AXISYMMETRIC STABILITY OF CIRCULAR RING PLATE SUBJECTED TO MECHANICAL AND THERMAL LOADS
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2019, Vol 72, Issue 1
Abstract
The possibility of loss of the axisymmetric stability of a circular ring plate is investigated, when uniformly varying thermal field impacts over plate radius. The inner border of the plate is clamped or is exposed to the impact of external mechanical forces. Uniformly distributed tensile or compressive forces impact at the outer border of the plate. Taking into account the formed flat stress state in the circular ring plate, the values of the longitudinal displacements are determined for all cases of internal stresses in the compression zones. In the case of the general loading of the ring plate, the stresses are expressed by both first-order and second-order Bessel's functions, as well as by cylindrical functions of imaginary arguments with real indices. In the cases of ring plate partial loading, the equations of plate stability get the look of Euler type equations, and the stresses in the plate are expressed by elementary functions.
Authors and Affiliations
A. S. Avetisyan, R. K. Aleksanyan, D. R. Aleksanyan
Keywords
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- EP ID EP596322
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