V. V. Struzhanov, E. Yu. Prosviryakov, “Tension with Torsion. Message 3. Iterative Method of Equilibrium parameters Calculation and Stability of Deformation Process in Mechanical System at Mixed Loading Conditions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2009, Issue 1(18),Pages <nobr>66

Mechanics of Solids

Tension with Torsion. Message 3. Iterative Method of Equilibrium parameters Calculation and Stability of Deformation Process in Mechanical System at Mixed Loading Conditions

V. V. Struzhanov^a, E. Yu. Prosviryakov^b

^a Institute of Engineering Science, Urals Branch, Russian Academy of Sciences. Division of Machines Mechanics and Technology
^b Ural State University. Dept. of Theoretical Mechanics

Abstract: Research of a mechanical system that was started in the previous articles is continued here; in order realize the tension of a sample with torsion under mixed loading conditions. Iteration procedure is proposed for solving of non-linear equilibrium equations proposing elastic-plastic sample behavior. Correlation between iteration procedure divergence start and loss of deformation process stability is established.

Keywords: tension with torsion, iteration procedure, stability, stability loss.

UDC: 539.3

MSC: 74H55

Original article submitted 14/I/2009
revision submitted – 10/II/2009

DOI: 10.14498/vsgtu662