A new recursive Simpson integral algorithm in vibration testing

In vibration testing, the time domain integral is a key issue. A kind of recursive Simpson integral method is presented in this paper, which combines Newton-Leibniz formula and 3/8 Simpson formula to obtain the recurrence integral calculation of each point. The integrated waveform of whole sequence...

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Bibliographic Details
Published inAustralian journal of mechanical engineering Vol. 19; no. 5; pp. 595 - 601
Main Authors Xu, Jingbo, Xu, Xiaohong, Cui, Xiaomeng
Format Journal Article
LanguageEnglish
Published Taylor & Francis 20.10.2021
Subjects
numerical integration
Simpson formula
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Vibration testing
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ISSN1448-4846
2204-2253
DOI10.1080/14484846.2019.1682805

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Summary:In vibration testing, the time domain integral is a key issue. A kind of recursive Simpson integral method is presented in this paper, which combines Newton-Leibniz formula and 3/8 Simpson formula to obtain the recurrence integral calculation of each point. The integrated waveform of whole sequence can be obtained by polynomial fitting and detrended processing. The verification test is carried out through the earthquake data provided by MATLAB and frequency domain analysis, which illustrates the effectiveness of this method. Furthermore, the method has high computational precision and efficiency, its truncation error reaches 4 order infinitesimal of sampling interval, and is suitable for vibration testing application.
ISSN:1448-4846
2204-2253
DOI:10.1080/14484846.2019.1682805