Journal of Theoretical
and Applied Mechanics

21, 2-3, pp. 453-466, Warsaw 1983

Numeryczne obliczanie krzywoliniowych ścieżek równowagi dla jednowymiarowych układów sprężystych

Zygmunt Kasperski

A method of calculation of the equilibrium states of the onedimensional elastic systems like rods (arches) and shells of revolution under axisymmetric loading is presented. It is assumed that loads are conservative and intensity of loads is characterized by single parameter. The solution method of the non-linear equilibrium equations utilizes all properties of matrices is stable and less time consuming. The main feature of this method is that computation time approximately grows linearly with the number of finite elements. Numerical examples of shells of revolution and basic relations are presented.