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Ruch cieczy w zbiorniku w ruchu obrotowym

Trębacki K., Królicka A.

Autobusy : technika, eksploatacja, systemy transportowe

2016

R. 17, nr 10

92--96

W artykule omówiony został ruch ładunku płynnego w zbiorniku podczas obrotu. Przeprowadzono analizę teoretyczną wg teorii liniowej i nieliniowej. Wyznaczono potencjał prędkości cieczy i na tej podstawie funkcję ciśnienia w dowolnym punkcie objętości cieczy w zbiorniku. Podano wykresy obciążeń ścianek zbiornika od cieczy wg obydwu teorii.

The article discussed a motion of liquid cargo in tank during rotation. The conducted are of theoretical analysis according linear and non-linear theory. Was designated the potential of velocity of the liquid and on the basis of pressure function at any point liquid of volume in tank. Are given of load charts walls of tank of liquid according to both theories.

Ruch cieczy w zbiorniku poziomym

Trębacki K., Królicka A.

Autobusy : technika, eksploatacja, systemy transportowe

2016

R. 17, nr 10

97--102

W artykule omówiony został ruch poziomy zbiornika wypełnionego cieczą. Wymieniono przyczyny ruchu cieczy w zbiorniku. Dokonano analizy wg teorii liniowej i nieliniowej. Wyznaczono częstości drgań własnych. Na podstawie teorii liniowej i nieliniowej wyznaczono funkcję potencjału prędkości Φ i powierzchni swobodnej η. Podano rozkłady ciśnień hydrodynamicznych na ściankach zbiornika.

The article discussed a horizontal motion of tank filled with liquid. Discussed a causes of motion of liquid in the tank. Were made analysis by the theory of linear and nonlinear. In article the given of frequency of vibration. On the basis of theory of linear and nonlinear function are determined velocity potential and free surface. Given of distributions of hydrodynamic pressure on the walls of tank.

Simplified approach of free vibration analysis of plates supported in vicinity of the corners by BEM

Guminiak M.

Journal of Applied Mathematics and Computational Mechanics

2013

Vol. 12, nr 1

45--54

Free vibration analysis of Kirchhoff plate by the Boundary Element Method is presented in the paper. The boundary integral equation are derived according to the Bettie theorem. The collocation version of BEM with non-singular approach with one and double collocation points is used. The constant type of element is introduced. Boundary suport at selected point is modelled as support in vicinity of point along single boundary element.

Water wave scattering by two thin symmetric inclined plates submerged in finite depth water

Gayen R., Mandal B. N.

International Journal of Applied Mechanics and Engineering

2003

Vol. 8, no 4

589-601

Water wave scattering by two thin symmetric plates submerged in water of uniform finite depth is investigated here assuming the linear theory. The problem is formulated in terms of two hypersingular integral equations involving the discontinuities in the symmetric and antisymmetric potential functions describing the motion in the fluid, across one of the plates. These are solved approximately by an expansion-cum-collocation method in which the unknown discontinuities across a plate are approximated by a finite series involving Chebyshev polynomials of the second kind. The reflection and transmission coefficients are then obtained numerically. The numerical results for the reflection coefficient are depicted graphically against the wave number for different configurations of the plates. It is observed that if the depth of submergence of the mid points of the plates below the free surface is of the order of one-tenth of the depth of the water bottom, then the deep water results effectively hold good. Also known results for two thin vertical plates, a single vertical plate are recovered as special cases.

Regularity of solutions of nonlinear parabolic equations

Napiórkowska J.

Demonstratio Mathematica

2001

Vol. 34, nr 3

593-608