Geometrically Nonlinear Rods Theory - Comparison of the Results Obtained by Cosserat-Timoshenko and Kirchhoff's Rod Theories

摘要

Up to the present solutions for geometrically nonlinear rods were obtained only by the Kirchhoff's theory. This theory disregards flexibility of the rod in tension and shear. The Cosserat-Timoshenko rod theory is generally used for rods in modern software suites. As opposed to Kirchhoff's theory it takes into account tensile and shear stiffness. This paper presents solutions obtained by Cosserat-Timoshenko rod theory. The results can be used as benchmark problem for verification of software suites.