Identification of Dynamic Loads Based on Second-Order Taylor-Series Expansion Method

A new method based on the second-order Taylor-series expansion is presented to identify the structural dynamic loads in the time domain. This algorithm expresses the response vectors as Taylor-series approximation and then a series of formulas are deduced. As a result, an explicit discrete equation...

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Main Authors: Xiaowang Li, Zhongmin Deng
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2016/6461427
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author Xiaowang Li
Zhongmin Deng
author_facet Xiaowang Li
Zhongmin Deng
author_sort Xiaowang Li
collection DOAJ
description A new method based on the second-order Taylor-series expansion is presented to identify the structural dynamic loads in the time domain. This algorithm expresses the response vectors as Taylor-series approximation and then a series of formulas are deduced. As a result, an explicit discrete equation which associates system response, system characteristic, and input excitation together is set up. In a multi-input-multi-output (MIMO) numerical simulation study, sinusoidal excitation and white noise excitation are applied on a cantilever beam, respectively, to illustrate the effectiveness of this algorithm. One also makes a comparison between the new method and conventional state space method. The results show that the proposed method can obtain a more accurate identified force time history whether the responses are polluted by noise or not.
format Article
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institution DOAJ
issn 1070-9622
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language English
publishDate 2016-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-c6917ee517fe4e8d8ddbf2f7ca9dfd5d2025-08-20T03:23:19ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/64614276461427Identification of Dynamic Loads Based on Second-Order Taylor-Series Expansion MethodXiaowang Li0Zhongmin Deng1School of Astronautics, Beihang University, 37 XueYuan Road, Haidian District, Beijing 100191, ChinaSchool of Astronautics, Beihang University, Beijing 100191, ChinaA new method based on the second-order Taylor-series expansion is presented to identify the structural dynamic loads in the time domain. This algorithm expresses the response vectors as Taylor-series approximation and then a series of formulas are deduced. As a result, an explicit discrete equation which associates system response, system characteristic, and input excitation together is set up. In a multi-input-multi-output (MIMO) numerical simulation study, sinusoidal excitation and white noise excitation are applied on a cantilever beam, respectively, to illustrate the effectiveness of this algorithm. One also makes a comparison between the new method and conventional state space method. The results show that the proposed method can obtain a more accurate identified force time history whether the responses are polluted by noise or not.http://dx.doi.org/10.1155/2016/6461427
spellingShingle Xiaowang Li
Zhongmin Deng
Identification of Dynamic Loads Based on Second-Order Taylor-Series Expansion Method
Shock and Vibration
title Identification of Dynamic Loads Based on Second-Order Taylor-Series Expansion Method
title_full Identification of Dynamic Loads Based on Second-Order Taylor-Series Expansion Method
title_fullStr Identification of Dynamic Loads Based on Second-Order Taylor-Series Expansion Method
title_full_unstemmed Identification of Dynamic Loads Based on Second-Order Taylor-Series Expansion Method
title_short Identification of Dynamic Loads Based on Second-Order Taylor-Series Expansion Method
title_sort identification of dynamic loads based on second order taylor series expansion method
url http://dx.doi.org/10.1155/2016/6461427
work_keys_str_mv AT xiaowangli identificationofdynamicloadsbasedonsecondordertaylorseriesexpansionmethod
AT zhongmindeng identificationofdynamicloadsbasedonsecondordertaylorseriesexpansionmethod