APPLICATION OF ALGORITHM OF BOUNDARY ELEMENT METHOD IN ELASTOSTATICS FOR DETERMINATION OF EIGEN FREQUENCIES

Abstract

At first the algorithm of Boundary element Method (BEM) for solution of elasto - static problems is discussed. The coefficients in the established system of algebraic equations are boundary regular and singular integrals. The regular integrals are calculated by Gauss’ numerical Method, but for calculation of singular ones the analytic formulae are offered. Then an example for test of formed algorithm of BEM is given. Further, the system of equations for determination of eigen frequencies is formed due to the flexibility matriss, the elements of the last one can be defined by the above presented algorithm of BEM. At last a test example is considered for comparison of BEM with finite element Method and result of Brebbia’ Method.