The dynamic response of structures with bounded uncertainties

被引:0
作者
Xia, Y. Y. [1 ,2 ]
Qiu, Z. P. [1 ]
Friswell, M. I. [2 ]
机构
[1] Beijing Univ Aeronaut & Astronaut, Inst Solid Mech, Beijing 100083, Peoples R China
[2] Univ Bristol, Dept Aerosp Engn, Bristol BS8 1TR, Avon, England
来源
PROCEEDINGS OF ISMA 2008: INTERNATIONAL CONFERENCE ON NOISE AND VIBRATION ENGINEERING, VOLS. 1-8 | 2008年
关键词
D O I
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中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Uncertainty plays an important role in the performance of structures. In this paper, we focus on the dynamic response of structures with bounded uncertainties, and present a new method, which is based on the vertex solution theorem, to determine the supremum and infimum of the dynamic response. This approach solves the exact interval for the first-order deviation of the dynamic response and avoids interval extension, where the length of the interval increases significantly due to the intermediate calculations. Hence, the only approximation in this method is that the second order terms in the equation of motion are neglected. Thus the method is more accurate than the perturbation method and provides tighter bounds on the response.
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页码:3963 / +
页数:4
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