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

Abstract:

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

• Periodical: Applied Mechanics and Materials (Volumes 725-726)
• Pages: 629-635
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.725-726.629
• Online since: January 2015
• Authors: Michail Beliaev*, Vladimir Lalin, Vladimir Kuroedov
• Keywords: Benchmark Problem, Cosserat-Timoshenko Rod Theory, Geometrically Nonlinear Rods, Kirchhoff’s Rod Theory, Parameter Differentiation Method

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