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 |
DOI | 10.1016/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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