Free vibration analysis of non-local annular sector Mindlin plates

The free vibration analysis of non-local annular sector Mindlin plates has been investigated. Mindlin plates at the micro/nano-scale are modeled using Eringen׳s nonlocal elasticity theory, where the small scale effect is taken into consideration. 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 have been studied.