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Abstract
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Article Information:
Axisymmetric Free Vibration Analysis of Annular and Circular Mindlin Plates Using the Nonlocal Continuum Theory
Ma'en S. Sari
Corresponding Author: Ma'en S. Sari
Submitted: March 29, 2014
Accepted: June 08, 2014
Published: March 15, 2015 |
Abstract:
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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.
Key words: Annular and circular mindlin plates, axisymmetric vibration, chebyshev collocation method, eigenvalue problem, eringen's non-local elasticity theory, natural frequencies,
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Abstract
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Cite this Reference:
Ma'en S. Sari, . Axisymmetric Free Vibration Analysis of Annular and Circular Mindlin Plates Using the Nonlocal Continuum Theory . Research Journal of Applied Sciences, Engineering and Technology, (8): 561-571.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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