SIA OpenIR  > 机器人学研究室
The exact extreme response and the confidence extreme response analysis of structures subjected to uncertain-but-bounded excitations
Li Q(李琦)1; Han JD(韩建达)1; Yang, Juntan2; Guo, Xu3
Department机器人学研究室
Source PublicationApplied Mathematical Modelling
ISSN0307-904X
2020
Volume77Pages:1742-1761
Indexed ByEI
EI Accession number20194507647831
Contribution Rank1
Funding OrganizationNational Natural Science Foundation of China (Nos.11602283, U1608253, 91748130) ; State Key Laboratory of Robotics (2017-Z17) ; National Key Research and Development Plan (2016YFB0201600, 2016YFB0201601) from the Ministry of Science and Technology of the People’s Republic of China ; Fundamental Research Funds for the Central Universities (DUT16RC(3)091)
KeywordUncertainties Interva l Euclidean norm Global optimality Confidence DCA
AbstractIn this study, the methods for computing the exact bounds and the confidence bounds of the dynamic response of structures subjected to uncertain-but-bounded excitations are discussed. Here the Euclidean norm of the nodal displacement is considered as the measurement of the structural response. The problem of calculating the exact lower bound, the confidence (outer) approximation and the inner approximation of the exact upper bound, and the exact upper bound of the dynamic response are modeled as three convex QB (quadratic programming with box constraints) problems and a problem of quadratic programming with bivalent constraints at each time point, respectively. Accordingly, the DCA (difference of convex functions algorithm) and the vertex method are adopted to solve the above convex QB problems and the quadratic programming problem with bivalent constraints, respectively. Based on the inner approximation and the outer approximation of the exact upper bound, the error between the confidence upper bound and the exact upper bound of dynamic response could be yielded. Specially, we also investigate how to obtain the confidence bound of the dynamic response of structures subjected to harmonic excitations with uncertain-but-bounded excitation frequencies. Four examples are given to show the efficiency and accuracy of the proposed method.
Language英语
Document Type期刊论文
Identifierhttp://ir.sia.cn/handle/173321/25869
Collection机器人学研究室
Affiliation1.State Key Laboratory of Robotics, Chinese Academy of Sciences, Shenyang Institute of Automation, Institutes for Robotics and Intelligent Manufacturing, Shenyang 110200, China
2.Department of Mechanical Engineering, Hong Kong Polytechnic University, Hung Hom
3.Kowloon, Hong Kong
4.Dalian University of Technology, Dalian, China
Recommended Citation
GB/T 7714
Li Q,Han JD,Yang, Juntan,et al. The exact extreme response and the confidence extreme response analysis of structures subjected to uncertain-but-bounded excitations[J]. Applied Mathematical Modelling,2020,77:1742-1761.
APA Li Q,Han JD,Yang, Juntan,&Guo, Xu.(2020).The exact extreme response and the confidence extreme response analysis of structures subjected to uncertain-but-bounded excitations.Applied Mathematical Modelling,77,1742-1761.
MLA Li Q,et al."The exact extreme response and the confidence extreme response analysis of structures subjected to uncertain-but-bounded excitations".Applied Mathematical Modelling 77(2020):1742-1761.
Files in This Item: Download All
File Name/Size DocType Version Access License
The exact extreme re(3151KB)期刊论文出版稿开放获取CC BY-NC-SAView Download
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Li Q(李琦)]'s Articles
[Han JD(韩建达)]'s Articles
[Yang, Juntan]'s Articles
Baidu academic
Similar articles in Baidu academic
[Li Q(李琦)]'s Articles
[Han JD(韩建达)]'s Articles
[Yang, Juntan]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Li Q(李琦)]'s Articles
[Han JD(韩建达)]'s Articles
[Yang, Juntan]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: The exact extreme response and the confidence extreme response analysis of structures subjected to uncertain-but-bounded excitations.pdf
Format: Adobe PDF
This file does not support browsing at this time
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.