Time-dependent dynamic response of cylindrical 2D-FG spinning microbeam based on different high-order beam theories applying the GDQEM and Newmark-beta techniques

Abstract

The nonlocal influence on the cantilever constructions varies significantly. Some researchers feel that nonlocal cantilever structures predict stiffness hardening features; others argue that nonlocal cantilever models cause dynamic softening. In this regard, the vibration behavior of a spinning cylindrical cantilever imperfect functionally graded beam structure is analyzed using several mathematical models based on the nonlocal strain gradient theory. More specifically, higher-order shear deformation theories are investigated in the current study. In addition, the effect of boundary condition modeling is presented. Boundary conditions could be modeled with nonlocal effects or as a classical boundary condition. The governing equations are solved using a technique called generalized differential quadrature element (GDQE) method. The findings of a frequency analysis and a dynamic deflection study, both of which are impacted by a variety of diverse factors, are presented and analyzed. Specifically, the effects of boundary condition model selection are investigated in detail. The findings proved that nonlocality in boundary conditions caused the softer behavior of the cylindrical beam structure by decreasing the natural frequency. On the other hand, using different beam models and boundary conditions could result in a complete difference in obtained results.