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General dynamic theory of micropolar elastic thin plates with free rotation and special features of their natural oscillations

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Abstract

A general applied two-dimensional theory for the dynamics of micropolar elastic thin plates that takes into account rotationally shear and related deformations is developed on the basis of the method of hypotheses with asymptotic confirmation. A problem of natural oscillations of micropolar elastic thin rectangular plates is solved using it. Special features of the dynamic characteristics of elastic thin plates made of a micropolar elastic material are revealed within the framework of numerical analysis.

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Authors and Affiliations

  1. National Academy of Sciences of Armenia, ul. Sayat-Novy 2, apt. 11, Gyumri, 377501, Armenia

    S. H. Sargsyan

  2. Gyumri State Pedagogical Institute, Ani quarters, ul. 13 11, apt. 15, Gyumri, Armenia

    A. H. Sargsyan

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  1. S. H. Sargsyan
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Correspondence to S. H. Sargsyan.

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Original Russian Text © S.H. Sargsyan, A. H. Sargsyan, 2011, published in Akusticheskii Zhurnal, 2011, Vol. 57, No. 4, pp. 461–469.

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Sargsyan, S.H., Sargsyan, A.H. General dynamic theory of micropolar elastic thin plates with free rotation and special features of their natural oscillations. Acoust. Phys. 57, 473–481 (2011). https://doi.org/10.1134/S1063771011040208

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