FINITE-ELEMENT ANALYSIS OF THE AXISYMMETRIC BENDING OF ROUND CONTINUOUS PLATES ON A VARIABLE ELASTIC BASIS

Abstract

The results of the study of axisymmetric bending of round continuous plates on a variable elastic base are presented. The finite element method used in the LIRA-SAPR  software is used as the most universal of the numerical methods.

Twelve options for calculating a continuous round plate (slab) under two conditions of support and three different laws of changing the coefficient of bed are considered. In all cases, the results completely coincide with the known results of bending plates that do not have an elastic base and in the case when this base exists and its resistance is constant. It is noted that the discrepancy here is very slight - in the third significant digit after the decimal point for deflection when articulated and in the second - for moments. With hard termination, the deflections and moments also differ from the corresponding values ​​of the known solutions in the second significant digit after the decimal point. As for the elastic base, the bed coefficient of which varies according to the law of a convex parabola, there are no data for comparison; need an alternative method that will allow you to perform similar calculations. It is desirable that this method be analytical and allow calculations to be made with great accuracy and without restrictions regarding the type of load and the law of variation of the base resistance. This determines the direction of further research of the authors in the field of calculation of plates on a variable elastic base.