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    Wyświetlanie 1-9 z 9
    Tytuł:
    Free vibrations of column built out pipe and rod with two-parametric elastic connector
    Autorzy:
    Uzny, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/127780.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    column
    free vibrations
    elastic connector
    kolumna
    drgania swobodne
    łącznik elastyczny
    Opis:
    In this paper the geometrically nonlinear system subjected to compressive external Euler's load has been investigated. The column is composed of pipe and rod. The rod is concentrically installed in the pipe. Between pipe and rod at given distance from the end of the column the two-parametric elastic connector has been placed. The numerical calculations were performed for different parameters of the system on the basis of free vibration boundary problem. The parameters are as follows: spring stiffness (translational and rotational) which models elastic connector, coefficient of asymmetry flexural rigidity, location of the connector.
    Źródło:
    Vibrations in Physical Systems; 2014, 26; 311-318
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The vibrations and the stability of a flat frame type gamma realizing the Euler’s load taking into account the vulnerability of the structural node connecting the pole and the bolt of the system
    Autorzy:
    Szmidla, J.
    Wiktorowicz, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/127752.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    flat frame
    free vibrations
    Euler's load
    rama płaska
    drgania swobodne
    obciążenie eulerowskie
    Opis:
    The paper presents the results of theoretical research and numerical calculations of the vibration and the stability of a twin rod flat frame subjected to the Euler's load. Considering the total mechanical energy of the system and using the kinematic stability criterion (Hamilton's principle) is determined by the equations of motion and boundary conditions considered system. The results of numerical calculations are presented at selected geometrical and physical parameters in the system for selected values of the rotary spring stiffness modeling the structural rigidity of the node connecting bolt with the column of frame.
    Źródło:
    Vibrations in Physical Systems; 2014, 26; 297-304
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Impact of pre-stress on stability and vibration of geometric nonlinear column at a load force directed to the positive pole
    Autorzy:
    Szmidla, J.
    Cieślińska-Gąsior, I.
    Powiązania:
    https://bibliotekanauki.pl/articles/127836.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    free vibrations
    geometrically non-linear system
    prestressing
    drgania swobodne
    układ geometrycznie nieliniowy
    sprężanie
    Opis:
    The subject of the results of theoretical and numerical studies measures to designate the effect of pre-stress on the vibration of geometrically non-linear column exposed to the load force directed to the positive pole. Considering the total mechanical energy of the system the equation of motion and the boundary conditions necessary to solve the boundary problem were determined. Based on the kinetic stability criterion the range of values of internal compression forces was determined in which the growth of critical load of the column above the local loss of stability was achieved. In the research the geometrically non-linear system was analysed with variable asymmetry of bending stiffness and at selected values of geometrical parameters of the head realizing the load.
    Źródło:
    Vibrations in Physical Systems; 2014, 26; 289-296
    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:
    Free vibrations of the column taking into account compressive and thermal load
    Autorzy:
    Uzny, Sebastian
    Kutrowski, Łukasz
    Skrzypczak, Tomasz
    Powiązania:
    https://bibliotekanauki.pl/articles/127746.pdf
    Data publikacji:
    2019
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    free vibrations
    Euler’s load
    heat source
    column
    drgania swobodne
    obciążenie Eulera
    źródło ciepła
    słup
    Opis:
    Free vibrations of slender systems are the subject of many scientific and research works. In this work, the boundary problem of free vibrations of a compressed column, which is additionally heat loaded, is considered. The issue of heat flow in the column is solved using the Finite Element Method. Averaged distribution of material properties is obtained in individual segments of the column in subsequent heating times. The mathematical model of free vibrations takes into account the thermal expansion of the material and the effect of changing the Young's modulus resulting from the effect of heat load. The boundary problem of the free vibrations of the considered system is limited to the linear range (the linear component of natural frequency is considered). The influence of the heat source exposure time on the course of characteristic curves (on the plane: load – natural frequency) is determined. The results are presented for various column diameters.
    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:
    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:
    Vibrations of periodic sandwich plates with inert core
    Autorzy:
    Marczak, J.
    Jędrysiak, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/128072.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    periodic sandwich plates
    inert core
    tolerance averaging
    free vibrations
    microstructure effect
    płyty warstwowe
    tolerancyjne uśrednianie
    drgania własne
    drgania swobodne
    efekt mikrostruktury
    Opis:
    In this note a free vibration analysis of periodic three-layered sandwich structures is performed. The equations of motion of such structures, which are derived basing on Kirchhoff's thin plate theory, contain periodic, non-continuous and highly oscillating coefficients, which makes them difficult to solve. In this work, the tolerance averaging technique is applied in order to transform the mentioned system of equations into a form with constant coefficients, which takes into account the effect of the microstructure size. The differences between two modelling procedures are shown and discussed. Eventually, formulas for free vibration frequencies of an exemplary 2D structure are derived and an analysis of influence of certain varying material properties is performed.
    Źródło:
    Vibrations in Physical Systems; 2016, 27; 265-272
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Free vibrations of microstructured functionally graded plate band with clamped edges
    Autorzy:
    Kaźmierczak-Sobińska, Magda
    Jędrysiak, Jarosław
    Powiązania:
    https://bibliotekanauki.pl/articles/2146632.pdf
    Data publikacji:
    2021
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    thin functionally graded plate band
    microstructure
    free vibrations
    tolerance modelling
    pasmo płytowe
    płyty cienkie o funkcyjnej gradacji własności
    mikrostruktura
    drgania własne
    modelowanie tolerancyjne
    Opis:
    In this paper there are presented free vibrations of thin functionally graded plate band. This kind of plates has tolerance-periodic microstructure on the microlevel in planes parallel to the plate midplane. Dynamic problems of plates of this kind are described by partial differential equations with highly oscillating, tolerance-periodic, non-continuous coefficients. Thus, there are proposed here two models describing these plates by equations with smooth, slowly-varying coefficients. As an example there are analyses of free vibration frequencies for thin functionally graded plate band clamped on both edges. Using the known Ritz method the frequencies are obtained in the framework of proposed two models - the tolerance model and the asymptotic model.
    Źródło:
    Vibrations in Physical Systems; 2021, 32, 2; art. no. 2021216
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Free vibrations of column subjected to Euler's load with consideration of Timoshenko's theory
    Autorzy:
    Uzny, S.
    Sokół, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/128238.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    column
    Timoshenko's theory
    Bernoulli-Euler's theory
    free vibrations
    kinetic criterion of stability
    divergence instability
    characteristic curves
    kolumna
    teoria Timoshenki
    teoria Bernoulliego-Eulera
    drgania swobodne
    kinetyczne kryterium stateczności
    niestateczność dywergencyjna
    krzywe charakterystyczne
    Opis:
    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.
    Źródło:
    Vibrations in Physical Systems; 2014, 26; 319-326
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-9 z 9

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