Displacement reconstruction from measured accelerations and accuracy control of integration based on a low-frequency attenuation algorithm

This study is aimed to reconstruct displacements from measured accelerations based on a low-frequency attenuation (LFA) algorithm. The integration of acceleration is conducted directly in frequency domain and the integral accuracy is governed by an accuracy control factor (ACF). A finite element sim...

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Published in:	Soil dynamics and earthquake engineering (1984) Vol. 133; p. 106122
Main Authors:	Zhu, Hao, Zhou, Yingjie, Hu, Yumei
Format:	Journal Article
Language:	English
Published:	Barking Elsevier Ltd 01.06.2020 Elsevier BV
Subjects:	Accuracy Accuracy control factor Algorithms Attenuation Computer simulation Displacement reconstruction Evaluation Finite element method Finite element simulation Integrals Integration LF noise Low-frequency attenuation algorithm Mathematical models Numerical study Vibration test Vibration tests Low-frequency attenuation algorithm Accuracy control factor Displacement reconstruction Vibration test Finite element simulation Numerical study
ISSN:	0267-7261, 1879-341X
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Abstract	This study is aimed to reconstruct displacements from measured accelerations based on a low-frequency attenuation (LFA) algorithm. The integration of acceleration is conducted directly in frequency domain and the integral accuracy is governed by an accuracy control factor (ACF). A finite element simulation is conducted to compare the integral accuracy of this algorithm with those of several other conventional integration algorithms and then the superiority of the LFA algorithm is verified. At the same time, a numerical study and a vibration test rig with limit positions of impact are designed to investigate the influence of the ACF on integration accuracy for the LFA algorithm. Besides, three error evaluation indices are proposed to evaluate the integration accuracy. The investigations indicate that the determination of the value of the ACF should fully consider the level of low frequency noise, and it is better to select a relatively large value to ensure a good effect of eliminating the trend error and/or drift error. According to this research, the value of the ACF is suggested to be selected in the range from 0.90 to 0.98 so that integral results with high accuracy can be obtained in engineering applications. •An improved low-frequency attenuation (LFA) algorithm is presented.•Integral accuracy of the LFA algorithm is governed by an accuracy control factor (ACF).•The superiority of the LFA algorithm against several conventional algorithms is verified by a FE simulation example.•A numerical study and a vibration test are designed to investigate influence of ACF on integration accuracy.•An optimal ACF value is given to get good integral result in engineering applications.
AbstractList	This study is aimed to reconstruct displacements from measured accelerations based on a low-frequency attenuation (LFA) algorithm. The integration of acceleration is conducted directly in frequency domain and the integral accuracy is governed by an accuracy control factor (ACF). A finite element simulation is conducted to compare the integral accuracy of this algorithm with those of several other conventional integration algorithms and then the superiority of the LFA algorithm is verified. At the same time, a numerical study and a vibration test rig with limit positions of impact are designed to investigate the influence of the ACF on integration accuracy for the LFA algorithm. Besides, three error evaluation indices are proposed to evaluate the integration accuracy. The investigations indicate that the determination of the value of the ACF should fully consider the level of low frequency noise, and it is better to select a relatively large value to ensure a good effect of eliminating the trend error and/or drift error. According to this research, the value of the ACF is suggested to be selected in the range from 0.90 to 0.98 so that integral results with high accuracy can be obtained in engineering applications. This study is aimed to reconstruct displacements from measured accelerations based on a low-frequency attenuation (LFA) algorithm. The integration of acceleration is conducted directly in frequency domain and the integral accuracy is governed by an accuracy control factor (ACF). A finite element simulation is conducted to compare the integral accuracy of this algorithm with those of several other conventional integration algorithms and then the superiority of the LFA algorithm is verified. At the same time, a numerical study and a vibration test rig with limit positions of impact are designed to investigate the influence of the ACF on integration accuracy for the LFA algorithm. Besides, three error evaluation indices are proposed to evaluate the integration accuracy. The investigations indicate that the determination of the value of the ACF should fully consider the level of low frequency noise, and it is better to select a relatively large value to ensure a good effect of eliminating the trend error and/or drift error. According to this research, the value of the ACF is suggested to be selected in the range from 0.90 to 0.98 so that integral results with high accuracy can be obtained in engineering applications. •An improved low-frequency attenuation (LFA) algorithm is presented.•Integral accuracy of the LFA algorithm is governed by an accuracy control factor (ACF).•The superiority of the LFA algorithm against several conventional algorithms is verified by a FE simulation example.•A numerical study and a vibration test are designed to investigate influence of ACF on integration accuracy.•An optimal ACF value is given to get good integral result in engineering applications.
ArticleNumber	106122
Author	Zhou, Yingjie Hu, Yumei Zhu, Hao
Author_xml	– sequence: 1 givenname: Hao surname: Zhu fullname: Zhu, Hao email: haozhu@scu.edu.cn organization: Key Laboratory of Deep Underground Science and Engineering (Ministry of Education), School of Architecture and Environment, Sichuan University, Chengdu, 610065, China – sequence: 2 givenname: Yingjie surname: Zhou fullname: Zhou, Yingjie organization: State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing, 400030, China – sequence: 3 givenname: Yumei surname: Hu fullname: Hu, Yumei organization: State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing, 400030, China
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SubjectTerms	Accuracy Accuracy control factor Algorithms Attenuation Computer simulation Displacement reconstruction Evaluation Finite element method Finite element simulation Integrals Integration LF noise Low-frequency attenuation algorithm Mathematical models Numerical study Vibration test Vibration tests
Title	Displacement reconstruction from measured accelerations and accuracy control of integration based on a low-frequency attenuation algorithm
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