Dynamic analysis of a hub-FGM micro-beam based on meshless method in thermal environment

Abstract

This study investigates the dynamic characteristics of rotating functionally graded material (FGM) micro-beams operating in a thermal environment, incorporating size effects, A high-order coupled dynamic model is established based on the modified couple stress theory. The formulation explicitly accounts for axial shortening induced by lateral deformation (nonlinear coupling deformation term) and employs the point interpolation method (PIM) and radial point interpolation method (RPIM) to discretize the deformation field of flexible micro-beams. Lagrange's equation of the second kind provides the governing equations. The influences of critical parameters including temperature field, rotational velocity profiles, the FGM gradient index, and size dependence are quantitatively examined. The simulation results demonstrate that thermal environment and size effect exert significant, non-negligible in influences on the dynamic analysis of FGM micro-beams. Furthermore, this study confirms the efficacy of meshless methods specifically PIM and RPIM, highlighting their potential for extension to rigid-flexible-thermal coupled multi-body system dynamics.