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    Wyświetlanie 1-7 z 7
    Tytuł:
    An influence of the geometrical nonlinearity of a frame column of flat frame type Γ subjected to the follower force directed towards the positive pole on its stability
    Autorzy:
    Szmidla, J.
    Wiktorowicz, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/122711.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    stability
    slender systems
    bifurcation load
    stabilność
    układy smukłe
    obciążenia bifurkacji
    Opis:
    The results of the theoretical and numerical research for the purpose of designation of local and global instability areas of a rectangular frame with a geometrically nonlinear frame column subjected to the follower force directed towards the positive pole are presented in this work. Taking into consideration the total potential energy of an analysed system, the equations describing transverse and longitudinal movements and the boundary conditions necessary for the problem solution are formulated. On the basis of the static criterion of the loss of stability, the influences of the variable flexural stiffness of the system and the geometrical and physical parameters of the flat frame on the value of the bifurcation load are obtained. The results of numerical computations are compared with appropriate values of critical load of the comparative system.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 3; 155-165
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An influence of the Winkler elastic foundation of a geometrically nonlinear column loaded by force directed towards the positive pole on a type of system
    Autorzy:
    Jurczyńska, A.
    Szmidla, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/122988.pdf
    Data publikacji:
    2015
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    slender systems
    Winkler elastic foundation
    stability
    free vibrations
    podłoże Winklera
    stabilność
    drgania swobodne
    Opis:
    Depending on the mutual relation between external load, tendon’s length parameter resulting from the direction of loading force and the free vibration frequency parameter, the slope of characteristic curves of a considered column subjected to force directed towards the positive pole can take the negative, zero and positive value. The purpose of this paper is to determine the criterion that allows for classification of an analysed structure to divergent or divergent pseudo-fluttering type of system. On the basis of obtained formulas, the ranges of parameters describing the Winkler elastic foundation for which the considered system may be classified as one of the abovementioned types were determined.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 4; 79-91
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Free vibrations of non-prismatic slender system subjected to the follower force directed towards the positive pole
    Autorzy:
    Szmidla, J.
    Jurczyńska, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/128206.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    slender systems
    non-prismatic systems
    free vibrations
    specific load
    układy smukłe
    układy niepryzmatyczne
    drgania swobodne
    obciążenie swoiste
    Opis:
    The paper contains the results of theoretical and numerical studies within the scope of kinetic criterion of stability loss of slender non-prismatic column subjected to the follower force directed towards the positive pole (the case of specific load). Shape of the system approximation by a linear function and polynomial of degree 2 was considered. On the basis of the Bernoulli – Euler’s theory, the mechanical energy was defined. The differential equations of motion and natural boundary conditions were determined according to the Hamilton’s principle. The issue of free vibrations was solved using the small parameter method. Within the range of numerical calculations, the changes in the eigenvalues were presented as a function of external load with variable geometrical parameters of the system, including parameters resulting from the shape approximation and parameters of loading structure.
    Źródło:
    Vibrations in Physical Systems; 2016, 27; 365-368
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Numerical studies on stability of slender supporting structures
    Autorzy:
    Sokół, K.
    Uzny, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/122373.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    stability
    cracks
    bifurcation load
    slender systems
    column
    stabilność
    pękanięcia
    obciążenia bifurkacji
    systemy smukłe
    kolumna nieliniowa
    Opis:
    In this paper the results of studies on stability of the geometrically non-linear column (slender system) composed of two rods have been presented. The supporting structure has a defect in the form of cracks which are present in each of rods. The cracks are simulated by means of rotational springs. On the basis of the total potential energy principle, the boundary problem is being formulated. The results show an influence of the crack size on the stability of the column in particular on bifurcation load magnitude.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 2; 157-165
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Free vibrations of geometrically nonlinear column locally resting on the winkler elastic foundation under the specific load
    Autorzy:
    Szmidla, J.
    Cieślińska-Gąsior, I.
    Powiązania:
    https://bibliotekanauki.pl/articles/128264.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    frequency of free vibrations
    Winkler elastic foundation
    slender systems
    częstotliwość drgań własnych
    sprężyste podłoże Winklera
    układy smukłe
    Opis:
    The results of theoretical and numerical studies concerning continuous system subjected to the follower force directed towards the positive pole, locally resting on Winkler elastic foundation are presented in this paper. The load by follower force directed towards the positive pole is guaranteed by loading structure built of loading and receiving heads made of elements of circular outlines. Abovementioned heads are real constructions, used in experimental research of continuous systems. Taking into account total mechanical energy of the system, the Hamilton’s principle and the small parameter method, the differential equations of motion and boundary conditions of the considered column were determined. On the basis of a solution of the issue of dynamics of the system, an appropriate formulas were formulated and then the trajectory of curves on the plane frequency of free vibrations – the value of external load were calculated taking into considerations physical and geometrical parameters of the structure, including parameter of loading head and parameters describing Winkler elastic foundation.
    Źródło:
    Vibrations in Physical Systems; 2016, 27; 355-362
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Nonlinear vibrations of the partially tensioned system taking into account the asymmetry of the stiffness of supports
    Autorzy:
    Uzny, Sebastian
    Osadnik, Michał
    Powiązania:
    https://bibliotekanauki.pl/articles/128293.pdf
    Data publikacji:
    2019
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    slender nonlinear systems
    free vibrations
    Euler’s load
    nieliniowe układy smukłe
    drgania swobodne
    obciążenie Eulera
    Opis:
    The nonlinear vibrations of the partially tensioned slender column are presented in this paper. The considered system is subjected to Euler’s load, which direction of action is consistent with the non-deformed axis of the column. The magnitude of the external load is variable and its application point is located at different heights between the upper and lower supports. In addition, the longitudinal displacement and rotation of both of the system ends are limited by the discrete elements in the form of translational and rotational springs. This nonlinear system is based on the screw drive used in the vertical lift platform for disabled people or cargo lift equipped with an engine room located in the lower part of the frame. The boundary problem of free vibrations of the mentioned system has been formulated on the basis of Bernoulli - Euler theory and due to nonlinear expressions the solution of the problem was conducted with small parameter method. The results of numerical simulations are concern on linear and nonlinear component of vibrations in relation to the location of external load application and influence of asymmetric value of supports stiffness on the free vibration frequency.
    Źródło:
    Vibrations in Physical Systems; 2019, 30, 2; 1-8
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Nonlinear component of free vibration frequency of a partially tensioned system with consideration of rotational stiffness of support
    Autorzy:
    Uzny, Sebastian
    Osadnik, Michał
    Powiązania:
    https://bibliotekanauki.pl/articles/122407.pdf
    Data publikacji:
    2019
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    slender nonlinear systems
    amplitude of vibrations
    Euler’s load
    układ smukły
    amplituda wibracji
    obciążenie Eulera
    Opis:
    The nonlinear vibrations of a slender system subjected to Euler’s load which is partially tensioned is discussed in this paper. The longitudinal displacement and rotation on both of the system ends are limited by the discrete elements in the form of translational and rotational springs. The results of numerical simulations concern the first vibration frequency (linear and non-linear components) in relation to the location and magnitude of external load application and different rotational spring stiffness. This nonlinear system is based on the screw drive used in the newly designed vertical platform lifts.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 3; 89-96
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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