ON THE IMPLEMENTATION OF BOUNDARY CONDITIONS IN RBF-PS METHOD APPLIED TO VIBRATION ANALYSIS OF KIRCHHOFF PLATES

Abstract eng:
The paper deals with the implementation of multiple boundary conditions in the radial basis function-based pseudospectral method. This numerical technique belongs to the wide range of meshless discretization methods, combining the flexibility of the meshless discretization with efficiency and simplicity of the pseudospectral techniques. The method can be directly applied to lower order equation, where the number of boundary conditions at a boundary node corresponds to the number of degrees of freedom at this node. For higher order equations the problem arises during collocation procedure due to multiple boundary conditions. In the present paper two approaches to overcome this inconvenience are shown. One is based on the Hermite interpolation idea while the other is a slight modification of the direct approach. The convergence and accuracy of both approaches are examined in the problem of free vibration analysis of plates. Square plates as well as irregular shaped plates with various types of boundary conditions are taken under consideration. Uniform as well as scattered node distributions are applied. The results confirm that both approaches can be useful in the application to plate vibration analysis.

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