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Wyszukujesz frazę "optimal shape control" wg kryterium: Temat

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    Wyświetlanie 1-5 z 5
    Tytuł:
    Dynamic programming approach to structural optimization problem - numerical algorithm
    Autorzy:
    Fulmański, P.
    Nowakowski, A.
    Pustelnik, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/255706.pdf
    Data publikacji:
    2014
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    elliptic equations
    optimal shape control
    structural optimization
    stationary Navier-Stokes equations
    dynamic programming
    sufficient optimality condition
    numerical approximation
    Opis:
    In this paper a new shape optimization algorithm is presented. As a model application we consider state problems related to fluid mechanics, namely the Navier-Stokes equations for viscous incompressible fluids. The general approach to the problem is described. Next, transformations to classical optimal control problems are presented. Then, the dynamic programming approach is used and sufficient conditions for the shape optimization problem are given. A new numerical method to find the approximate value function is developed.
    Źródło:
    Opuscula Mathematica; 2014, 34, 4; 699-724
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Shape sensitivity of optimal control for the Stokes problem
    Autorzy:
    Abdelbari, Merwan
    Nachi, Khadra
    Sokolowski, Jan
    Szulc, Katarzyna
    Powiązania:
    https://bibliotekanauki.pl/articles/2049935.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    Stokes equations
    optimal control problem
    coupled partial differential equations
    shape optimization
    shape gradient
    Opis:
    In this article, we study the shape sensitivity of optimal control for the steady Stokes problem. The main goal is to obtain a robust representation for the derivatives of optimal solution with respect to smooth deformation of the flow domain. We introduce in this paper a rigorous proof of existence of the material derivative in the sense of Piola, as well as the shape derivative for the solution of the optimality system. We apply these results to derive the formulae for the shape gradient of the cost functional; under some regularity conditions the shape gradient is given according to the structure theorem by a function supported on the moving boundary, then the numerical methods for shape optimization can be applied in order to solve the associated optimization problems.
    Źródło:
    Control and Cybernetics; 2020, 49, 1; 11-40
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimal design of cylindrical shells
    Autorzy:
    Nestler, Peter
    Schmidt, Werner
    Powiązania:
    https://bibliotekanauki.pl/articles/729263.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    linear elasticity
    shell theory
    cylindrical tube
    optimal control
    shape optimization
    Opis:
    The present paper studies an optimization problem of dynamically loaded cylindrical tubes. This is a problem of linear elasticity theory. As we search for the optimal thickness of the tube which minimizes the displacement under forces, this is a problem of shape optimization. The mathematical model is given by a differential equation (ODE and PDE, respectively); the mechanical problem is described as an optimal control problem. We consider both the stationary (time independent) and the transient (time dependent) case. P. Nestler derives the model-equations from the Mindlin and Reissner hypotheses. Then, necessary optimality conditions for the optimal control problem are given. Numerical solutions are obtained by FEM, numerical examples are presented.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2010, 30, 2; 253-267
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Structure of Optimal Control in Optimal Shaping of the Steel Arch
    Autorzy:
    Mikulski, Leszek
    Jasińska, Dorota
    Dąbrowska, Olga
    Powiązania:
    https://bibliotekanauki.pl/articles/27314818.pdf
    Data publikacji:
    2022
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    shape optimization
    optimal control
    steel arch
    shaping the cross-section
    optymalizacja kształtu
    optymalna kontrola
    łuk stalowy
    kształtowanie przekroju
    Opis:
    The paper presents the problem of optimal shaping of the H-bar cross-section of a steel arch that ensures minimal mass. Nineteen combinations of nine basic load states are considered simultaneously in the problem formulation. The optimal shaping task is formulated as a control theory problem within the formal structure of the maximum Pontriagin’s principle. Since the ranges of constraint activity defining the control structure are a priori unknown and must be determined numerically, assuming the proper control structure plays a key role in the task solution. The main achievement of the present work is the determination of a solution of the multi-decision and multi-constraint optimization problem of the arch constituting a primary structural system of the existing building assuring the reduction of the structure mass up to 42%. In addition, the impact of the assumed state constraint value on the solution structure is examined.
    Źródło:
    Civil and Environmental Engineering Reports; 2022, 32, 3; 143--165
    2080-5187
    2450-8594
    Pojawia się w:
    Civil and Environmental Engineering Reports
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Control problems for systems described by hemivariational inequalities
    Autorzy:
    Denkowski, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/206594.pdf
    Data publikacji:
    2002
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    konwergencja G i Gamma
    nierówność hemiwariacyjna
    operator pseudo-monotoniczny
    problem Boltza
    wielofunkcja
    wrażliwość
    zagadnienie poprawnie postawione
    zagadnienie sterowania
    Clarke subdifferential
    control problems (Bolza problem, identification of parameters, optimal shape design)
    G and Gamma convergence
    hemivariational inequalities
    multifunctions
    pseudo-monotone operators
    sensitivity
    well-posedness
    Opis:
    The paper considers some control problems for the systems described by the evolution, as well as the stationary hemivariational inequalities (HVIs for short). First, basing on surjectivity theorems for pseudo-monotone operators we formulate some existence results for the solutions of the HVIs and investigate some properties of the solution set (like sensitivity; i.e. its dependence on data and operators). Next we quote some existence theorems for optimal solutions for various classes of optimal control like distributed control (e.g. Bolza problem), identification of parameters, or optimal shape design for systems described by HVIs. Finally, we discuss some common features in getting the existence of optimal solutions as well as some "well-posedness" problems.
    Źródło:
    Control and Cybernetics; 2002, 31, 3; 713-738
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-5 z 5

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