A coupled boundary element/differential equation method formulation for plate–beam interaction analysis

In this work, a new boundary element formulation for the analysis of plate–beam interaction is presented. This formulation uses a three nodal value boundary elements and each beam element is replaced by its actions on the plate, i.e., a distributed load and end of element forces. From the solution of the differential equation of a beam with linearly distributed load the plate–beam interaction tractions can be written as a function of the nodal values of the beam. With this transformation a final system of equation in the nodal values of displacements of plate boundary and beam nodes is obtained and from it, all unknowns of the plate–beam system are obtained. Many examples are analyzed and the results show an excellent agreement with those from the analytical solution and other numerical methods.