of the Urals

Russian Journal of Agricultural Research

The publication is registered by the Ministry of the Russian Federation
for Affairs of the Press, Television and Radio Broadcasting and Mass Communication Media.
Registration certificate: PI number 77-12831 on May 31, 2002
Subscription index in catalog «Russian Press» - 16356
ISSN 1997 - 4868 (Print)

The Journal is included in the list of the leading peer-reviewed scientific journals and publications, which should be published by the main results of theses for the degree of doctor and Ph.D.
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Journal is included in the list of VAK (from 25.09.2017), No. 291

ISSN 2307-0005 (Online)
Key title: Agrarnyj vestnik Urala (Online)
Abbreviated key title: Agrar. vestn. Urala (Online)

Аграрный вестник Урала № 07 (137) 2015


Стружанов В.В. доктор физико-математических наук, профессор, профессор кафедры информационных технологий и математического моделирования Уральский государственный аграрный университет

Привалова В.В. кандидат физико-математических наук, научный сотрудник Институт машиноведения УрО РАН



 The basic problems determination of operational safety of technical systems, in particular the various machine techniquesused including in agriculture, based on the fundamental results obtained in disciplines such as strength of materials, theoryof elasticity, theory of plasticity, creep theory, fracture mechanics and other sections of solid mechanics. The durability, reliability,durability, the probability of failure, etc. for machine details in the technical system are determined on the using of thetechniques developed there at the design stage. These characteristics are depended on the nature of existing operational loads
and estimated resource implications and the release of their failure. The problem of high-quality and reliable prediction ofthe risk of accidents and fully still not been decided and requires the development of new and more effective methods basedon non-traditional mechanics of a solid areas of mathematics. The possible approach is the using for predict accidents anddestruction of the technical systems of the modern mathematical apparatus of the theory of catastrophes. This unit is usuallyapplied to the analysis of stability and instability of the mechanical systems of gradient type, when the system operates a finitenumber of conservative forces and there are a finite number of internal parameters defining the state of the system. Disruptionor failure of a technical system is a phenomenon of the same order as the phenomenon is impossible balance. When the equilibriumof the system becomes unstable, realized an abrupt transition in the near stable equilibrium state (global catastrophe).In this paper we consider a class of discrete gradient mechanical (technical) systems whose behavior is described by somepotential functions of the control parameters (load) and the state parameters (displacement). Developed the basic theoreticalprinciples and provides a generic algorithm for computing the values of destroying technical system loads.


limit loads, conservative system, accident, catastrophe, safety.


1. Sedov L. I. Mechanics of a continuous medium. P. I. M. : Nauka, 1976. 492 p.

2. Gilmore R. Catastrophe Theory for Scientists and Engineers. In 2 k. K. 1 M. : Mir, 1984. 350 p

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