approach
    Autorzy:
    Khurshudyan, A. Zh.
    Powiązania:
    https://bibliotekanauki.pl/articles/229564.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    run
    tumble
    micro-swimmers
    Green’s function of nonlinear equation
    discontinuous
    Opis:
    We study the exact and approximate controllabilities of the Langevin equation describing the Brownian motion of particles with a white noise. The Langevin equation is shown to describe also the bacterial run-and-tumble motion. Applying the Green’s function approach to the Green’s function representation of the Langevin equation, we obtain necessary and sufficient conditions for exact controllability in the form of a finite-dimensional problem of moments. For the approximate controllability, we obtain only sufficient conditions. The sets of resolving controls are characterized in both cases. The theoretical derivations are supported by a numerical analysis.
    Źródło:
    Archives of Control Sciences; 2018, 28, 3; 335-347
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Approximate controllability of second order infinite dimensional systems
    Autorzy:
    Klamka, Jerzy
    Khurshudyan, Asatur Zh.
    Powiązania:
    https://bibliotekanauki.pl/articles/1409079.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    infinite dimensional systems
    approximate controllability
    Green’s function approach
    flexible Kirchhoff–Love plate
    Opis:
    In the paper approximate controllability of second order infinite dimensional system with damping is considered. Applying linear operators in Hilbert spaces general mathematical model of second order dynamical systems with damping is presented. Next, using functional analysis methods and concepts, specially spectral methods and theory of unbounded linear operators, necessary and sufficient conditions for approximate controllability are formulated and proved. General result may be used in approximate controllability verification of second order dynamical system using known conditions for approximate controllability of first order system. As illustrative example using Green function approach approximate controllability of distributed dynamical system is also discussed.
    Źródło:
    Archives of Control Sciences; 2021, 31, 1; 165-184
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A Time Domain Model of GPR Antenna Radiation Pattern
    Autorzy:
    Edemsky, F.
    Popov, A.
    Zapunidi, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/226318.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    subsurface sensing
    ground penetrating radar
    electromagnetic pulse radiation
    ground-air interface
    time-domain Green function
    spatio-temporal radiation pattern
    inverse problem
    deconvolution
    Źródło:
    International Journal of Electronics and Telecommunications; 2011, 57, 3; 407-411
    2300-1933
    Pojawia się w:
    International Journal of Electronics and Telecommunications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Acoustic Power Radiated by a System of Two Vibrating Circular Membranes Located at the Boundary of Three-Wall Corner Spatial Region
    Autorzy:
    Szemela, K.
    Rdzanek, W. P.
    Rdzanek, W. J.
    Powiązania:
    https://bibliotekanauki.pl/articles/176658.pdf
    Data publikacji:
    2012
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    three-wall corner region
    Green function
    Neumann boundary value problem
    modal analysis
    asymmetric vibrations
    vibration of an excited circular membrane
    acoustic power
    mutual interaction of sound sources
    Opis:
    Two vibrating circular membranes radiate acoustic waves into the region bounded by three infinite baffles arranged perpendicularly to one another. The Neumann boundary value problem has been inves- tigated in the case when both sources are embedded in the same baffle. The analyzed processes are time harmonic. The membranes vibrate asymmetrically. External excitations of different surface distributions and different phases have been applied to the sound sources’ surfaces. The influence of the radiated acoustic waves on the membranes’ vibrations has been included. The acoustic power of the sound sources system has been calculated by using a complete eigenfunctions system.
    Źródło:
    Archives of Acoustics; 2012, 37, 4; 463-473
    0137-5075
    Pojawia się w:
    Archives of Acoustics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Heating control of a finite rod with a mobile source
    Autorzy:
    Jilavyan, Samvel H.
    Grigoryan, Edmon R.
    Khurshudyan, Asatur Zh.
    Powiązania:
    https://bibliotekanauki.pl/articles/1409386.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    null-controllability
    mobile control
    nonlinear constraints
    triangular wave
    rectangular wave
    Green’s function approach
    heuristic control
    lack of exact controllability
    Opis:
    The Green’s function approach is applied for studying the exact and approximate null-controllability of a finite rod in finite time by means of a source moving along the rod with controllable trajectory. The intensity of the source remains constant. Applying the recently developed Green’s function approach, the analysis of the exact null-controllability is reduced to an infinite system of nonlinear constraints with respect to the control function. A sufficient condition for the approximate null-controllability of the rod is obtained. Since the exact solution of the system of constraints is a long-standing open problem, some heuristic solutions are used instead. The efficiency of these solutions is shown on particular cases of approximate controllability.
    Źródło:
    Archives of Control Sciences; 2021, 31, 2; 417-430
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Distributed controllability of one-dimensional heat equation in unbounded domains: The Greens function approach
    Autorzy:
    Khurshudyan, Asatur Zh.
    Powiązania:
    https://bibliotekanauki.pl/articles/229527.pdf
    Data publikacji:
    2019
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    lack of controllability
    exact controllability
    approximate controllability
    nullcontrollability
    Green’s function
    heuristic method
    infinite system of algebraic equations
    regularity
    fully regularity
    Opis:
    We derive exact and approximate controllability conditions for the linear one-dimensional heat equation in an infinite and a semi-infinite domains. The control is carried out by means of the time-dependent intensity of a point heat source localized at an internal (finite) point of the domain. By the Green’s function approach and the method of heuristic determination of resolving controls, exact controllability analysis is reduced to an infinite system of linear algebraic equations, the regularity of which is sufficient for the existence of exactly resolvable controls. In the case of a semi-infinite domain, as the source approaches the boundary, a lack of L2-null-controllability occurs, which is observed earlier by Micu and Zuazua. On the other hand, in the case of infinite domain, sufficient conditions for the regularity of the reduced infinite system of equations are derived in terms of control time, initial and terminal temperatures. A sufficient condition on the control time, heat source concentration point and initial and terminal temperatures is derived for the existence of approximately resolving controls. In the particular case of a semi-infinite domain when the heat source approaches the boundary, a sufficient condition on the control time and initial temperature providing approximate controllability with required precision is derived.
    Źródło:
    Archives of Control Sciences; 2019, 29, 1; 57-71
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Comparison of heating curves of a rectangular busbar in different conditions of heat abstraction during the short-circuit heating
    Autorzy:
    Zaręba, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/201224.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    analytical methods
    field theory
    transient heat flow
    short-circuit in leads
    Green’s function
    metody analityczne
    teoria pola
    nieustalony przepływ ciepła
    funkcja Greena
    Opis:
    The paper compares heating curves for a rectangular busbar in the conditions of convective and adiabatic heat transfer during short-circuit heating. Different coefficients of heat transfer from the external surface of the busbar and different busbar cross-sections have been assumed. This has allowed determining the error value occurring when the adiabatic rather than convective boundary condition is presumed at short circuit. The analysis takes into account a change of resistivity in the temperature function. The respective boundary-initial problems have been solved with analytical methods using Green’s function. The calculated results show that no considerable errors occur for long-lasting short circuits with an adiabatic rather than convective boundary condition.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 1; 79-85
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-8 z 8

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