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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2012 Volume 12, Issue 3, Pages 45–49 (Mi isu312)

Mechanics

Mathematical modelling of loss of stability of system of step and homogeneous cores at blow about the rigid barrier Tymoshenko's method

A. A. Bityurin

Ulyanovsk State Technical University, Chair of Theoretical and Applied Mechanics

Abstract: Mathematical modeling of longitudinal elastic central blow of system of step and homogeneous cores about a rigid barrier is carried out, at not holding communications by a solution of the wave equation by Dalamber's method. On the basis of the law of conservation of energy by Tymoshenko's method the size of critical compressing loading according to which, the size of critical pretonic speed leading to loss of stability of considered rod system further pays off.

Key words: blow, stability, modeling, speed, deformation.

UDC: 622.233.6

DOI: 10.18500/1816-9791-2012-12-3-45-49



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