Mathematical Evaluation of Mechanical Construction Safe Loading

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Abstract

The article analyzes an interdisciplinary approach of nonlinear dynamics and a body of mathematics of applied catastrophe theory for mechanical system safety management - a load-bearing element of the metallurgical crane bridge. An actual mechanical system with three rank parameters and two commandersis simulated, with the use of specified mathematical apparatus of an applied catastrophe theory. The values of the coefficients are obtained, in which the state of the load-bearing element of the metallurgical crane bridge may be in dangerousand catastrophic conditions, which gives ample oppor-tunities in solving the problems of technogenic safety and risk theory. The proposed approach couldprovide the technogenic safety not only of metallurgical traveling cranes, but also of various other real-world structures: bridges, arches, hoisting machinery.