An analysis of beam elongation influence to postbuckling displacements under displacement dependent axial force

Abstract

This paper presents an analysis of beam elon-gation influence on the postbuckling displacements in case of axial compression by a force depending on axial deformation of the beam. It is performed both numerical and experimental analysis of this effect. Numerical analysis is done by using finite elements method. Nonlin-ear equilibrium equation is derived and solved using the method of simultaneous iterations. Verification of numeri-cal results is done by experimental analysis. Both numeri-cal and experimental results show significant influence of the beam elongation on postbuckling displacements.