MATHEMATICAL MODELING OF GRADIOMETRIC TRANSDUCERS WITH FERROPROBE SENSORS
D. G. Milovzorov, V. Kh. Yasoveev
Ufa State Aviation Technical University, ul. K. Marksa 12, Ufa, 450008
Keywords: феррозондовый градиентометр, биэлементные феррозондовые датчики, математическая модель, ferroprobe flux-gage gradiometer, bi-element ferroprobe sensors, mathematical model
Abstract
Issues of designing gradiometric transducers with ferroprobe sensors are considered. The regions of application of magnetic flux field gradiometers are determined. The structure and the relative position of a bi-element transducer with ferroprobe sensors are proposed. It is assumed that the ferroprobe sensors are strictly coaxial in the body a gradiometric transducer (GMT). Elements of the classical approach to the mathematical modeling of the spatial position of solids are considered. The bases of the body of the GMT and their transformation during spatial displacement of the gradiometer are given. The problems of mathematical modeling of gradiometric transducres are formulated, basic mathematical models of GMT with a bi-element ferroprobe are developed, and the mathematical models are analyzed. A computer experiment was performed. Difference signals from the ferroprobe sensors of the gradiometer for the vertical and horizontal position of its body are shown graphically as functions of the magnitude and direction of the geomagnetic field strength vector.
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