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Wyszukujesz frazę "Integral equations" wg kryterium: Temat


Wyświetlanie 1-2 z 2
Tytuł:
Vibrations of an orthotropic plate with point supports subjected to a moving force
Autorzy:
Zakęś, Filip
Powiązania:
https://bibliotekanauki.pl/articles/38910039.pdf
Data publikacji:
2023
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
orthotropic plate
moving load
vibrations
Volterra integral equations
Opis:
We investigate the dynamic behavior of a rectangular orthotropic plate loaded with the concentrated force moving with constant speed along the structure. In this work, we consider two types of plates in terms of boundary conditions. In the first case, we assume that the plate is simply supported on all of its edges with a number of point supports arbitrarily located in its area, and in the second one, we look at a two-span bridge plate with arbitrarily oriented intermediate linear support. Solutions for both cases are obtained by replacing the original structure with a single-span plate subjected to a given moving load and redundant forces situated in positions of removed intermediate supports. Redundant forces are obtained by the application of Volterra integral equations for the simply supported plate, and finite difference discretization and the Newmark method for the bridge plate. Two numerical examples are given to prove the effectiveness of the presented approach.
Źródło:
Engineering Transactions; 2023, 71, 3; 307-328
0867-888X
Pojawia się w:
Engineering Transactions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mechanics of moving contacts involving functionally graded multiferroics
Autorzy:
Toktas, S. E.
Dag, S.
Powiązania:
https://bibliotekanauki.pl/articles/38697105.pdf
Data publikacji:
2023
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
multiferroics
functionally graded materials
magneto-electro-elastic coatings
moving contacts
singular integral equations
Opis:
This article introduces solution procedures for moving contacts involving functionally graded multiferroic coatings. A moving rigid punch of a flat or a triangular profile is assumed to be in contact with a multi-layer medium comprising magneto-electro-elastic coating layers, elastic interlayers, and an elastic substrate, that is modelled as a half-plane. The formulation is based on wave equations of plane elastodynamics and Maxwell’s equations. Applying Fourier and Galilean transformations, a singular integral equation of the second kind is derived for each of the flat and triangular punch problems. An expansion-collocation technique utilizing Jacobi polynomials is developed to numerically solve the integral equations. Proposed procedures are verified through comparisons to the results available in the literature. Parametric analyses carried out considering functionally graded magneto-electro-elastic coatings demonstrate the effects of the property variation profile, punch speed, and coating thickness on contact stresses, electric displacement, and magnetic induction. The methods presented could be of use in analysis and design studies of multiferroic layered systems subjected to moving contacts.
Źródło:
Archives of Mechanics; 2023, 75, 4; 431-468
0373-2029
Pojawia się w:
Archives of Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-2 z 2

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