Geodesic
Modeling the stability of compressed and twisted rods in precise problem statement
Matematičeskoe modelirovanie i čislennye metody, no. 7 (2015), pp. 3-16 Cet article a éte moissonné depuis la source Math-Net.Ru

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The article describes the method for calculating the stability of a rod under simultaneous action of axial force and torque, considering changing the torsion of the rod when it’s bent. The method is based on the use of the complete system of equations. The following cases are considered: end clamped rod, rod with a hinged support, the rod in the form of compressed and twisted console. Diagrams of dependence of the critical axial force versus the critical torque are obtained, i.e., the range of rod stability for the case of loading is determined.
Keywords: Rod, stability, flexural stiffness, critical force
Mots-clés : compression, torsion, torque. 
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V. M. Dubrovin; T. A. Butina. Modeling the stability of compressed and twisted rods in precise problem statement. Matematičeskoe modelirovanie i čislennye metody, no. 7 (2015), pp. 3-16. http://geodesic.mathdoc.fr/item/MMCM_2015_7_a0/

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