Boundary Integral Equation Method Analysis for Beam-Columns on Elastic Foundation.

Dynamic Analysis of Axially Beam on Visco - Elastic Foundation with Elastic Supports under Moving Load

For dynamic analyses of railway track structures, the algorithm of solution is very important. For estimating the important problems in the railway tracks such as the effects of rail joints, rail supports, rail modeling in the nearness of bridge and other problems, the models of the axially beam model on the elastic foundation can be utilized. For studying the effects of axially beam on the ela...

Frequency Analysis for a Timoshenko Beam Located on an Elastic Foundation

It is quite usual to encounter a beam with different types of cross section or even structuraldiscontinuities such as a crack along its length. Furthermore, in many occasions such a beam mayhappen to be exposed to the oscillatory fluctuations. Therefore, any information about its naturalfrequencies may be worthwhile. Amongst the problems of discontinues beam analysis, in this paper aspecial kin...

The Boundary Integral Equation Method

On the collocation method for a nonlinear boundary integral equation

In this paper we study a potential problem with a nonlinear boundary condition. Using the Green representation formula for a harmonic function we reformulate the nonlinear boundary value problem as a nonlinear boundary integral equation. We shall give a brief discussion of the solvability of the integral equation. The aim of this paper, however, is to analyse the collocation method for finding ...

On the Boundary Integral Equation Method for a Mixed Boundary Value Problem of the Biharmonic Equation

This paper is concerned with weak solution of a mixed boundary value problem for the biharmonic equation in the plane. Using Green’s formula, the problem is converted into a system of Fredholm integral equations for the unknown data on different part of the boundary. Existence and uniqueness of the solutions of the system of boundary integral equations are established in appropriate Sobolev spa...