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1
Content available Load by a force directed towards a positive pole in the aspect of studies on vibrations of a column with crack
Sokół K., Uzny S.
Vibrations in Physical Systems
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2016
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Vol. 27
325--332
EN
In this paper the results of numerical studies on natural vibration frequency and stability of a slender supporting system loaded by external force directed towards a positive pole are presented. In the investigated structure the failure in the form of crack is present. The boundary problem is formulated on the basis of the principle of minimum action – Hamilton’s principle. The results in the non-dimensional form are plotted as the characteristic curves in the external load – natural vibration frequency plane as well as the maximum loading capacity is discussed.
2
Content available Free vibrations of the partially tensioned geometrically non-linear system subjected to Euler’s load
Uzny S., Sokół K., Osadnik M.
Vibrations in Physical Systems
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2016
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Vol. 27
399--406
EN
In this study the fixed-fixed column subjected to axial Euler’s load has been investigated. The load is placed between the fixed ends of the structure and its location can be changed along column’s length. The boundary problem of free vibrations of the mentioned system has been formulated on the basis of Bernoulli – Euler theory and taking into account non-linear axial deformation relationship. Due to non-linear expressions the solution of the problem was done with small parameter method. In the paper the change of the first vibration frequency in relation to location and magnitude of the loading force was obtained. The relationship between natural vibration frequency and the amplitude is also discussed.
3
Content available Free vibrations of column subjected to Euler's load with consideration of Timoshenko's theory
Uzny S., Sokół K.
Vibrations in Physical Systems
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2014
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Vol. 26
319--326
EN
In this paper the single-rod cantilever column subjected to compressive Euler's load is investigated. The boundary problem has been formulated on the basis of Hamilton's principle and Timoshenko's theory. Numerical simulations of characteristic curves have been plotted on the plane external load-vibration frequency for different magnitudes of slenderness factor of the system. The results of numerical calculations of Timoshenko's beam are compared to the ones obtained from mathematical Bernoulli-Euler's model. The comparison of the results of characteristic curves calculated by means of Timoshenko's theory and Bernoulli-Euler's model are done for first three vibration frequencies.
4
Wpływ cech geometrycznych stojaków na charakterystyki podpornościowe sekcji obudowy zmechanizowanej
Jaszczuk M., Pawlikowski A.
Transport Przemysłowy i Maszyny Robocze
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2014
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Nr 4
64--68
PL
Charakterystyka podpornościowa sekcji obudowy zmechanizowanej zależy od cech geometrycznych sekcji, podporności wstępnej stojaków I podpory stropnicy [2, 3, 5], objętości cieczy w przestrzeniach roboczych siłowników hydraulicznych układu podpornościowego, wynikającej z Ich konstrukcji oraz wysokości użytkowania, a także od stopnia zapowietrzenia medium roboczego [7, 8, 9].
EN
The method of determination of props stiffness in relation to their structure there is presented in the paper. Comparison of stiffness characteristic curves of different prop solutions at the same range of longwall height is shown. These characteristics are basis of calculation of powered roof support units load under certain roof convergence. Analysis of obtained characteristics has proved that the set pressure of powered roof support unit under certain mining conditions should be done on basis of load characteristic curve, depending on props stiffness, structure of support unit and longwall height.
5
Konsekwencje niewłaściwego kierunku obrotów
Lorenz W. W., Szulc P.
Pompy, Pompownie
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2009
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nr 3 (134)
45-45
PL
Opis instalacji zasilanej przez układ pompowy, w którym pompy pracowały przy niewłaściwym kierunku obrotów i efektu dokonanej korekty w postaci nadmiernej wydajności.
EN
Installation was supplied from a pumping system, in which pumps rotated in wrong direction; after changing the direction capacity proved to be excessive.
6
Content available remote Cauchy problem for quasilinear hyperbolic systems with coefficients functionally dependent on solutions
Zdanowicz M., Peradzyński Z.
Archives of Mechanics
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2007
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Vol. 59, nr 2
173-197
EN
The cauchy problem for a quasilinear hyperbolic systems with coefficients functionally dependent on the solutions is studied. We assume that the coefficients are continuous nonlinear operators in the Banach space C1 (R) satisfying some additional assumptions. Under these assumptions we prove the uniqueness and existence of local in time C1 solutions, provided that the initial data are also of class C1.
7
Content available remote The principles of using the equigradient and reflection lines as the tools of surface continuity diagnosis
Putz B.
Machine Graphics and Vision
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2002
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Vol. 11, No. 1
21-36
EN
The paper presents new theorems about characteristic curves on the surface used as a shape smoothness diagnosis tool. First, general principles of examination of characteristic curves, treated as contour lines of a shape function, are presented. Two subsequent sections deal with properties of two most popular characteristic curves: equigradient lines and reflection lines. The theorems presented there are a theoretical background for evaluation of the surface continuity via of examination of these type of lines.
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