This paper presents a new boundary element formulation for two-dimensional free vibration problems. Both plane strain and stress conditions are considered. The main idea of the present formulation is to approximate the inertia terms using the trigonometric radial basis function sin (R). The dual reciprocity method (DRM) with the static-type fundamental solution is used to obtain the eigen-value problem. The fictitious displacement and traction trigonometric particular solution kernels are derived and given in explicit forms. Several examples are presented to demonstrate the validity and the accuracy of the present formulation.
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