Finite difference method for nonlinear analysis of structures

The paper describes a sustained line of development of methods of nonlinear analysis of structural elements and frames using the finite difference method. Analysis for the ultimate load of beam–columns consisting of more than one material was the initial application. Subsequently, the method was extended to composite frames. In recent years, the problem of nonlinear response of structures exposed to fire has also been successfully solved. In all cases, good correlation with experiments has been obtained for deflections, ultimate loads and strains within the cross-section. Apart from use in design, the related computer programs have been successfully used for developing design aids.