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    Wyświetlanie 1-10 z 10
    Tytuł:
    Nonlinear vibrations of rotating system near resonance
    Autorzy:
    Starosta, R.
    Sypniewska-Kamińska, G.
    Powiązania:
    https://bibliotekanauki.pl/articles/128157.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    nonlinear vibrations
    asymptotic methods
    resonance
    drgania nieliniowe
    metoda asymptotyczna
    rezonans
    Opis:
    The paper concerns analysis of nonlinear vibration of the rotating system consisted of two disks and shaft. The analytical multiple time scale method is applied to the analysis dynamics of the system near main resonance. The transition phenomenon depending on the value of the nonlinearity parameter is discussed. All the analytical results have been confirmed numerically.
    Źródło:
    Vibrations in Physical Systems; 2014, 26; 265-272
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Regular and chaotic dynamics of a 4-DOF mechanical system with dry friction
    Autorzy:
    Kosińska, A.
    Awrejcewicz, J.
    Grzelczyk, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/950423.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    periodicity
    quasiperiodicity
    chaos
    hyperchaos
    non-regular vibrations
    okresowość
    quasi-okresowość
    hiperchaos
    drgania nieliniowe
    Opis:
    In this paper the model of four degree-of-freedom mechanical sliding system with dry friction is considered. One of the components of the mentioned system rides on driving belt, which is driven at constant velocity. This model corresponds to a row of carriage laying on a guideway, which moves at constant velocity with respect to the guideway as a foundation. From a mathematical point of view the analyzed problem is governed by four second order differential equations of motion, and numerical analysis is performed in Mathematica software. Some interesting behaviors are detected and reported using Phase Portraits, Poincaré Maps and Lyapunov Exponents. Moreover, Power Spectral Densities obtained by the Fast Fourier Transform technique are reported. The presented results show different behaviors of the system, including periodic, quasi-periodic and chaotic orbits.
    Źródło:
    Vibrations in Physical Systems; 2016, 27; 195-202
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Nonlinear vibrations of periodic beams
    Autorzy:
    Domagalski, Ł.
    Jędrysiak, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/127716.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    nonlinear vibrations
    periodic beams
    tolerance modelling
    drgania nieliniowe
    belka o strukturze periodycznej
    modelowanie tolerancyjne
    Opis:
    Geometrically nonlinear vibrations of beams with properties periodically varying along the axis are investigated. The tolerance method of averaging differential operators with highly oscillating coefficients is applied to obtain the governing equations with constant coefficients. The proposed model describes the dynamics of the beam with the effect of the microstructure size.
    Źródło:
    Vibrations in Physical Systems; 2014, 26; 73-78
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Non-linear vibrations of a non-uniform beam with symmetrically located piezoelectric patches
    Autorzy:
    Kuliński, K.
    Przybylski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/128218.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    non-linear vibrations
    piezoactuator
    amplitude-frequency relation
    Winkler foundation
    drgania nieliniowe
    piezoaktuator
    podłoże Winklera
    Opis:
    In this paper the non-linear vibration behaviour and its modification due to the piezoelectric actuation of a beam with varying cross section and resting on an elastic foundation has been discussed. Due to assumed end conditions the stretching force emerges during the system vibrations. That force can be modified by an axial residual force to enhance or reduce the value of vibrations frequency of the beam. The system is divided onto three segments with the central segment consisted of the core beam and two colocally and perfectly bonded piezo patches. In order to obtain the approximate solutions of the non-linear frequency of the systems the Lindstedt-Poincare method has been utilized. Vast number of numerical results shows that not only the structural parameters of the system have significant effect on its non-linear vibration behaviour at a given amplitude but also the residual force and the elastic foundation modulus.
    Źródło:
    Vibrations in Physical Systems; 2016, 27; 203-210
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An analytical-numerical approach to analysis of large amplitude vibrations of slender periodic beams
    Autorzy:
    Domagalski, Ł.
    Powiązania:
    https://bibliotekanauki.pl/articles/127691.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    nonlinear vibrations
    periodic beams
    averaging
    tolerance modelling
    drgania nieliniowe
    belka o strukturze periodycznej
    uśrednianie
    modelowanie tolerancyjne
    Opis:
    The paper is devoted to analysis of geometrically nonlinear vibrations of beams with geometric and material properties periodically varying along the axis. The 1-D Euler-Bernoulli theory of beams with von Kármán nonlinearity is applied. An analytical-numerical model based on non-asymptotic tolerance modelling approach and Galerkin method is applied. The linear natural frequencies and mode shapes are determined and the results are confirmed by comparison with a finite element model. Forced damped vibrations analysis in the large deflection range is performed to illustrate complex behaviour of the system.
    Źródło:
    Vibrations in Physical Systems; 2016, 27; 99-106
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Natural frequencies of layered elongated cylindrical panels for geometrically nonlinear deformation at discrete consideration of components
    Autorzy:
    Marchuk, M.
    Goriachko, T.
    Pakosh, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/128246.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    elongated layered panel
    nonlinear vibrations
    perturbation method
    natural frequencies
    panele podłużne
    drgania nieliniowe
    metoda perturbacji
    częstotliwość drgań własnych
    Opis:
    The proposed and verified the technique of finding a finite number of first natural frequencies for geometrically nonlinear vibrations of layered elongated cylindrical panels at discrete consideration of components. The influence of the radius of curvature on the natural frequencies of three- and five-layered panels is investigated. The dependence between the volume of filler three-layer panels and the lowest natural frequency has been established.
    Źródło:
    Vibrations in Physical Systems; 2016, 27; 255-264
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Nonlinear dynamic phenomena in fixed and rotating mechanical structures
    Autorzy:
    Warmiński, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/127654.pdf
    Data publikacji:
    2018
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    nonlinear vibrations
    rotating structures
    resonance
    saturation control
    composite beams
    drgania nieliniowe
    struktury wirujące
    rezonans
    kontrola saturacji
    belka kompozytowa
    Opis:
    A review of selected nonlinear phenomena which may occur in fixed or rotating structures has been presented in the paper. At first, a self, parametrically and externally exited oscillator with added time delay control has been studied. It has been shown that the interaction between different vibration types may produce an untypical resonance curve, with five solutions occurring, observed by an internal resonance loop. The existence of the loop may be controlled by adding a time delay input signal. A proper selection of the time delay may reduce the loop or eliminate it totally. In the second problem a rotating hub-beam structure has been studied. The blade, apart from passive layers, has been composed of two active PZT layers which enabled active vibration control. A nonlinear coupling of the structure (plant) and the controller resulted in the so called saturation phenomenon which has been effectively used for the vibration reduction.
    Źródło:
    Vibrations in Physical Systems; 2018, 29; 1-6
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Tolerance modelling of nonstationary problems of microheterogeneous media and structures
    Autorzy:
    Jędrysiak, J.
    Domagalski, Ł.
    Marczak, J.
    Pazera, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/128176.pdf
    Data publikacji:
    2018
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    microheterogeneous media
    microheterogeneous structure
    tolerance modelling
    non-stationary problems
    nonlinear vibrations
    microstructure effect
    ośrodki mikroheterogeniczne
    struktury mikroheterogeniczne
    modelowanie tolerancyjne
    problemy niestacjonarne
    drgania nieliniowe
    efekt mikrostruktury
    Opis:
    In this note a certain review of applications of a non-asymptotic modelling approach, called the tolerance modelling, is presented. Some objects and thermomechanical problems are shown, with a general outline of this method and an example of application for nonlinear vibrations of periodic beams.
    Źródło:
    Vibrations in Physical Systems; 2018, 29; 1-23
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Mathematical model and method of determination of amplitude-frequency characteristics of corrugated cylindrical shells for geometrically nonlinear vibrations
    Autorzy:
    Marchuk, Mykhailo
    Goriachko, Taras
    Kindratskyy, Bohdan
    Pakosh, Vira
    Powiązania:
    https://bibliotekanauki.pl/articles/2146612.pdf
    Data publikacji:
    2020
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    corrugated shell
    geometrically nonlinear vibrations
    mathematical model
    generalized method of perturbations
    amplitude-frequency characteristics
    powłoka falista
    drgania geometrycznie nieliniowe
    model matematyczny
    uogólniona metoda perturbacji
    charakterystyka amplitudowo-częstotliwościowa
    Opis:
    On the basis of spatial geometrically nonlinear theory of elasticity by using quadratic approximations for components of the vector of displacements along the normal coordinate to the median surface is developed a new mathematical model of nonlinear dynamics of cylindrical shells with corrugated configuration for median surface. The perturbation method for the solution of systems of nonlinear differential equations for problems of determination of amplitude-frequency characteristics is generalized. In a combination of finite element and generalized perturbations methods, a new methodology for solving problems of free geometrically nonlinear vibrations of shells with complex guide geometry was developed and verified. With its help the influence of geometrical parameters of corrugating at circular coordinate on the main frequency of the elongated cylindrical panel is investigated.
    Źródło:
    Vibrations in Physical Systems; 2020, 31, 3; art. no. 2020316
    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
      Wyświetlanie 1-10 z 10

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