Eigenvalue analysis of structures with interval parameters using the second-order Taylor series expansion and the DCA for QB
文献类型：期刊论文
| 作者 | Qiu ZP(邱志平); Zhang, Xudong; Li Q(李琦)
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| 刊名 | Applied Mathematical Modelling
 |
| 出版日期 | 2017 |
| 卷号 | 49页码:680-690 |
| 关键词 | Interval parameters Second-order Taylor series expansion Eigenvalues of uncertain structures Quadratic programming problems DCA |
| ISSN号 | 0307-904X |
| 产权排序 | 1 |
| 通讯作者 | Li Q(李琦) |
| 中文摘要 | 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. |
| WOS标题词 | Science & Technology ; Technology ; Physical Sciences |
| 类目[WOS] | Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics |
| 研究领域[WOS] | Engineering ; Mathematics ; Mechanics |
| 关键词[WOS] | BUT-BOUNDED PARAMETERS ; EIGENVECTOR DERIVATIVES ; OPTIMIZATION ; COMPUTATION |
| 收录类别 | SCI ; EI |
| 语种 | 英语 |
| WOS记录号 | WOS:000404823100040 |
| 源URL | [http://ir.sia.cn/handle/173321/20756]  |
| 专题 | 沈阳自动化研究所_空间自动化技术研究室 |
| 作者单位 | 1.Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing, China 2.State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China 3.Beijing Aerospace Technology Institute, Beijing, China |
| 推荐引用方式 GB/T 7714 | Qiu ZP,Zhang, Xudong,Li Q. 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 | Qiu ZP,Zhang, Xudong,&Li Q.(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 | Qiu ZP,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. |
入库方式： OAI收割
来源：沈阳自动化研究所
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