Темир йўл транспорти: долзарб масалалар ва инновациялар Том 7 № 1 (2026) · с. 199-207
MATHEMATICAL MODELS OF THE MAGNETIC CIRCUIT OF A NEW MAGNETOELASTIC ACCELERATION TRANSDUCER OBTAINED ON THE BASIS OF THE THEORY OF DISTRIBUTED-PARAMETER CIRCUITS: MATHEMATICAL MODELS OF THE MAGNETIC CIRCUIT OF A NEW MAGNETOELASTIC ACCELERATION TRANSDUCER OBTAINED ON THE BASIS OF THE THEORY OF DISTRIBUTED-PARAMETER CIRCUITS
Амиров, С.Ф., Жураева, K.K., Тураев, Ш.Д.
Аннотация
The article presents mathematical models of the magnetic circuit of a new magnetoelastic acceleration transducer developed using the classical method based on the formulation and solution of differential equations related to the theory of distributed-parameter circuits. Analysis of these mathematical models and the graphs constructed on their basis showed that even at a low value of the relative magnetic permeability of the ferromagnetic material of the magnetic core ( ), the maximum variation of the working magnetic fluxes along the length of long ferromagnetic rods does not exceed 1.4% of the maximum value of these fluxes. When the air gap between adjacent long ferromagnetic rods varies within the range ( ), the maximum variation of the working magnetic fluxes along the rod length does not exceed 0.25% of the maximum value of these fluxes. It is shown that, despite the fact that the magnetic circuit of the new transducer belongs to the class of distributed-parameter circuits, the working magnetic fluxes may be considered constant along the circuit length, and the analysis of this class of magnetic circuits using the methods of lumped-parameter circuit theory does not lead to significant calculation errors.
ускорение, магнитоупругий преобразователь, магнитная цепь, механическое напряжение, распределённый параметр, магнитный поток, магнитное напряжение, магнитодвижущая сила, ограничения, дифференциальное уравнение, частное решение, общее решение.acceleration, magnetoelastic transducer, magnetic circuit, mechanical stress, distributed parameter, magnetic flux, magnetic potential difference, magnetomotive force, constraints, differential equation, particular solution, general solution.
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