Temat: dynamic equation - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: The Asymptotical Stability of a Dynamic System With Structural Damping
Autorzy:: Hou, X.
Powiązania:: https://bibliotekanauki.pl/articles/908219.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: matematyka
dynamic systems
evolution equation
asymptotic stability
Opis:: A dynamic system with structural damping described by partial differential equations is investigated. The system is first converted to an abstract evolution equation in an appropriate Hilbert space, and the spectral and semigroup properties of the system operator are discussed. Finally, the well-posedness and the asymptotical stability of the system are obtained by means of a semigroup of linear operators.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2003, 13, 2; 131-138
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Dynamic vibration extinguished on a viscously elastic base
Autorzy:: Ishmamatov, M.
Kulmuratov, N.
Khalilov, S.
Akhmedov, N.
Powiązania:: https://bibliotekanauki.pl/articles/1839871.pdf
Data publikacji:: 2021
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: tłumik dynamiczny
oscylacja
lepkosprężystość
dynamic damper
oscillations
viscoelastic plate
integro-differential equation
amplitude-frequency dependence
Boltzmann-Voltaire integral
Opis:: The aim of the work is to develop algorithms and a set of programs for studying the dynamic characteristics of viscoelastic thin plates on a deformable base on which it is installed with several dynamic dampers. The theory of thin plates is used to obtain the equation of motion for the plate. The relationship between the efforts and the stirred plate obeys in the hereditary Boltzmann Voltaire integral. With this, a system of integro-differential equations is obtained which is solved by the method of complex amplitudes. As a result, a transcendental algebraic equation was obtained to determine the resonance frequencies, which is solved numerically by the Muller method. To determine the displacement of the point of the plate with periodic oscillations of the base of the plate, a linear inhomogeneous algebraic equation was obtained, which is solved by the Gauss method. The amplitude - frequency response of the midpoint of the plate is constructed with and without regard to the viscosity of the deformed element. The dependence of the stiffness of a deformed element on the frequency of external action is obtained to ensure optimal damping of vibrational vibrations of the plate.
Źródło:: International Journal of Applied Mechanics and Engineering; 2021, 26, 2; 1-10
1734-4492
2353-9003
Pojawia się w:: International Journal of Applied Mechanics and Engineering
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: An Algorithm for Construction of varepsilon-Value Functions for the Bolza Control Problem
Autorzy:: Jacewicz, E.
Powiązania:: https://bibliotekanauki.pl/articles/908335.pdf
Data publikacji:: 2001
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: optymalizacja nieliniowa
sterowanie optymalne
nonlinear optimization
Bolza problem
optimal control
Hamilton-Jacobi equation
dynamic programming
varepsilon-value function
approximate minimum
Opis:: The problem considered is that of approximate numerical minimisation of the non-linear control problem of Bolza. Starting from the classical dynamic programming method of Bellman, an varepsilon-value function is defined as an approximation for the value function being a solution to the Hamilton-Jacobi equation. The paper shows how an varepsilon-value function which maintains suitable properties analogous to the original Hamilton-Jacobi value function can be constructed using a stable numerical algorithm. The paper shows the numerical closeness of the approximate minimum to the infimum of the Bolza functional.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2001, 11, 2; 391-428
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: A Method for Constructing ε-value Functions for The Bolza Problem of Optimal Control
Autorzy:: Pustelnik, J.
Powiązania:: https://bibliotekanauki.pl/articles/911140.pdf
Data publikacji:: 2005
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: optymalizacja nieliniowa
sterowanie optymalne
równanie Hamiltona-Jacobiego
programowanie dynamiczne
wartość funkcji
nonlinear optimization
Bolza problem
optimal control
Hamilton-Jacobi equation
dynamic programming
value function
approximate minimum
Opis:: The problem considered is that of approximate minimisation of the Bolza problem of optimal control. Starting from Bellman's method of dynamic programming, we define the ε-value function to be an approximation to the value function being a solution to the Hamilton-Jacobi equation. The paper shows an approach that can be used to construct an algorithm for calculating the values of an ε-value function at given points, thus approximating the respective values of the value function.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2005, 15, 2; 177-186
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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