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    Wyświetlanie 1-14 z 14
    Tytuł:
    Free vibrations of medium thickness microstructured plates
    Autorzy:
    Jędrysiak, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/128089.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    medium thickness functionally graded plates
    microstructure
    tolerance modelling
    płyty o funkcyjnej gradacji własności
    mikrostruktura
    modelowanie tolerancyjne
    Opis:
    A problem of free vibrations of medium thickness microstructured plates, which can be treated as made of functionally graded material on the macrolevel is presented. The size of the microstructure of these plates is of an order of the plate thickness. Averaged governing equations of these plates can be obtained using the tolerance modelling technique, cf. [18, 19, 9]. Because, the derived tolerance model equations have the terms dependent of the microstructure size, this model describes the effect of the microstructure size. Results can be evaluated introducing the asymptotic model. Calculated results can be compared to those from the finite element method or a similar tolerance model of thin plates, cf. [9].
    Źródło:
    Vibrations in Physical Systems; 2016, 27; 169-174
    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:
    Higher order vibrations of thin periodic plate bands with various boundary conditions
    Autorzy:
    Jędrysiak, J.
    Wyrwa, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/127710.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    periodic plates
    effect of microstructure size
    higher order vibrations
    tolerance modelling
    płyty periodyczne
    rozmiar mikrostruktury
    drgania wyższego rzędu
    modelowanie tolerancyjne
    Opis:
    In this contribution there are considered thin periodic plates. The tolerance averaging method, cf. [12, 13, 4], is applied to model problems of vibrations of these plates. Hence, the effect of the microstructure size is taken into account in model equations of the tolerance model. Calculations are made for periodic plate bands using this model and the asymptotic model for various boundary conditions.
    Źródło:
    Vibrations in Physical Systems; 2016, 27; 181-186
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Free vibrations of thin microstructured plates
    Autorzy:
    Jędrysiak, J.
    Pazera, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/128140.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    thin functionally graded plates
    microstructure
    tolerance modelling
    cienkie płyty gradientowe
    mikrostruktura
    modelowanie tolerancyjne
    Opis:
    In this paper it is presented a problem of free vibrations of thin microstructured plates, which can be treated as made of functionally graded material on the macrolevel. The size of the microstructure of the plates is of an order of the plate thickness. In order to obtain averaged governing equations of these plates the tolerance modelling technique is applied, cf. [14, 15, 7]. The derived tolerance model equations have the terms dependent of the microstructure size. Hence, the tolerance model describes the effect of the microstructure size. In order to evaluate results, the asymptotic model is introduced. Obtained results can be compared to those calculated by using the finite element method.
    Źródło:
    Vibrations in Physical Systems; 2014, 26; 93-98
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Effect of temperature on vibrations of laminated layer
    Autorzy:
    Pazera, E.
    Jędrysiak, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/128258.pdf
    Data publikacji:
    2018
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    thermoelasticity
    vibrations
    non-periodic laminate
    tolerance averaging technique
    termosprężystość
    drgania
    laminaty o strukturze nieperiodycznej
    technika tolerancyjnego uśredniania
    Opis:
    In this note the influence of temperature on vibrations of laminated layer made of two different materials is presented. The macroscopic properties of this layer are changing continuously along one direction x1, perpendicular to the laminas. To obtain the equations describing this problem, the tolerance averaging technique is used [1]. In this work, three models are proposed: the tolerance and the asymptotic-tolerance model, taking into account the effect of the microstructure size on the overall behaviour of this type of structures, and the asymptotic model, which equations omit this effect. To solve the equations of these three models the finite difference method is used.
    Źródło:
    Vibrations in Physical Systems; 2018, 29; 1-8
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analysis of vibrations of plate strip with concentrated masses using tolerance averaging technique
    Autorzy:
    Marczak, J.
    Jędrysiak, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/127860.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    periodic plate strips
    vibrations
    tolerance averaging technique
    płyta periodyczna
    drgania
    technika tolerancyjnego uśredniania
    Opis:
    In this note vibrations of thin periodic plate strips with periodically distributed system of two concentrated masses are analysed. Moreover, it is assumed that every concentrated mass is connected to a string, which cause the effect of damping in vibrations. Governing equation for such structure is defined as a differential equation with highly oscillating, periodic and non-continuous coefficients. In order to solve the equation, tolerance averaging technique is applied. As a result, governing equations with constant coefficients are obtained. In an example, derived model is used to calculate lower and higher frequencies of the travelling wave related to the internal periodic structure.
    Źródło:
    Vibrations in Physical Systems; 2014, 26; 161-168
    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:
    Vibrations of non-periodic thermoelastic laminates
    Autorzy:
    Jędrysiak, J.
    Pazera, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/128195.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    nonperiodic laminates
    thermoelasticity
    vibrations
    microstructure
    tolerance modelling
    laminaty o strukturze nieperiodycznej
    termosprężystość
    drgania
    mikrostruktura
    modelowanie tolerancyjne
    Opis:
    Vibrations of non-periodic thermoelastic laminates, which can be treated as made of functionally graded material with macroscopic properties changing continuously along direction, x1, perpendicular to the laminas on the macrolevel are considered. Three models of these laminates are presented: the tolerance, the asymptotic-tolerance and the asymptotic. Governing equations of two first of them involve terms dependent of the microstructure size. Hence, these models (the tolerance, the asymptotic-tolerance) describe the effect of the microstructure. Averaged governing equations of these laminates can be obtained using the tolerance modelling technique, cf. Jędrysiak [1]. Because the model equations have functional, but slowly-varying coefficients calculations for examples can be made numerically or by using approximated methods.
    Źródło:
    Vibrations in Physical Systems; 2016, 27; 175-180
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Vibrations of thin functionally graded plates with tolerance-periodic microstructure
    Autorzy:
    Kaźmierczak-Sobińska, M.
    Jędrysiak, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/127924.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    thin functionally graded plates
    tolerance-periodic microstructure
    tolerance modelling
    cienkie płyty gradientowe
    mikrostruktura periodyczna
    modelowanie tolerancyjne
    Opis:
    This paper presents a problem of vibrations of thin functionally graded plates. To describe this kind of plates three averaged models are proposed: a tolerance model, an asymptotic model and a combined asymptotictolerance model, cf. [10]. Calculational results obtained for a functionally graded plate band using the proposed models are compared to each other.
    Źródło:
    Vibrations in Physical Systems; 2014, 26; 99-104
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Nonlinear vibrations of a slender beam interacting with a periodic viscoelastic subsoil
    Autorzy:
    Świątek, M.
    Jędrysiak, J.
    Domagalski, Ł.
    Powiązania:
    https://bibliotekanauki.pl/articles/127930.pdf
    Data publikacji:
    2018
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    periodic beams
    Euler-Bernoulli beam
    belka o strukturze periodycznej
    belka Bernoulliego-Eulera
    Opis:
    The paper describes nonlinear vibrations of Euler-Bernoulli beams interacting with a periodic viscoelastic foundation. The original model equations with highly oscillating periodic coefficients are transformed using the tolerance modelling technique. Newly delivered equations have constant coefficients and describe macro-dynamics of the beam including the effect of the microstructure size. The main purpose of this paper is to propose an equivalent approximate model describing the nonlinear vibrations of a beam interacting with a periodic viscoelastic subsoil.
    Źródło:
    Vibrations in Physical Systems; 2018, 29; 1-9
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A study on natural frequencies of Timoshenko beam with rapidly varying stiffness
    Autorzy:
    Świątek, M.
    Domagalski, Ł.
    Jędrysiak, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/128104.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    beam vibrations
    periodic beams
    tolerance modelling
    drgania belki
    belka o strukturze periodycznej
    modelowanie tolerancyjne
    Opis:
    Vibrations of Timoshenko beams with properties periodically varying along the axis are under consideration. The tolerance method of averaging differential operators with highly oscillating coefficients is applied to obtain the governing equations with constant coefficients. The dynamics of Timoshenko beam with the effect of the cell length is described. A asymptotic model is then constructed, which is further studied in analysis of the low order natural frequencies. The proposed model is able to describe dynamics of beams made of non-slender cells.
    Źródło:
    Vibrations in Physical Systems; 2016, 27; 369-376
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Influence of substructure properties on natural vibrations of periodic Euler-Bernoulli beams
    Autorzy:
    Świątek, M.
    Jędrysiak, J.
    Domagalski, Ł.
    Powiązania:
    https://bibliotekanauki.pl/articles/127865.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    periodic beams
    Euler-Bernoulli beam
    belka o strukturze periodycznej
    belka Bernoulliego-Eulera
    Opis:
    In this paper there are considered vibrations of Euler-Bernoulli beams with geometrical and material properties periodically varying along the axis. The basic exact equations with highly oscillating periodic coefficients are replaced by the system of averaged equations with constant coefficients. The new model is based on the tolerance modelling technique, which describes macro-dynamics of the beam including the effect of the microstructure size. The purpose of this paper is to present an approximately equivalent model, which describe vibrations of periodic beams taking into account length of the periodicity cell.
    Źródło:
    Vibrations in Physical Systems; 2016, 27; 377-384
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Linear vibrations of periodic Timoshenko and Rayleigh beams
    Autorzy:
    Świątek, M.
    Jędrysiak, J.
    Domagalski, Ł.
    Powiązania:
    https://bibliotekanauki.pl/articles/128101.pdf
    Data publikacji:
    2018
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    periodic beams
    Timoshenko beams
    Rayleigh beam
    belka o strukturze periodycznej
    belka Timoshenki
    belka Rayleigha
    Opis:
    Elastic periodic structures with variable material and geometrical properties exhibit dynamic characteristics that are investigated in this contribution. The paper is devoted to analysis of geometrically linear vibrations of Rayleigh and Timoshenko beams with cross-sections and material properties periodically varying along the longitudinal axis. The period of inhomogeneity is assumed to be sufficiently small when compared to the beam length. Equations of motion in both beam theories under consideration have highly-oscillating coefficients. In order to derive the averaged model equations with constant coefficients for vibrations, the tolerance averaging approach is applied. The method of averaging differential operators with rapidly varying coefficients is applied to obtain averaged governing equations with constant coefficients. An assumed tolerance and indiscernibility relations and the definition of slowly varying function found the applied technique. Numerical results from the tolerance Rayleigh and Timoshenko beam model equations are compared.
    Źródło:
    Vibrations in Physical Systems; 2018, 29; 1-7
    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
      Wyświetlanie 1-14 z 14

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