Discussion of 'Nonlinear Truss Analysis by One Matrix Inversion' by A. Fafitis

摘要

The author presents a method of analysis for truss structures with material and geometric nonlinearity. The method consists of a single factorization of the stiffness matrix, followed by its successive application to corrective force vectors in order to find structural equilibrium when nonlinearities arise due to strain-hardening/softening, buckling, breaking, and stiffness degradation. The author points out that the stiffness matrix used for the iteration does not necessarily have to be the exact stiffness matrix of the structure, and the proposed analysis method treats proportional, nonproportional, and cyclic loadings uniformly.