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Initial stability analysis of plates considering continuous internal supports by the BEM

Guminiak M.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2009

Vol. 8, nr 1

47-62

An initial stability of Kirchhoff plates is presented in the paper. Using proposed approach, there is no need to introduce Kirchhoff forces at the plate corner and equivalent shear forces at a plate boundary. Two unknown and independent variables are considered at the boundary element node. The Bettie theorem is used to derive the boundary integral equation. The collocation version of boundary element method with "constant" type of elements is presented. The source points are located slightly outside a plate boundary, hence the quasi diagonal integrals of fundamental functions are non-singular. To describe a plate curvature, the set of internal collocation points is introduced.

On the traction problem in mechanics

Malaspina A.

Archives of Mechanics

2005

Vol. 57, nr 6

479-491

In this paper, we show how to solve the traction problem for the Lamé and Stokes systems by means of a double layer potential. In this way we complete the results of [5], where Cialdea and Hsiao, employing a method introduced by the first author in [1], solve the Dirichlet problem for Lamé and Stokes systems by means of a simple layer potential.

A boundary integral equation formulation of moderately thick laminated anisotropic shallow shells

Wang J., Schweizerhof K.

Applied Mechanics and Engineering

1999

Vol. 4, no 4

621-639

In this paper, a boundary integral equation formulation of moderately thick laminated anisotropic shallow shells including transverse shear deformation is presented using the method of weighted residuals. Numerical computation of the boundary integral equation presented is discussed in detail. Some of numerical examples are given and compared with the exact solutions and the solutions available in the literature. The numerical results show that the method presented has good accuracy and high efficiency.

The boundary element method in sensitivity analysis, optimization and identification

Burczyński T.

Journal of Theoretical and Applied Mechanics

1998

nr 2

365-386

This paper deals with applications of the boundary element method tosensitivity analysis, optimization and identification problems. The main motivation is to give a unified exposition with particular reference to the most recent author's numerical results.

W pracy przedstawiono zastosowanie metody elementów brzegowych w zagadnieniach analizy wrażliwości, optymalizacji i identyfikacji. Głównym celem artykułu jest przedstawienie w sposób ujednolicony powyższych zagadnień ze szczególnym uwzględnieniem uzyskanych w ostatnim okresie wyników obliczeń numerycznych.