Statistical analysis of cavitation erosion impacts in a vibratory apparatus with copulas

Gabriel Taillon, K. Onishi, T. Mineshima, Kazuyoshi Miyagawa

Research output: Contribution to journalConference article

Abstract

A method of analysis of cavitation peaks (impact events) using copulas is developed. Impact events, otherwise known as peaks, are defined as maximum in the pressure amplitude applied to a material surface. These impact events were measured using a high speed pressure sensor in a cavitation apparatus based on the ASTM G32 standard. A total of 46180 impacts were measured over 100 realizations of 4ms long recording. First, the impact duration and amplitude's joint marginals are modeled as gamma distribution (part of the exponential family), determined by a Kolmogorov-Smirnov test (KS test). Then, copulas enable the study of the dependence structure of the measured impacts characteristics. The measured parameters are shown to not be independent but instead have a complex, asymmetric dependence structure. There are almost no impacts that have a combination of a high amplitude (>12MPa) and low duration (<5μs). The Tawn copula best fitted the data, as determined by a maximum likelihood method. An extension of the KS test to two dimensions demonstrated that the copula is a better fit compared with a joint distribution of independent marginals.

Original languageEnglish
Article number062035
JournalIOP Conference Series: Earth and Environmental Science
Volume240
Issue number6
DOIs
Publication statusPublished - 2019 Mar 28
Event29th IAHR Symposium on Hydraulic Machinery and Systems, IAHR 2018 - Kyoto, Japan
Duration: 2018 Sep 162018 Sep 21

Fingerprint

cavitation
statistical analysis
erosion
sensor
distribution
method
test

ASJC Scopus subject areas

  • Environmental Science(all)
  • Earth and Planetary Sciences(all)

Cite this

Statistical analysis of cavitation erosion impacts in a vibratory apparatus with copulas. / Taillon, Gabriel; Onishi, K.; Mineshima, T.; Miyagawa, Kazuyoshi.

In: IOP Conference Series: Earth and Environmental Science, Vol. 240, No. 6, 062035, 28.03.2019.

Research output: Contribution to journalConference article

@article{4ce8c8b2188e4f1197a6e661b1564365,
title = "Statistical analysis of cavitation erosion impacts in a vibratory apparatus with copulas",
abstract = "A method of analysis of cavitation peaks (impact events) using copulas is developed. Impact events, otherwise known as peaks, are defined as maximum in the pressure amplitude applied to a material surface. These impact events were measured using a high speed pressure sensor in a cavitation apparatus based on the ASTM G32 standard. A total of 46180 impacts were measured over 100 realizations of 4ms long recording. First, the impact duration and amplitude's joint marginals are modeled as gamma distribution (part of the exponential family), determined by a Kolmogorov-Smirnov test (KS test). Then, copulas enable the study of the dependence structure of the measured impacts characteristics. The measured parameters are shown to not be independent but instead have a complex, asymmetric dependence structure. There are almost no impacts that have a combination of a high amplitude (>12MPa) and low duration (<5μs). The Tawn copula best fitted the data, as determined by a maximum likelihood method. An extension of the KS test to two dimensions demonstrated that the copula is a better fit compared with a joint distribution of independent marginals.",
author = "Gabriel Taillon and K. Onishi and T. Mineshima and Kazuyoshi Miyagawa",
year = "2019",
month = "3",
day = "28",
doi = "10.1088/1755-1315/240/6/062035",
language = "English",
volume = "240",
journal = "IOP Conference Series: Earth and Environmental Science",
issn = "1755-1307",
publisher = "IOP Publishing Ltd.",
number = "6",

}

TY - JOUR

T1 - Statistical analysis of cavitation erosion impacts in a vibratory apparatus with copulas

AU - Taillon, Gabriel

AU - Onishi, K.

AU - Mineshima, T.

AU - Miyagawa, Kazuyoshi

PY - 2019/3/28

Y1 - 2019/3/28

N2 - A method of analysis of cavitation peaks (impact events) using copulas is developed. Impact events, otherwise known as peaks, are defined as maximum in the pressure amplitude applied to a material surface. These impact events were measured using a high speed pressure sensor in a cavitation apparatus based on the ASTM G32 standard. A total of 46180 impacts were measured over 100 realizations of 4ms long recording. First, the impact duration and amplitude's joint marginals are modeled as gamma distribution (part of the exponential family), determined by a Kolmogorov-Smirnov test (KS test). Then, copulas enable the study of the dependence structure of the measured impacts characteristics. The measured parameters are shown to not be independent but instead have a complex, asymmetric dependence structure. There are almost no impacts that have a combination of a high amplitude (>12MPa) and low duration (<5μs). The Tawn copula best fitted the data, as determined by a maximum likelihood method. An extension of the KS test to two dimensions demonstrated that the copula is a better fit compared with a joint distribution of independent marginals.

AB - A method of analysis of cavitation peaks (impact events) using copulas is developed. Impact events, otherwise known as peaks, are defined as maximum in the pressure amplitude applied to a material surface. These impact events were measured using a high speed pressure sensor in a cavitation apparatus based on the ASTM G32 standard. A total of 46180 impacts were measured over 100 realizations of 4ms long recording. First, the impact duration and amplitude's joint marginals are modeled as gamma distribution (part of the exponential family), determined by a Kolmogorov-Smirnov test (KS test). Then, copulas enable the study of the dependence structure of the measured impacts characteristics. The measured parameters are shown to not be independent but instead have a complex, asymmetric dependence structure. There are almost no impacts that have a combination of a high amplitude (>12MPa) and low duration (<5μs). The Tawn copula best fitted the data, as determined by a maximum likelihood method. An extension of the KS test to two dimensions demonstrated that the copula is a better fit compared with a joint distribution of independent marginals.

UR - http://www.scopus.com/inward/record.url?scp=85063933812&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85063933812&partnerID=8YFLogxK

U2 - 10.1088/1755-1315/240/6/062035

DO - 10.1088/1755-1315/240/6/062035

M3 - Conference article

AN - SCOPUS:85063933812

VL - 240

JO - IOP Conference Series: Earth and Environmental Science

JF - IOP Conference Series: Earth and Environmental Science

SN - 1755-1307

IS - 6

M1 - 062035

ER -