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Wyszukujesz frazę "elastic stiffness matrix" wg kryterium: Temat

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    Wyświetlanie 1-6 z 6
    Tytuł:
    Torsion of restrained thin-walled bars of open constant bisymmetric cross-section
    Autorzy:
    Kujawa, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1933993.pdf
    Data publikacji:
    2012
    Wydawca:
    Politechnika Gdańska
    Tematy:
    thin-walled bars
    elastic stiffness matrix
    geometric stiffness matrix
    restrained torsion
    Castigliano’s method
    torsional buckling
    Opis:
    Elastic and geometric stiffness matrices were derived using Castigliano’s first theorem, for the case of torsion of restrained thin-walled bars of open constant bisymmetric cross-section. Functions which describe the angles of torsion were adopted from the solutions of the differential equation for restrained torsion. The exact solutions were simplified by expanding them in a power series. Numerical examples were taken from Kujawa M 2009 Static and Sensitivity Analysis of Grids. . . 97, GUT Publishing House, and Szymczak C 1978 Engineering Transaction 26 323. Convergence of the solutions was analyzed using the matrices derived for torsion angles, warping, bimoments and critical forces.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2012, 16, 1-2; 5-15
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Distorsional analysis of I-section beam
    Autorzy:
    Kujawa, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1933992.pdf
    Data publikacji:
    2012
    Wydawca:
    Politechnika Gdańska
    Tematy:
    distortion
    thin-walled I-section beam
    elastic stiffness matrix
    energetic approach
    Castigliano’s method
    Opis:
    An elastic stiffness matrix was derived in the case of distortion of a restrained thin- walled I-section beam using the minimum total stationary elastic energy condition (Przemie- niecki J S 1968 Theory of Matrix Structural Analysis, McGraw-Hill, NY). The function describ- ing the angle of distortion was adopted form the solution of differential equation in the case of restrained distortion. The example presented in the paper helps to assess the correctness of the proposed solution. The proposed elastic stiffness matrix is applicable for solving distortion problems of bar structures composed of thin-walled members.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2012, 16, 1-2; 17-22
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An application of stiffness matrix method to determining of dispersion curves for arbitrary composite materials
    Autorzy:
    Barski, M.
    Pająk, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/244021.pdf
    Data publikacji:
    2016
    Wydawca:
    Instytut Techniczny Wojsk Lotniczych
    Tematy:
    SHM system
    multi-layered composites
    elastic waves
    dispersion curves
    stiffness matrix method
    Opis:
    Nowadays multi-layered composite material is very often applied in different kind of structures, like aircrafts, boats or vehicles. Parts of structures, which are made of these materials, are significantly lighter in comparison with traditional materials, like aluminum or steel alloys. On the other hand, the process of damage creation and evolution in the case of composites is much more complex. Moreover, the damages, which are characteristic for multi-layered materials (matrix cracking, fibre breakage, delaminations), are very difficult to detect at early stage of creation. Hence, there is a need to develop the advanced methods to detect them without destroying tested composite element. One of them is based on analysis of elastic wave propagation through the composite structure. Unfortunately, elastic waves possess strongly dispersive character. Thus, it is necessary to determine dispersion curves for investigated material before the tests in order to appropriate interpretation of received dynamic response of structure. In the case of arbitrary composite materials, it is rather challenging task. In the present article the relatively new, analytical method is applied, namely stiffness matrix method. The fundamental assumptions and the theoretical formulation of this method are discussed. Next numerical examples are presented, namely the dispersion curves are determined for the single orthotropic lamina and multi-layered 'quasi - isotropic' composite plate. The studied plates are made of glass fibres and epoxy resin. In the case of single lamina, the dispersion curves are determined in the parallel, perpendicular and arbitrary direction of waves propagation with respect to the fibre direction. In the case of multi-layered plates, the dispersion curves are computed for one arbitrary direction. Additionally, the phase and group velocities for fundamental modes and fixed excitation frequency are estimated in all directions of waves propagation.
    Źródło:
    Journal of KONES; 2016, 23, 1; 47-54
    1231-4005
    2354-0133
    Pojawia się w:
    Journal of KONES
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Energy criterion in assessing the correctness of the stiffness matrix for non-standard finite elements
    Energetyczne kryterium oceny poprawności macierzy sztywności niestandardowych elementów skończonych
    Autorzy:
    Pawlak, U.
    Powiązania:
    https://bibliotekanauki.pl/articles/402501.pdf
    Data publikacji:
    2017
    Wydawca:
    Politechnika Świętokrzyska w Kielcach. Wydawnictwo PŚw
    Tematy:
    elastic strain energy
    membrane (transition) element
    stiffness matrix
    rotational degree of freedom
    energia sprężysta
    element tarczowy
    macierz sztywności
    rotacyjny stopień swobody
    Opis:
    The paper presents the assessment of the correctness of the stiffness matrix for non-standard finite elements, which are membrane elements with additional, rotational degrees of freedom at a node. When applied to modelling, they make it possible to connect sub-areas with different degrees of freedom. Formulas for a mean value of elastic strain energy of the elements were derived, the values were compared with the density of elastic strain energy in a classical membrane state.
    W prezentowanej pracy przeprowadzono ocenę poprawności macierzy sztywności niestandardowych elementów skończonych. Niestandardowe elementy skończone to elementy tarczowe z dodatkowymi rotacyjnymi stopniami swobody w węźle. Zastosowane w modelowaniu umożliwiają połączenie podobszarów o rożnych stopniach swobody. Wyprowadzone zostały wyrażenia na średnią wartość energii sprężystej ww. elementów, które porównano z gęstością energii sprężystej występującej w klasycznym stanie tarczowym.
    Źródło:
    Structure and Environment; 2017, 9, 1; 42-55
    2081-1500
    Pojawia się w:
    Structure and Environment
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The influence of the configuration of the fiber-metal laminates on the dispersion relations of the elastic wave modes
    Autorzy:
    Barski, Marek
    Muc, Aleksander
    Stawiarski, Adam
    Powiązania:
    https://bibliotekanauki.pl/articles/2146565.pdf
    Data publikacji:
    2020
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    FML
    fiber metal laminates
    GLARE
    elastic wave modes
    dispersion curves
    stiffness matrix method
    laminaty metalowo-włókniste
    mody fal sprężystych
    krzywa dyspersji
    metoda macierzy sztywności
    Opis:
    The current work is devoted to the determination of dispersion curves for elastic wave modes. The studied elastic waves propagate across metal-fiber hybrid composites. In order to solve the problem, special software has been developed with the use of C++. This software works with the MS Windows operating system and the proposed solution is based on the multi-threading mechanism. It makes possible to significantly speed up the calculations. The relatively new approach is used namely the stiffness matrix method. At the very beginning, the dispersion curves are determined for the traditional composite materials of cross-ply configuration, for which the layers are made of glass fiber/epoxy resin and carbon fiber/epoxy resin. The impact of the total number of layers on the dispersion curves is investigated. Next, the influence of the thickness of the layers, which are made of aluminum alloy, on the dispersion characteristic is studied. In the second case, it is assumed that the total thickness of the composite material wall for all cases is identical.
    Źródło:
    Vibrations in Physical Systems; 2020, 31, 2; art. no. 2020202
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analytical and numerical identification of lamb waves modes for hybrid composites
    Autorzy:
    Barski, M.
    Pająk, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/245066.pdf
    Data publikacji:
    2017
    Wydawca:
    Instytut Techniczny Wojsk Lotniczych
    Tematy:
    structural health monitoring
    elastic waves
    dispersion curve
    stiffness matrix method
    numerical simulations
    finite element method
    group velocity
    fale sprężyste
    krzywa dyspersji
    symulacje numeryczne
    metoda elementów skończonych
    prędkość grupowa
    Opis:
    The current work is devoted to the problem of analytical and numerical identification of fundamental elastic waves' modes, namely symmetric mode S0 and antisymmetric mode A0, in the case of hybrid composite. The investigated material consists of one layer made of aluminum alloy Pa38 and six layers made of glass fabric/epoxy resin. At the very beginning, the dispersion curves are determined with the use of stiffness matrix method. The calculated values of phase velocities are verified by numerical simulation. The semi – analytical finite element method is applied. Next, the numerical simulations of elastic waves propagation are performed. In the studied model, the plane state of strain is assumed. These simulations are carried out with the use of finite element method. The excitation signal is a sine wave modulated by Hanning window. The simulation is repeated for different excitation frequency. The group velocities of wave modes S0 and A0 are estimated and compared with the analytical results. The evaluation of the group velocities is based on the analysis of the appropriate components of displacement. The two different method are employed, namely: cross – correlation method and envelope extraction by Hilbert transform. Generally, the obtained results are in a good agreement. However, the method based on envelope extraction by Hilbert transform provides better correlation between analytical and numerical results. The significant discrepancy is observed in the case of symmetric mode S0 for relatively high values of frequency. It is caused by the dispersion phenomena. The analytical calculations are performed with the use of SCILAB 5.5.2 free software and the numerical simulations are carried out with the use of finite element system ANSYS 13.0.
    Źródło:
    Journal of KONES; 2017, 24, 1; 31-38
    1231-4005
    2354-0133
    Pojawia się w:
    Journal of KONES
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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