Abstract

This study aims to investigate and analyze the axisymmetric free vibration of non-local annular and circular Mindlin plates at the micro/nano 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.

Keywords:

Annular and circular mindlin plates, axisymmetric vibration, chebyshev collocation method, eigenvalue problem, eringen's non-local elasticity theory, natural frequencies,

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Competing interests

The authors have no competing interests.

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