Abstract
This paper presents the analysis on the natural frequency types and the corresponding vibration mode classes in three-dimensional, simply supported rectangular micropolar elastic plates by using a general solution for the linear theory of micropolar elasticity. It is shown that there exist four types of natural frequencies in micropolar elastic plates. The corresponding vibration modes are symmetric thickness-shear vibration, antisymmetric thickness-shear vibration, symmetric flexural vibration and antisymmetric flexural vibration. Numerical evaluation of the free vibration frequency was performed and compared in detail with the corresponding results of classical elastic plate vibration. On the basis of the numerical analysis, some observations have been made on the influence of various micropolar material constants on the vibration behavior of micropolar plates.
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