MATEC Web Conf.
Volume 241, 2018International Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD 2018)
|Number of page(s)||3|
|Published online||03 December 2018|
On the hysteretic operators with random parameters
Voronezh State University, Universitetskaya sq. 1, 394006, Voronezh, Russia
2 Zhukovsky–Gagarin Air Force Academy, Starykh Bolshevikov st. 54 “A”, 394064, Voronezh, Russia
3 Voronezh State Technical University, XX-letiya Oktyabrya st. 84, 394006 Voronezh, Russia
4 Geophysical Survey of Russia Academy of Sciences, Lenina av. 189, 249035 Obninsk, Russia
5 Voronezh State University of Engineering Technology, Revolution av. 19, 394036 Voronezh, Russia
In this work we introduce the novel class of hysteretic operators with random parameters. We consider the definition of these operators in terms of the “input-output” relations, namely: for all permissible continuous inputs corresponds the output in the form of stochastic Markovian process. The properties of such operators are also considered and discussed on the example of a non-ideal relay with random parameters. Application of hysteretic operators with stochastic parameters is demonstrated on the example of simple oscillating system and the results of numerical simulations are presented.
© The Authors, published by EDP Sciences, 2018
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