Open AccessTHE PROBLEM OF THE OSCILLATION OF THE ELASTIC LAYER BOUNDED BY RIGID BOUHDARIES
Author(s) -
Angisin Seitmuratov,
Tileubay Sarsenkul,
Toxanova Sveta,
Ibragimova Nuraim,
Doszhanov Bayanalui,
Murat Aitimov
Publication year - 2018
Language(s) - English
DOI - 10.32014/2018.2518-1726.6
Subject(s) - bessel function , oscillation (cell signaling) , bounded function , physics , shell (structure) , mathematical analysis , harmonic , fundamental frequency , classical mechanics , plane (geometry) , mechanics , mathematics , geometry , acoustics , materials science , genetics , composite material , biology
In the case of harmonic oscillations of a cylindrical shell, the phase velocity is expressed in terms of the frequency of natural oscillations freely supported along the edges of the shell, and therefore, the study of waves in plane and circular elements has the most direct relation to the problem of determining its own forms and oscillation frequencies shells finite length. Below let us consider some problems of oscillation of an elastic layer bounded by rigid boundaries under the influence of a normal or rotational shear stress. The solutions of the problems under consideration are obtained by using integral transformations by the coordinate. Key words: harmonic oscillations, cylindrical shells, phase velocity, frequency, eigenvibrations, Bessel function, wave, anisotropic, layer.