METHOD OF BOUNDARY ELEMENT IN PROBLEMS OF STABILITY OF PLANE BENDING BEAMS OF RECTANGULAR CROSS SECTION

An algorithm for solving problems of stability plane bending beams of rectangular section (thin strips) with the help of numerical and analytical variant of the method of boundary elements. The aim is to build new solutions of differential equations of stability problems. Beams with sections in the form of narrow strips have higher strength and stiffness, however, when the transverse load, there is a risk of loss of stability plane bending. In this case, the beam is further bent in another plane and twists. There flexural-torsional buckling, in which there are large displacements and structural failure may occur. The theory of solving such problems needs to be developed, as current results are very difficult to extend to continuous beams and frames. The boundary element method can greatly simplify the process of decisions to improve the accuracy and reliability of the results obtained and disseminate solutions to more complex structure than a beam. Calculations are made of the critical forces in MATLAB environment.