The exact extreme response and the confidence extreme response analysis of structures subjected to uncertain-but-bounded excitations

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	The exact extreme response and the confidence extreme response analysis of structures subjected to uncertain-but-bounded excitations
	Guo, Xu 1; Yang, Juntan 3; Han JD(韩建达)4 ; Li Q(李琦)4
刊名	Applied Mathematical Modelling
	2020
卷号	77 页码:1742-1761
关键词	Uncertainties Interva l Euclidean norm Global optimality Confidence DCA
ISSN号	0307-904X
产权排序	1
英文摘要	In 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.
语种	英语
资助机构	National 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)
内容类型	期刊论文
源URL	[http://ir.sia.cn/handle/173321/25869]
专题	沈阳自动化研究所_机器人学研究室
作者单位	1.Kowloon, Hong Kong 2.Dalian University of Technology, Dalian, China 3.Department of Mechanical Engineering, Hong Kong Polytechnic University, Hung Hom 4.State Key Laboratory of Robotics, Chinese Academy of Sciences, Shenyang Institute of Automation, Institutes for Robotics and Intelligent Manufacturing, Shenyang 110200, China
推荐引用方式 GB/T 7714	Guo, Xu,Yang, Juntan,Han JD,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	Guo, Xu,Yang, Juntan,Han JD,&Li Q.(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	Guo, Xu,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.