Amplitude reconstruction of acoustic emission signals on the base of its mathematical modeling as a stochastic process

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Abstract

The problem of random oscillations generated by inner defect within the neighborhood of the boundary of the elastic massive body under the pre-failure stage is considered. The investigation is based on results of the invariants’ method in acoustic emission (AE) theory consisting in the stability conditions of the mean of statistic distribution parameters of signal characteristics under the same pre-failure stage. The mathematical model of arising wave process of displacement oscillations in the massive body is constructed and the correctness of its using is studied. The problem in question is reduced to the investigation of a boundary integral equation in special stochastic process classes. The task of reconstructing from AE signals and describing the nature of the random process of defect radiation at the free boundary of the body is set. Some numerical are presented.

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About the authors

V. N. Berkovich

Don Cossack State Institute of Food Industry and Business, Rostov branch of Razumovsky; Southern Federal University (SFU), Vorovich Institute of Mathematics, Mechanics and Computer Science; Moscow State University of Technologies and Management (First Cossack University); Rostov Branch of the Russian Customs Academy (RCA)

Author for correspondence.
Email: vberkovich@mail.ru
Russian Federation, Semashko str., 55, Rostov-on-Don 344007; Milchakova str., 8A, Rostov-on-Don 344090; Budennovskiy ave., 10, Rostov-on-Don 344007

S. I. Builo

Southern Federal University (SFU), Vorovich Institute of Mathematics, Mechanics and Computer Science

Email: sibuilo@yandex.ru
Russian Federation, Milchakova str., 8A, Rostov-on-Don 344090

B. I. Builo

Russian University of Transport (RTU)

Email: builobi@mail.ru
Russian Federation, Obraztsova str., 9, Moscow 127055

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