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    Wyświetlanie 1-7 z 7
    Tytuł:
    Dynamic response of three-layered annular plate with imperfections
    Autorzy:
    Pawlus, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/178521.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    sandwich
    annular plate
    dynamic stability
    imperfections
    finite difference method
    finite element method
    Opis:
    This paper presents the imperfection sensitivity of annular plate with three-layered structure. The plate composed of thin elastic facings and a thicker elastic core is loaded in facing plane. The classical issue of a three-layered plate was solved for dynamic deflection problem using the approximation methods: orthogonalization and finite difference. The solution includes the axisymmetric and asymmetric plate modes of the dynamic stability loss. The evaluation of the rate of plate sensitivity to imperfection of plate preliminary geometry has been enriched by the analysis of plate models built of finite elements. The ABAQUS program has been used. The numerous calculation results in the form of deflection characteristics, buckling modes, values of critical parameters create the view of response of dynamic plate structure with different rate of imperfection and linear in time loading growth, too.
    Źródło:
    Studia Geotechnica et Mechanica; 2014, 36, 4; 13-25
    0137-6365
    2083-831X
    Pojawia się w:
    Studia Geotechnica et Mechanica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The dynamic stability problem of composite annular plates with auxetic properties
    Autorzy:
    Pawlus, Dorota
    Powiązania:
    https://bibliotekanauki.pl/articles/38909959.pdf
    Data publikacji:
    2023
    Wydawca:
    Instytut Podstawowych Problemów Techniki PAN
    Tematy:
    auxeticity
    auxetic facings
    dynamic stability
    composite annular plate
    threelayered structure
    finite difference method
    finite element method
    Opis:
    This paper presents the effect of the auxeticity on the behaviour of a plate subjected to the loss of stability. The plate structure is composed of three layers built of auxetic or conventional facings and a conventional core. The plate is loaded mechanically in the plane of facings with forces increasing in time. The main technique of the problem solution is based on the orthogonalisation and finite differences methods. Selected examples of plates were calculated with the use of the finite difference method. The obtained results allow observing the similarities and differences between plate models, whose structures are built of conventional layers or mixed layers: auxetic-foam-auxetic. Investigations complement the knowledge of the responses of the composite structures with auxetic properties. They show the possibility of using special plate structures whose materials are characterised by the negative value of Poisson’s ratio.
    Źródło:
    Engineering Transactions; 2023, 71, 3; 329-349
    0867-888X
    Pojawia się w:
    Engineering Transactions
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Elastic critical moment for bisymmetric steel profiles and its sensitivity by the finite difference method
    Autorzy:
    Kamiński, M.
    Supeł, Ł.
    Powiązania:
    https://bibliotekanauki.pl/articles/265535.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    moment krytyczny
    konstrukcja murowana
    metoda elementów skończonych
    critical moment
    finite difference method
    sensitivity analysis
    thin walled structures
    finite element method
    Opis:
    It is widely known that lateral-torsional buckling of a member under bending and warping restraints of its cross-sections in the steel structures are crucial for estimation of their safety and durability. Although engineering codes for steel and aluminum structures support the designer with the additional analytical expressions depending even on the boundary conditions and internal forces diagrams, one may apply alternatively the traditional Finite Element or Finite Difference Methods (FEM, FDM) to determine the so-called critical moment representing this phenomenon. The principal purpose of this work is to compare three different ways of determination of critical moment, also in the context of structural sensitivity analysis with respect to the structural element length. Sensitivity gradients are determined by the use of both analytical and the central finite difference scheme here and contrasted also for analytical, FEM as well as FDM approaches. Computational study is provided for the entire family of the steel I- and H - beams available for the practitioners in this area, and is a basis for further stochastic reliability analysis as well as durability prediction including possible corrosion progress.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2016, 21, 1; 37-59
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Dynamic Response of Three-Layer Annular Plate with Damaged Composite Facings
    Autorzy:
    Pawlus, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/139681.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    composite annular plate
    dynamic stability
    damage
    finite element method
    FEM
    finite difference method
    kompozytowa płyta pierścieniowa
    stabilność dynamiczna
    uszkodzenie
    metoda elementów skończonych
    MES
    metoda różnic skończonych
    Opis:
    The paper presents the dynamic behaviour of three-layer annular plates with damaged facings. The plate is composed of thin laminated, fibre-reinforced composite facings and thicker, foam core. Failure of the plate facings is modelled as fibre or matrix cracks. The plate loaded in the plane of facings with quickly increasing radially compressed forces loses its dynamic stability. Evaluation of the critical state of the plate with failures was carried out using both analytical and numerical solutions. The comparison of results between plates with material properties treated as isotropic, quasi-isotropic and composite has been conducted. Presented tables and figures create the image of dynamic responses of examined composite plates with structure failures.
    Źródło:
    Archive of Mechanical Engineering; 2018, LXV, 1; 83-105
    0004-0738
    Pojawia się w:
    Archive of Mechanical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The mathematical characteristic of the Laplace contour filters used in digital image processing. The third order filters
    Autorzy:
    Winnicki, Ireneusz
    Jasinski, Janusz
    Pietrek, Sławomir
    Kroszczynski, Krzysztof
    Powiązania:
    https://bibliotekanauki.pl/articles/43852806.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    metoda elementów skończonych
    filtr Laplace'a
    równanie różniczkowe
    transfer function
    finite element method
    finite difference method
    matrices of the third-order Laplace filters
    modified differential equations
    Opis:
    The Laplace operator is a differential operator which is used to detect edges of objects in digital images. This paper presents the properties of the most commonly used third-order 3x3 pixels Laplace contour filters including the difference schemes used to derive them. The authors focused on the mathematical properties of the Laplace filters. The basic reasons of the differences of the properties were studied and indicated using their transfer functions and modified differential equations. The relations between the transfer function for the differential Laplace operator and its difference operators were described and presented graphically. The impact of the corner elements of the masks on the results was discussed. This is a theoretical work. The basic research conducted here refers to a few practical examples which are illustrations of the derived conclusions.We are aware that unambiguous and even categorical final statements as well as indication of areas of the results application always require numerous experiments and frequent dissemination of the results. Therefore, we present only a concise procedure of determination of the mathematical properties of the Laplace contour filters matrices. In the next paper we shall present the spectral characteristic of the fifth order filters of the Laplace type.
    Źródło:
    Advances in Geodesy and Geoinformation; 2022, 71, 2; art. no. e23, 2022
    2720-7242
    Pojawia się w:
    Advances in Geodesy and Geoinformation
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The mathematical characteristic of the fifth order Laplace contour filters used in digital image processing
    Autorzy:
    Winnicki, Ireneusz
    Pietrek, Sławomir
    Jasinski, Janusz
    Kroszczynski, Krzysztof
    Powiązania:
    https://bibliotekanauki.pl/articles/43852793.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    metoda elementów skończonych
    równanie różniczkowe
    filtr Laplace'a
    finite element method
    finite difference method
    modified differential equations
    matrices of the fifth-order Laplace filter
    Taylor expansion of the transfer function
    Opis:
    The Laplace operator is a differential operator which is used to detect edges of objects in digital images. This paper presents the properties of the most commonly used fifth-order pixels Laplace filters including the difference schemes used to derive them (finite difference method – FDM and finite element method – FEM). The results of the research concerning third-order pixels matrices of the convolution Laplace filters used for digital processing of images were presented in our previous paper: The mathematical characteristic of the Laplace contour filters used in digital image processing. The third order filters is presented byWinnicki et al. (2022). As previously, the authors focused on the mathematical properties of the Laplace filters: their transfer functions and modified differential equations (MDE). The relations between the transfer function for the differential Laplace operator and its difference operators are described and presented here in graphical form. The impact of the corner elements of the masks on the results is also discussed. A transfer function, is a function characterizing properties of the difference schemes applied to approximate differential operators. Since they are relations derived in both types of spaces (continuous and discrete), comparing them facilitates the assessment of the applied approximation method.
    Źródło:
    Advances in Geodesy and Geoinformation; 2022, 71, 2; art. no. e26, 2022
    2720-7242
    Pojawia się w:
    Advances in Geodesy and Geoinformation
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Solution of infinite slab static problem using the finite strip method by difference equations
    Zastosowanie równań różnicowych w rozwiązaniu problemu statyki nieograniczonej tarczy metodą pasm skończonych
    Autorzy:
    Pawlak, Z.
    Rakowski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/279420.pdf
    Data publikacji:
    2009
    Wydawca:
    Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Tematy:
    finite element method
    finite strips
    difference equations
    plane slab
    Opis:
    An analytical approach to the solution of an infinite slab static problem using the finite strip method is presented. The structure simply supported on its opposite edges is treated as a discrete one. A regular mesh of identical finite strips approximates the continuous structure. This regular slab discretization enables one to derive a fundamental solution for the two-dimensional discrete strip structure in an analytical, closed form. Equilibrium conditions are derived from the finite element method formulation. The set of the infinite number of equilibrium conditions is replaced by one equivalent difference equation. The solution to this equation is the fundamental function, i.e. Green's function for considered slab strip.
    W pracy zaprezentowano analityczne rozwiązanie problemu statyki nieograniczonej tarczy metodą pasm skończonych. Tarcza swobodnie podparta na przeciwległych krawędziach jest rozwiązywana jako układ dyskretny. Ciągła struktura jest aproksymowana regularną siatką składającą się z identycznych pasm skończonych. Regularny podział pozwala na wyprowadzenie funkcji fundamentalnych dla dwuwymiarowego układu dyskretnego w analitycznej, zamkniętej formie. Warunki równowagi zostały wyprowadzone zgodnie ze sformułowaniem metody elementów skończonych. Układ równań równowagi składający się z nieskończonej liczby równań został zastąpiony jednym, równoważnym równaniem różnicowym. Rozwiązanie tego równania jest funkcją fundamentalną dla rozpatrywanej tarczy.
    Źródło:
    Journal of Theoretical and Applied Mechanics; 2009, 47, 3; 629-643
    1429-2955
    Pojawia się w:
    Journal of Theoretical and Applied Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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