2019
DOI: 10.51346/tstu-01.18.2.-77-0008
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Approximation Model of a T Tion Model of a Typical Mech Ypical Mechanical Objec Anical Object With Distributed Parameters

Abstract: . The article discusses the method of approximation transformations for the study of a typical mechanical object with distributed parameters. A mathematical description of an object with distributed parameters, which is given in the form of a partial differential equation, and their structural models are considered. An approximation model has been obtained with a number of unique properties that have proven useful in the construction of structural models of electromechanical systems.

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“…Often, experiments are not reproducible enough. It should be taken into account that in order to solve the problem of the propagation of elastic waves in a specific structure, it is necessary to build a complex mathematical model [7][8][9][10][11][12][13]. It should also be noted that solving the problem of restoring the original AE signal shape allows us to reduce the further problem of fracture prediction to the problem of mechanics with its powerful physical and mathematical apparatus, apply existing computational mathematics tools and ensure the creation of the required control and prediction algorithms [14,15,16].…”
Section: Introductionmentioning
confidence: 99%
“…Often, experiments are not reproducible enough. It should be taken into account that in order to solve the problem of the propagation of elastic waves in a specific structure, it is necessary to build a complex mathematical model [7][8][9][10][11][12][13]. It should also be noted that solving the problem of restoring the original AE signal shape allows us to reduce the further problem of fracture prediction to the problem of mechanics with its powerful physical and mathematical apparatus, apply existing computational mathematics tools and ensure the creation of the required control and prediction algorithms [14,15,16].…”
Section: Introductionmentioning
confidence: 99%