Analytical study of three-dimensional flexural vibration of micro-rotating shafts with eccentricity utilizing the strain gradient theory

摘要: In this work, some vibrational response parameters of strain gradient based micro-spinning Rayleigh beams with mass eccentricity distribution are investigated within infinitesimal deformation conditions. Governing equations motion derived utilizing the Hamilton’s principle. The gyroscopic effects and rotary inertia both included in formulation. By applying Galerkin method, analytical expressions for natural frequencies micro beam forward backward whirl motions obtained. addition, an expression amplitude micro-beam due to is determined. Some numerical results presented study effect higher-order material properties on characteristics eccentricity.