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Eigenvalue analysis of structures with interval parameters using the second-order Taylor series expansion and the DCA for QB
Li Q(李琦); Qiu ZP(邱志平); Zhang, Xudong
作者部门空间自动化技术研究室
关键词Interval Parameters Second-order Taylor Series Expansion Eigenvalues Of Uncertain Structures Quadratic Programming Problems Dca
发表期刊Applied Mathematical Modelling
ISSN0307-904X
2017
卷号49页码:680-690
收录类别SCI ; EI
EI收录号20172403770504
WOS记录号WOS:000404823100040
产权排序1
资助机构National Natural Science Foundation of China (Grants 11002013, 11372025, 11432002, 11602283), the Defense Industrial Technology Development Program (Grants A0820132001, JCKY2013601B ), the Aeronautical Science Foundation of China (Grant 2012ZA51010) and 111 Project (Grant B07009 ) for support.
摘要When the uncertainties in interval parameters are fairly large, the current analysis methods, which are usually based on the information of the first-order partial derivatives of eigenvalues, may not work well for the structural eigenvalue problem with interval parameters. To overcome this drawback, in this work, the structural eigenvalue problem with interval parameters is modeled as a series of QB (quadratic programming with box constrains) problems by taking advantage of the information of the second-order partial derivatives of eigenvalues. Then the series of QB problems would be solved by using the DCA (difference of convex functions algorithm) which is turn out be very effective for the QB problem. The specific examples, a concrete frame with sixty bars and a plate discretized with 300 finite elements, are given to show the effectiveness and feasibility of the proposed method compared with other methods.
语种英语
WOS标题词Science & Technology ; Technology ; Physical Sciences
WOS类目Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
关键词[WOS]BUT-BOUNDED PARAMETERS ; EIGENVECTOR DERIVATIVES ; OPTIMIZATION ; COMPUTATION
WOS研究方向Engineering ; Mathematics ; Mechanics
引用统计
被引频次:2[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.sia.cn/handle/173321/20756
专题空间自动化技术研究室
通讯作者Li Q(李琦)
作者单位1.State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China
2.Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing, China
3.Beijing Aerospace Technology Institute, Beijing, China
推荐引用方式
GB/T 7714
Li Q,Qiu ZP,Zhang, Xudong. Eigenvalue analysis of structures with interval parameters using the second-order Taylor series expansion and the DCA for QB[J]. Applied Mathematical Modelling,2017,49:680-690.
APA Li Q,Qiu ZP,&Zhang, Xudong.(2017).Eigenvalue analysis of structures with interval parameters using the second-order Taylor series expansion and the DCA for QB.Applied Mathematical Modelling,49,680-690.
MLA Li Q,et al."Eigenvalue analysis of structures with interval parameters using the second-order Taylor series expansion and the DCA for QB".Applied Mathematical Modelling 49(2017):680-690.
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