Abstract: The meshfree global weak form of dynamic problem is formed using polynomial terms augmented RPIM shape function. A Voronoi diagram accompanied with field nodes is produced, and a discrete model of a global stiff matrix is presented by means of stabilized smoothing nodal integration based on strain smoothing stabilization, and the displacement boundary conditions are enforced by a direct method. The numerical results that agree well with FEM reference results were presented in free vibration analysis, and the unconditionally stable Newmark method is used in forced vibration analysis. It is proved that this method has better stability, accuracy and convergence.

Key words: meshfree method, nodal integration, strain smoothing, RPIM shape function