MULTI-SCALE FINE ANALYSIS BASED ON THE FINITE PARTICLE METHOD

As a modeling method of fine analysis, multi-scale modeling can effectively balance efficiency and accuracy of structural analysis. Finite Particle Method (FPM) is a numerical method for analyzing nonlinear behavior of structures accurately, and it is applied to cases of various complex behaviors. In FPM, particles are basic units and explicit integration is adopted. The multi-scale modeling method proposed in this paper is based on these FPM's characteristics and the plane section assumption of beam and shell elements. The particles in the connection section are divided into master and slave particles. The mass, mass inertia matrix, force and moment of slave particles are assembled into master particles. After the motion equations of master particles are solved, slave particles' displacements are acquired from displacement constraint conditions, thus the connection of elements with different dimensions is implemented. The results of numerical examples demonstrate that this multi-scale modeling method is effective for beam-shell, beam-solid and shell-solid connections and achieves good accuracy and stability for geometric nonlinear and dynamic problems. This method is suitable for the analysis of complex behaviors of structures.