{"title":"基于随机过程数学建模的声发射信号振幅重构","authors":"V. N. Berkovich, S. I. Builo, B. I. Builo","doi":"10.1134/S1061830924601788","DOIUrl":null,"url":null,"abstract":"<p>The problem of random oscillations generated by an internal defect within the neighborhood of the boundary of an elastic massive body at the prefailure stage is considered. The study is based on the results of the invariant method in the theory of acoustic emission (AE), according to which the statistical distribution of the values of the parameters of acoustic emission (AE) signals due to a defect obeys the stability condition when the body remains at the same prefailure stage. A mathematical model of a nonstationary wave field of displacements in an elastic massive body is constructed and the issues of the correctness of its application are studied. The problem is reduced to the study of a certain boundary integral equation in special classes of stochastic processes. We pose the problem of reconstructing and describing the nature of the random process of defect emission on the free boundary of the body based on AE signals. The data of numerical analysis are presented.</p>","PeriodicalId":764,"journal":{"name":"Russian Journal of Nondestructive Testing","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Reconstruction of the Amplitude of Signals of Acoustic Emission Based on Mathematically Modeling as a Stochastic Process\",\"authors\":\"V. N. Berkovich, S. I. Builo, B. I. Builo\",\"doi\":\"10.1134/S1061830924601788\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The problem of random oscillations generated by an internal defect within the neighborhood of the boundary of an elastic massive body at the prefailure stage is considered. The study is based on the results of the invariant method in the theory of acoustic emission (AE), according to which the statistical distribution of the values of the parameters of acoustic emission (AE) signals due to a defect obeys the stability condition when the body remains at the same prefailure stage. A mathematical model of a nonstationary wave field of displacements in an elastic massive body is constructed and the issues of the correctness of its application are studied. The problem is reduced to the study of a certain boundary integral equation in special classes of stochastic processes. We pose the problem of reconstructing and describing the nature of the random process of defect emission on the free boundary of the body based on AE signals. The data of numerical analysis are presented.</p>\",\"PeriodicalId\":764,\"journal\":{\"name\":\"Russian Journal of Nondestructive Testing\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-08-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Russian Journal of Nondestructive Testing\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1061830924601788\",\"RegionNum\":4,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATERIALS SCIENCE, CHARACTERIZATION & TESTING\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Journal of Nondestructive Testing","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1134/S1061830924601788","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}
Reconstruction of the Amplitude of Signals of Acoustic Emission Based on Mathematically Modeling as a Stochastic Process
The problem of random oscillations generated by an internal defect within the neighborhood of the boundary of an elastic massive body at the prefailure stage is considered. The study is based on the results of the invariant method in the theory of acoustic emission (AE), according to which the statistical distribution of the values of the parameters of acoustic emission (AE) signals due to a defect obeys the stability condition when the body remains at the same prefailure stage. A mathematical model of a nonstationary wave field of displacements in an elastic massive body is constructed and the issues of the correctness of its application are studied. The problem is reduced to the study of a certain boundary integral equation in special classes of stochastic processes. We pose the problem of reconstructing and describing the nature of the random process of defect emission on the free boundary of the body based on AE signals. The data of numerical analysis are presented.
期刊介绍:
Russian Journal of Nondestructive Testing, a translation of Defectoskopiya, is a publication of the Russian Academy of Sciences. This publication offers current Russian research on the theory and technology of nondestructive testing of materials and components. It describes laboratory and industrial investigations of devices and instrumentation and provides reviews of new equipment developed for series manufacture. Articles cover all physical methods of nondestructive testing, including magnetic and electrical; ultrasonic; X-ray and Y-ray; capillary; liquid (color luminescence), and radio (for materials of low conductivity).