A Co-Rotational Meshfree Method for the Geometrically Nonlinear Analysis of Structures

This paper presents a co-rotational beam formulation, which is used for geometric nonlinear analysis with the differential reproducing kernel (DRK) approximation collocation method. The present based on Timoshenko hypothesis, capable of effectively solving geometrically problems such as large deformation, postbuckling, lateral buckling, and snap-through problems. kinematics have been constructed concept formulation adopted in finite element method (FEM). A meshfree method, combined Newton–Raphson employed to solve strong forms DRK takes full advantage Moreover, only scattered set nodal points necessary discretization. No elements or mesh connectivity data are required. Therefore, will be able completely circumvent dependence distortion. effectiveness this study its performance shown through several numerical applications.