A Compatible Baseline Correction Algorithm for Strong-Motion Data
In physics, acceleration, velocity, and displacement should be convertible with each other. However, many strong-motion data do not meet this requirement; the double integration of a disseminated acceleration might not be the same as the corresponding disseminated displacement. This data incompatibi...
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Format: | Article |
Language: | English |
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Springer
2012-01-01
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Series: | Terrestrial, Atmospheric and Oceanic Sciences |
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http://tao.cgu.org.tw/images/attachments/v232p171.pdf
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author | Hung-Chie Chiu |
author_facet | Hung-Chie Chiu |
author_sort | Hung-Chie Chiu |
collection | DOAJ |
description | In physics, acceleration, velocity, and displacement should be convertible with each other. However, many strong-motion data do not meet this requirement; the double integration of a disseminated acceleration might not be the same as the corresponding disseminated displacement. This data incompatibility influences not only on the waveform but also on the derived terms from acceleration, such as response spectra. This can become a serious problem in the calculation of a nonlinear response (Pecknold and Riddell 1978, 1979). We show that the non-zero initial value of waveforms is the direct source of the dada incompatibility, and propose a numerical algorithm to solve the problem by adding a prefix acceleration impulse. We suggest a polynomial function of order of three as the impulse function. The coefficients of this polynomial function can be determined by initial acceleration, velocity and displacement which can be obtained by routine data processing. Numerical tests show this added impulse can effectively remove the data incompatibility and cause negligible effects on waveforms and response spectra. |
first_indexed | 2024-04-13T22:27:50Z |
format | Article |
id | doaj.art-6b9ec2c5df55428ba7b1d98c293606d1 |
institution | Directory Open Access Journal |
issn | 1017-0839 2311-7680 |
language | English |
last_indexed | 2024-04-13T22:27:50Z |
publishDate | 2012-01-01 |
publisher | Springer |
record_format | Article |
series | Terrestrial, Atmospheric and Oceanic Sciences |
spelling | doaj.art-6b9ec2c5df55428ba7b1d98c293606d12022-12-22T02:27:01ZengSpringerTerrestrial, Atmospheric and Oceanic Sciences1017-08392311-76802012-01-0123217110.3319/TAO.2011.10.25.01(T)1060A Compatible Baseline Correction Algorithm for Strong-Motion DataHung-Chie ChiuIn physics, acceleration, velocity, and displacement should be convertible with each other. However, many strong-motion data do not meet this requirement; the double integration of a disseminated acceleration might not be the same as the corresponding disseminated displacement. This data incompatibility influences not only on the waveform but also on the derived terms from acceleration, such as response spectra. This can become a serious problem in the calculation of a nonlinear response (Pecknold and Riddell 1978, 1979). We show that the non-zero initial value of waveforms is the direct source of the dada incompatibility, and propose a numerical algorithm to solve the problem by adding a prefix acceleration impulse. We suggest a polynomial function of order of three as the impulse function. The coefficients of this polynomial function can be determined by initial acceleration, velocity and displacement which can be obtained by routine data processing. Numerical tests show this added impulse can effectively remove the data incompatibility and cause negligible effects on waveforms and response spectra. http://tao.cgu.org.tw/images/attachments/v232p171.pdf Ground accelerationBaseline correctionData incompatibilityStrong motionResponse spectra |
spellingShingle | Hung-Chie Chiu A Compatible Baseline Correction Algorithm for Strong-Motion Data Terrestrial, Atmospheric and Oceanic Sciences Ground acceleration Baseline correction Data incompatibility Strong motion Response spectra |
title | A Compatible Baseline Correction Algorithm for Strong-Motion Data |
title_full | A Compatible Baseline Correction Algorithm for Strong-Motion Data |
title_fullStr | A Compatible Baseline Correction Algorithm for Strong-Motion Data |
title_full_unstemmed | A Compatible Baseline Correction Algorithm for Strong-Motion Data |
title_short | A Compatible Baseline Correction Algorithm for Strong-Motion Data |
title_sort | compatible baseline correction algorithm for strong motion data |
topic | Ground acceleration Baseline correction Data incompatibility Strong motion Response spectra |
url |
http://tao.cgu.org.tw/images/attachments/v232p171.pdf
|
work_keys_str_mv | AT hungchiechiu acompatiblebaselinecorrectionalgorithmforstrongmotiondata AT hungchiechiu compatiblebaselinecorrectionalgorithmforstrongmotiondata |