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Wyszukujesz frazę "thermoelastic" wg kryterium: Temat


Wyświetlanie 1-3 z 3
Tytuł:
Uniform stability in structural acoustic systems with thermal effects and nonlinear boundary damping
Autorzy:
Lasiecka, I.
Lebiedzik, C.
Powiązania:
https://bibliotekanauki.pl/articles/206079.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
nonlinear boundary damping
structural acoustic model
thermoelastic plates
uniform stabilization
Opis:
The stabilization problem for a structural acoustic model is considered. The model under consideration is that of acoustic cavity (wave equation) coupled at the interface with a flexible wall (plate equation) which accounts for thermal effects. It is shown that frictional, nonlinear damping applied at the boundary of the acoustic chamber provides the uniform decay rates for the energy function of the overall structure. The main novelty of this result, with respect to the literature, is that the uniform stability for the model is established without assuming any mechanical damping the wall.
Źródło:
Control and Cybernetics; 1999, 28, 3; 557-581
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sharp Regularity of the Second Time Derivative wtt of Solutions to Kirchhoff Equations With Clamped Boundary Conditions
Autorzy:
Lasiecka, I.
Triggiani, R.
Powiązania:
https://bibliotekanauki.pl/articles/908077.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
warunek brzegowy
matematyka
Kirchhoff elastic and thermoelastic plate equations
clamped boundary conditions
Opis:
We consider mixed problems for Kirchhoff elastic and thermoelastic systems, subject to boundary control in the clamped Boundary Conditions B.C. ("clamped control"). If w denotes elastic displacement and theta temperature, we establish optimal regularity of {w,w_t,w_tt} in the elastic case, and of {w,w_t,w_tt,theta} in the thermoelastic case. Our results complement those presented in (Lagnese and Lions, 1988), where sharp (optimal) trace regularity results are obtained for the corresponding boundary homogeneous cases. The passage from the boundary homogeneous cases to the corresponding mixed problems involves a duality argument. However, in the present case of clamped B.C., and only in this case, the duality argument in question is both delicate and technical. In this respect, the clamped B.C. are 'exceptional' within the set of canonical B.C. (hinged, clamped, free B.C.). Indeed, it produces new phenomena which are accounted for by introducing new, untraditional factor (quotient) spaces. These are critical in describing both interior regularity and exact controllability of mixed elastic and thermoelastic Kirchhoff problems with clamped controls.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 4; 753-772
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wellposedness of optimal control problems for systems with unbounded controls and partially analytic generators
Autorzy:
Lasiecka, I.
Powiązania:
https://bibliotekanauki.pl/articles/206185.pdf
Data publikacji:
2002
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
równanie różniczkowe i algebraiczne Riccatiego
differential and algebraic Riccati equations
singular estimate
structural acoustic interactions
thermoelastic plates
unbounded control operators
Opis:
Wellposedness of differential and algebraic Riccati equations for control systems with unbounded control operators is considered. It is shown that the full-classical Riccati theory is recovered for a class of dynamics, whose generators are partially analytic. Partial analyticity is quantitatively expressed by the validity of the so-called "singular estimates", which is imposed on the composition operator E[sup At]B (A is the generator, B is unbounded control operator. This class comprises the PDE coupled systems with hyperbolic and parabolic components. Two illustrative examples are given in the paper: boumdary/point control of thermal plates with hyperbolic character and point control of structural acoustic interactions. The latter are described by wave equation coupled at an interface to a plate equation.
Źródło:
Control and Cybernetics; 2002, 31, 3; 751-777
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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