Análise estática não-linear geométrica de estruturas pelo método de superposição modal com base Lanczos-Ritz

Abstract

The purpose of this work is to present the method of linear buckling mode superposition as a procedure for geometric nonlinear static analysis of slender structures, and to examine, as an alternative to a modal basis, the use of a coordinates transformation constitutes by vectors produced in a non-iterative way from a Lanczos algorithm. In the method of buckling mode superposition the eingenvectores have been tradionally used as basis vectors. The high computational cost of this procedure, caused by the iterative character of the eingenvalue problem, is its main drawback. The proposed method reduces the computer time requirements significantly without affecting the accuracy of the results. The viability of the proposed algorithm is investigated through some examples. Comparisons with the classical mode superposition method and a full nonlinear analysis are presented and the obtained results discussed.