Predicting Dynamic Behavior of Rotating Mindlin Plate Using Radial Point Interpolation Method

This paper proposes the radial point interpolation method (RPIM) for studying the dynamic behaviors of rotating Mindlin plates. By considering nonlinear coupling deformation, that is, the in-plane longitudinal shortening terms caused by transverse deformation, the first_order approximation coupled (FOAC) dynamic model is established using Lagrange’s equations of the second kind. The effectiveness of RPIM is first demonstrated in some static cases and then extended for dynamic analysis of a rectangular plate subjected to a large overall motion. The simulation results were compared with those obtained with zero-order approximation coupled (ZOAC) dynamic model, and it was observed that results obtained with FOAC dynamic model are more accurate, especially for cases involving high rotating speed. Furthermore, the influence of the radial basis shape parameters is discussed and the optimal parameters for plates are recommended. An approach to overcome the shear locking issue is also provided.