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An efficient and robust method for structural distributed load identification based on mesh superposition approach
Liu, He1,2,3; Liu, Quansheng2,4; Liu, Bin2; Tang, Xuhai4; Ma, Hao4; Pan, Yucong4; Fish, Jacob1
刊名MECHANICAL SYSTEMS AND SIGNAL PROCESSING
2021-04-01
卷号151页码:30
关键词Distributed load identification Inverse analysis Tikhonov regularization Non-negative least-squares
ISSN号0888-3270
DOI10.1016/j.ymssp.2020.107383
英文摘要Accurate load identification is vital for the structural optimization design and the structural health monitoring in different engineering disciplines. However, the external loads usually are difficult to determine with direct measurements. In the present manuscript, an efficient and robust method is proposed to identify the distributed static or quasi-static loads on linear-elastic structures. The superimposed loading mesh approach is proposed to map the unknown loads, and nodal values of the superimposed loading mesh are taken as inverse variables in the inverse problem. With this strategy, the inverse problem is converted to solving a set of linear equations which maps the relationship between the inverse variables and measured responses. To find the optimal solution, the modified second-order Tikhonov regularization method (TRM) is employed. Furthermore, to ensure the nonnegativity of the identified loads, the non-negative least squares (NNLS) is applied. Three numerical tests are employed to verify the feasibility of the proposed method. The results suggest that the distributed loads can be accurately identified, and that the inverse system is well-posed. The proposed method has been found to be robust that reasonable accuracy can be obtained even with significant measurement error. (C) 2020 Elsevier Ltd. All rights reserved.
资助项目Joint PhD Training Program of the University of Chinese Academy of Sciences ; Young Scholars Program of National Natural Science Foundation of China[41807250] ; Young Scholars Program of National Natural Science Foundation of China[41907256]
WOS研究方向Engineering
语种英语
出版者ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
WOS记录号WOS:000640530600019
内容类型期刊论文
源URL[http://119.78.100.198/handle/2S6PX9GI/27269]  
专题中科院武汉岩土力学所
通讯作者Liu, Quansheng
作者单位1.Columbia Univ, Dept Civil Engn & Engn Mech, New York, NY 10027 USA
2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Hubei, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
4.Wuhan Univ, Sch Civil Engn, Key Lab Safety Geotech & Struct Engn Hubei Prov, Wuhan 430072, Hubei, Peoples R China
推荐引用方式
GB/T 7714
Liu, He,Liu, Quansheng,Liu, Bin,et al. An efficient and robust method for structural distributed load identification based on mesh superposition approach[J]. MECHANICAL SYSTEMS AND SIGNAL PROCESSING,2021,151:30.
APA Liu, He.,Liu, Quansheng.,Liu, Bin.,Tang, Xuhai.,Ma, Hao.,...&Fish, Jacob.(2021).An efficient and robust method for structural distributed load identification based on mesh superposition approach.MECHANICAL SYSTEMS AND SIGNAL PROCESSING,151,30.
MLA Liu, He,et al."An efficient and robust method for structural distributed load identification based on mesh superposition approach".MECHANICAL SYSTEMS AND SIGNAL PROCESSING 151(2021):30.
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