Meshless formulations for simply supported and clamped plate problems

In this paper, simply supported and clamped thin elastic plates are analysed. The biharmonic di erential equation, representing the basis of the Kirchho theory, is decomposed into two Poisson equations. Local boundary integral equations are derived for this system of equations. The meshless approximation based on the moving least-squares method is employed for the implementation. In the case of simply supported plates, it is su cient to use the local boundary integral equations. For the case of clamped plates we propose to use a combination of the local boundary integral equations and the global ones. Then, two groups of nodal unknowns are computed separately. This leads to a reduced system of algebraic equations