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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| Published in | Australian journal of mechanical engineering Vol. 19; no. 5; pp. 595 - 601 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Taylor & Francis
20.10.2021
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1448-4846 2204-2253 |
| DOI | 10.1080/14484846.2019.1682805 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Xu, Jingbo Xu, Xiaohong Cui, Xiaomeng |
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| References | LI S. H. M. (cit0002) 2008 cit0001 Liao Q. B. (cit0003) 2006; 17 Weizhen C. (cit0007) 2010; 38 Yumei H. (cit0010) 2015; 34 Xiangsong L. (cit0008) 2015; 13 Shunming L. (cit0005) 2013; 34 cit0009 cit0006 Zhiying L. (cit0011) 2014; 28 cit0004 |
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| SubjectTerms | numerical integration Simpson formula trend item Vibration testing |
| Title | A new recursive Simpson integral algorithm in vibration testing |
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