DEVELOPMENT OF INDUCTIVE SENSOR BASED ON RANDOM OSCILLATOR

The purpose of the work consists in the investigation of the possibility to use a random oscillator with the inductive coil as an inductive sensor. The work problems: methods development for the synthesis of a random oscillator with the inductive coil; development and investigation of methods for the analysis of oscillations in a random circuit at target bringing to a sensitive coil; an experimental confirmation of the results obtained theoretically. The investigation methods used in the work: a simulation, a computer experiment, a nature experiment. The investigation results: a confirmation of the hypothesis, lying in the basis of the investigation, on the applicability of random oscillators in sensor applications; a procedure for the synthesis of random oscillators with the inductive coil based on a specified random system of differential equations; data on the applicability of different kinds of the analysis of oscillations for the emphasis of information on the parameter measured, methods for these data processing. The novelty of this paper consists in that this is the first Russian language work on random sensors – a new promising direction of investigations in the field on non-linear dynamics. In this work for the first time there is used a random oscillator for the prototype formation of an approximation industrial sensor with a cup core. Conclusions: 1. On the basis of a random oscillator specified with a differential equation there may by synthesized a sensitive electric analogue circuit. 2. Using a simple geometrical analysis of an attractor it is possible to define a value of the parameter (inductivity) under measurement with high accuracy and to transform this value into data on a distance to an aim.

Probabilistic Solutions of Stochastic Oscillators Excited by Correlated External and Parametric White Noises

The stationary probability density function (PDF) solution of random oscillators with correlated additive and multiplicative Gaussian excitations is investigated in this paper. The correlation between additive and multiplicative Gaussian excitations is taken into account. As a result, the generalized Fokker-Planck-Kolmogorov (FPK) equation is expressed with the independent part and the correlated part, which can be solved by the exponential-polynomial closure (EPC) method. The linear and nonlinear oscillators under correlated additive and multiplicative Gaussian white noise excitations are investigated. Two cases of different correlated additive and multiplicative excitations are considered. Compared with the results in the case of independent external and parametric excitations, unsymmetrical PDFs and nonzero means of system responses can be obtained.