THE ESTIMATION OF CRITICAL LOADS ACCORDING TO THE DISTRIBUTION OF THE SOLUTION IN THE BASIS OF EIGENVECTORS

摘要

Full nonlinear analysis of large structural models is a very time-consuming problem. Therefore, approximation methods of critical load estimation are often used. The classical approximation method is the Southwell one. The paper deals with analogous problems. There is presented an analytical method. It can be used to estimate critical loads on the basis of experimental and numerical data as well. The results are obtained according to the distribution of the nonlinear problem solution in the basis of eigenvectors. There are presented several versions of the method. Total and nonlinear parts of displacements are considered in these versions. The comparison of results obtained by the incremental and non-incremental versions is presented too.