Axisymmetric Free Vibration Analysis of Annular and Circular Mindlin Plates Using the Nonlocal Continuum Theory

摘要

This study aims to investigate and analyze the axisymmetric free vibration of non-local annular and circular Mindlin plates at the microano scale which are modeled using Eringen's nonlocal elasticity theory, taking into consideration the small scale effect. The governing equations are derived using the nonlocal differential constitutive relations of Eringen. For this purpose, the resulted eigenvalue problem is solved numerically by applying the Chebyshev collocation method. The effects of the inner to outer radius ratio, the thickness to outer radius ratio, the nonlocal scale effect and the boundary conditions on the natural frequencies are studied.