The Boundary Element Method To Solve The2D Elastic Stress, Displacement Problem

As the diversity of the building structure form，In practical projects the existence ofproperty is not even. Geometric shape irregular objects. Board in practical projects in a widerange of applications. But because the material properties and plate boundary conditions andboard open hole etc.Characteristics. When the board as the main bearing structure. In order toensure its safe use. Necessary understanding of the real stress state board. On the analysis ofthe stress state problem plate boundary element method and many methods are comparedwith its outstanding characteristic.The paper first research topic related topics development and the current situation of thestudy of the comprehensive review and summarize. The boundary element method wasintroduced the basic thought and theory. The basic theory of elastic mechanics. And theboundary element method for the numerical solution of the boundary integral equationmethod. With Matlab software for the platform. Prepare the corresponding calculationprogram. Can rapidly high order matrix solution In order to validate the derived equation andthe correctness of the programming. Will the calculated data and the theoretical solutionrespectively and finite element solution of abaqus software are compared. Get more forsatisfactory resultFrom now it looks. With analytical method is difficult to solve. This need to study itsnumerical solution, Solving the approximate solution In the existing solution partialdifferential equations of numerical method. Finite element method is the most widely used inengineering one of the most effective ways. But, the finite element method also has itsdisadvantages. The influence of the method of finite element calculation accuracy andpractical application. In recent years, new developed a kind of solution partial differentialequations of numerical calculation method－the boundary element method. Just make up forfinite element method shortcomings.This paper introduces the basic theory of the boundary element method and numericalsolution. Combined with the actual engineering is the implementation of the boundaryelement method. Research in the practical engineering initial boundary conditions of floor offloor internal force, different deformation affected. Especially for existing irregular flooranalysis is relatively appropriate. For a big hole in the side of the floor will produce stressconcentration. The boundary element method of the analysis and solution. At the same timeand comparing the analytical solution The key point that correction coefficient. Finally fittingout the curve of the correction coefficient. Will according to the elastic analytical solution(basic assumption) multiplied by correction coefficient. Get better results. For improving thepractical projects for floor simplified design weaknesses. Further put forward the adjustment of the layout and the dosage of steel design suggestions.