Dynamic model of micropolar elastic thin plates with independent fields of displacements and rotations

A general model of dynamic bending of isotropic micropolar elastic thin plates with independent fields of displacements and rotations is presented. The model has been justified asymptotically based on the solutions for special cases subject to simplifying assumptions. The model incorporates transver...

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Veröffentlicht in:Journal of sound and vibration 2014-09, Vol.333 (18), p.4354-4375
Hauptverfasser: Sargsyan, A.H., Sargsyan, S.H.
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description A general model of dynamic bending of isotropic micropolar elastic thin plates with independent fields of displacements and rotations is presented. The model has been justified asymptotically based on the solutions for special cases subject to simplifying assumptions. The model incorporates transverse shear deformations. Neglecting transverse shear, a model of the dynamics of micropolar elastic thin plates is also constructed. Then, we study free and forced oscillations and derive the natural frequencies, the amplitudes of the forced oscillations and the resonance conditions for micropolar elastic hinge-supported rectangular and circular plates. Finally, the basic characteristic features of micropolar plates are numerically analysed for different values of various elastic and inertial constants of the micropolar material.
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subjects Asymptotic properties
Constants
Dynamics
Inertial
Oscillations
Shear
Thin plates
Vibration
title Dynamic model of micropolar elastic thin plates with independent fields of displacements and rotations
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