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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Main Author: Hung-Chie Chiu
Format: Article
Language:English
Published: Springer 2012-01-01
Series:Terrestrial, Atmospheric and Oceanic Sciences
Subjects:
Online Access: 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.
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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
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