A Non-singular Hybrid Boundary Element Formulation Incorporating A Higher Order Fundamental Solution
Free (open access)
L Gaul, F Moser & M Fischer
On the basis of the hybrid displacement boundary element method (HDBEM) a non-singular formulation is presented. Although singular fundamental solutions are used for the approximation of domain variables, just regular boundary integrals have to be evaluated. This is achieved by locating the load points outside of the domain. The influence of the load point placement is examined and a preferred region is found leading to good results and a low sensitivity on the actual load point location. Then on-singular formulation is applied to 3D elastostatics and elastodynamics. Symmetric and time-independent system matrices are obtained which can be used for the calculation of forced vibrations as well as for eigen-analysis and transient solutions. The domain integral describing inertia forces is mapped on the boundary by means of an analytical higher order fundamental solution. Numerical results are demonstrated for a slender beam in bending.