The Kirchhoff-Love plate theory is appropriate for analysing thin structures. In a simple form, only one degree of freedom (per node) needed to describe the behaviour plate, thus saving computational cost. Besides, analysis cracked structures important because it related lifetime Therefore, this paper uses extended radial point interpolation method (XRPIM) investigate free vibration plate. XRPI...

This work presents a novel simulation approach to couple the meshfree radial point interpolation method (RPIM) with implicit direct time integration for transient analysis of wave propagation dynamics in non-homogeneous media. In this approach, RPIM is adopted discretization overall space domain, while domain completed by employing efficient Bathe stepping scheme. The dispersion demonstrates th...

As the core of digital elevation model, interpolation methods have been run through the each link, such as production, quality control, accuracy assessment, analytical applications and etc. The local radial basis function interpolation method based on spatial relationship of natural neighbor was proposed in this paper. The interpolation reference points were chosen by the Delaunay Triangulation...

Combining the hybrid displacement variational formulation and the radial basis point interpolation, a truly meshless and boundary-only method is developed in this paper for the numerical solution of solid mechanics problems in two and three dimensions. In this method, boundary conditions can be applied directly and easily. Besides, it is truly meshless, that is, it only requires nodes generated...

A meshfree radial point interpolation method (RPIM) is developed for stress analysis of threedimensional (3D) solids, based on the Galerkin weak form formulation using 3D meshfree shape functions constructed using radial basis functions (RBFs). As the RPIM shape functions have the Kronecker delta functions property, essential boundary conditions can be enforced as easily as in the finite elemen...

in this paper, an effective and simple numerical method is proposed for solving systems of integral equations using radial basis functions (rbfs). we present an algorithm based on interpolation by radial basis functions including multiquadratics (mqs), using legendre-gauss-lobatto nodes and weights. also a theorem is proved for convergence of the algorithm. some numerical examples are presented...

For both linear and nonlinear analysis, finite element method (FEM) software packages, whether commercial or in-house, have contributed significantly to ease the analysis of simple complex structures with various working conditions. However, literature offers other discretization techniques equally accurate, which show a higher meshing flexibility, such as meshless methods. Thus, in this work, ...