V. V. Struzhanov, E. Yu. Prosviryakov, “Tension with torsion. Part 2. Deformation process stability of a sample in a mechanical system. Rigid and soft loadings”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2008, Issue 2(17),Pages <nobr>77

This article is cited in 6 papers

Mechanics of Solids

Tension with torsion. Part 2. Deformation process stability of a sample in a mechanical system. Rigid and soft loadings

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

^a Institute of Engineering Science, Urals Branch, Russian Academy of Sciences
^b Ural State University

Abstract: Tension with torsion of a hollow cylindrical sample within the mechanical system structure consisting of two elastic cylindrical rods, transmitting loading on a sample is studied. System stability is determined by methods of catastrophe theory and theory of differentiated mapping peculiarities for soft and rigid loadings.

Keywords: Hessian, Jacobian of mapping, critical points and critical values, stability, a discriminantal cone, rigid and soft loading.

UDC: 539.3+517.023

MSC: 74H55

Original article submitted 23/VI/2008
revision submitted – 15/VIII/2008

DOI: 10.14498/vsgtu403