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    Wyświetlanie 1-4 z 4
    Tytuł:
    Numerical solution of singularly perturbed two parameter problems using exponential splines
    Autorzy:
    Padmaja, P.
    Aparna, P.
    Gorla, Rama Subba Reddy
    Pothanna, N.
    Powiązania:
    https://bibliotekanauki.pl/articles/1839837.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    przepływ ciepła
    wartość graniczna
    katalizator
    singular perturbation
    convection-diffusion problems
    exponential spline
    numerical convergence
    Opis:
    In this paper, we have studied a method based on exponential splines for numerical solution of singularly perturbed two parameter boundary value problems. The boundary value problem is solved on a Shishkin mesh by using exponential splines. Numerical results are tabulated for different values of the perturbation parameters. From the numerical results, it is found that the method approximates the exact solution very well.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2021, 26, 2; 160-172
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analytical solution of mixed boundary value problems using the displacement potential approach for the case of plane stress and plane strain conditions
    Autorzy:
    Deb Nath, S. K.
    Powiązania:
    https://bibliotekanauki.pl/articles/266247.pdf
    Data publikacji:
    2017
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    rozwiązanie analityczne
    naprężenie płaskie
    odkształcenie
    wartość graniczna
    analytical solution
    displacement potential approach
    plane stress and plane strain conditions
    mixed boundary value problems
    Opis:
    Two elastic plate problems made of duralumin are solved analytically using the displacement potential approach for the case of plane strain and plane stress conditions. Firstly, a one end fixed plate is considered in which the rest of the edges are stiffened and a uniform load is applied to the opposite end of the fixed end. Secondly, a plate is considered in which all of the edges are stiffened and a uniform tension is applied at its both ends. Solutions to both of the problems are presented for the case of plane stress and plane strain conditions. The effects of plane stress and plane strain conditions on the solutions are explained. In the case of stiffening of the edges of the plate, the shape of the plate does not change abruptly, which is clearly observed in both of the cases. For the plane strain condition, the plates become stiffer in the loading direction as compared to the plane stress condition. For the plane strain condition, there is a significant variation of the normal stress component, σzz at different sections of the plate. The graphical results, clearly identify the critical regions of the plate for the case of the plane stress and plane strain condition.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2017, 22, 2; 269-291
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Response of non-linear shock absorbers-boundary value problem analysis
    Autorzy:
    Rahman, M. A.
    Ahmed, U.
    Uddin, M. S.
    Powiązania:
    https://bibliotekanauki.pl/articles/265424.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    amortyzator
    tłumik drgań
    stabilność
    wartość graniczna
    shock absorber
    untuned vibration damper
    frequency ratios
    non-linear springs
    non-linear dampers
    stability
    boundary value problem
    multisegment method of integration
    Opis:
    A nonlinear boundary value problem of two degrees-of-freedom (DOF) untuned vibration damper systems using nonlinear springs and dampers has been numerically studied. As far as untuned damper is concerned, sixteen different combinations of linear and nonlinear springs and dampers have been comprehensively analyzed taking into account transient terms. For different cases, a comparative study is made for response versus time for different spring and damper types at three important frequency ratios: one at r = 1, one at r > 1 and one at r <1. The response of the system is changed because of the spring and damper nonlinearities; the change is different for different cases. Accordingly, an initially stable absorber may become unstable with time and vice versa. The analysis also shows that higher nonlinearity terms make the system more unstable. Numerical simulation includes transient vibrations. Although problems are much more complicated compared to those for a tuned absorber, a comparison of the results generated by the present numerical scheme with the exact one shows quite a reasonable agreement.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2013, 18, 3; 793-814
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Decomposition of the symptom observation matrix and grey forecasting in vibration condition monitoring of machines
    Autorzy:
    Cempel, C.
    Powiązania:
    https://bibliotekanauki.pl/articles/929868.pdf
    Data publikacji:
    2008
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    zużycie maszyn
    obserwacja wielowymiarowa
    drganie
    przestrzeń uszkodzeń
    przestrzeń obserwacji
    wartość graniczna symptomu
    prognozowanie
    teoria szarych systemów
    machine wear
    multidimensional observation
    vibration
    SVD decomposition
    fault space
    observation space
    symptom limit value
    forecasting
    grey system theory
    Opis:
    With the tools of modern metrology we can measure almost all variables in the phenomenon field of a working machine, and many of the measured quantities can be symptoms of machine conditions. On this basis, we can form a symptom observation matrix (SOM) intended for condition monitoring and wear trend (fault) identification. On the other hand, we know that contemporary complex machines may have many modes of failure, called faults. The paper presents a method of the extraction of the information about faults from the symptom observation matrix by means of singular value decomposition (SVD), in the form of generalized fault symptoms. As the readings of the symptoms can be unstable, the moving average of the SOM is applied with success. An attempt to assess the diagnostic contribution of a primary symptom is made, and also an approach to assess the symptom limit value and to connect the SVD methodology with neural nets is considered. Finally, a condition forecasting problem is discussed and an application of grey system theory (GST) to symptom prognosis is presented. These possibilities are illustrated by processing data taken directly from the machine vibration condition monitoring area.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2008, 18, 4; 569-579
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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