On the Possibility of Using the Method of Sign-Perturbed Sums for the Processing of Dynamic Test Data

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1 Citation (Scopus)

Abstract

At the present time, the methods for the measurement and prediction of the dynamic strength of materials are complicated and unstandardized. An experimental data processing method based on the incubation time criterion is considered. Only a finite number of measurements containing random errors and limited statistical information are usually available in practice, since dynamic tests are laborious, and every individual test requires a lot of time. This strongly restricts the number of applicable data processing methods unless we are satisfied with approximate and heuristic solutions. The method of sign-perturbed sums (SPS) is used for the estimation of finite-sample confidence regions with a specified confidence probability under the assumption of noise symmetries. It is shown that several experimental points are sufficient to determine the strength parameter with an accuracy acceptable for engineering calculations. The applicability of the proposed method is demonstrated in the processing of a number of experiments on the dynamic fracture of rocks.

Original languageEnglish
Pages (from-to)23-30
Number of pages8
JournalVestnik St. Petersburg University: Mathematics
Volume51
Issue number1
DOIs
Publication statusPublished - 1 Jan 2018

Scopus subject areas

  • Mathematics(all)

Cite this

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title = "On the Possibility of Using the Method of Sign-Perturbed Sums for the Processing of Dynamic Test Data",
abstract = "At the present time, the methods for the measurement and prediction of the dynamic strength of materials are complicated and unstandardized. An experimental data processing method based on the incubation time criterion is considered. Only a finite number of measurements containing random errors and limited statistical information are usually available in practice, since dynamic tests are laborious, and every individual test requires a lot of time. This strongly restricts the number of applicable data processing methods unless we are satisfied with approximate and heuristic solutions. The method of sign-perturbed sums (SPS) is used for the estimation of finite-sample confidence regions with a specified confidence probability under the assumption of noise symmetries. It is shown that several experimental points are sufficient to determine the strength parameter with an accuracy acceptable for engineering calculations. The applicability of the proposed method is demonstrated in the processing of a number of experiments on the dynamic fracture of rocks.",
keywords = "sign-perturbed sums, dynamic fracture, incubation time, FRACTURE-TOUGHNESS, TENSILE-STRENGTH, TEMPERATURES, DEPENDENCE, CAVITATION, MODELS, STEEL, ROCK",
author = "Volkova, {M. V.} and Granichin, {O. N.} and Volkov, {G. A.} and Petrov, {Yu. V.}",
year = "2018",
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language = "Английский",
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TY - JOUR

T1 - On the Possibility of Using the Method of Sign-Perturbed Sums for the Processing of Dynamic Test Data

AU - Volkova, M. V.

AU - Granichin, O. N.

AU - Volkov, G. A.

AU - Petrov, Yu. V.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - At the present time, the methods for the measurement and prediction of the dynamic strength of materials are complicated and unstandardized. An experimental data processing method based on the incubation time criterion is considered. Only a finite number of measurements containing random errors and limited statistical information are usually available in practice, since dynamic tests are laborious, and every individual test requires a lot of time. This strongly restricts the number of applicable data processing methods unless we are satisfied with approximate and heuristic solutions. The method of sign-perturbed sums (SPS) is used for the estimation of finite-sample confidence regions with a specified confidence probability under the assumption of noise symmetries. It is shown that several experimental points are sufficient to determine the strength parameter with an accuracy acceptable for engineering calculations. The applicability of the proposed method is demonstrated in the processing of a number of experiments on the dynamic fracture of rocks.

AB - At the present time, the methods for the measurement and prediction of the dynamic strength of materials are complicated and unstandardized. An experimental data processing method based on the incubation time criterion is considered. Only a finite number of measurements containing random errors and limited statistical information are usually available in practice, since dynamic tests are laborious, and every individual test requires a lot of time. This strongly restricts the number of applicable data processing methods unless we are satisfied with approximate and heuristic solutions. The method of sign-perturbed sums (SPS) is used for the estimation of finite-sample confidence regions with a specified confidence probability under the assumption of noise symmetries. It is shown that several experimental points are sufficient to determine the strength parameter with an accuracy acceptable for engineering calculations. The applicability of the proposed method is demonstrated in the processing of a number of experiments on the dynamic fracture of rocks.

KW - sign-perturbed sums

KW - dynamic fracture

KW - incubation time

KW - FRACTURE-TOUGHNESS

KW - TENSILE-STRENGTH

KW - TEMPERATURES

KW - DEPENDENCE

KW - CAVITATION

KW - MODELS

KW - STEEL

KW - ROCK

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DO - 10.3103/S1063454118010132

M3 - статья

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SP - 23

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JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

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