The authors recently developed a kind of non-probabilistic analysis method, named as‘non-random vibration analysis’, to deal with the important random vibration problems, in which the excitation and response are both given in the form of interval process rather than stochastic process. Since it has some attractive advantages such as easy to understand, convenient to use and small dependence on samples, the non-random vibration analysis method is expected to be an effective supplement of the traditional random vibration theory. In this paper, we further extend the nonrandom vibration analysis into the general viscous damping system, and formulate a method to calculate the dynamic response bounds of a viscous damping vibration system under uncertain excitations. Firstly, the unit impulse response matrix of the system is obtained by using a complex mode superposition method. Secondly, an analytic formulation of the system dynamic response middle point and radius under uncertain excitations is derived based on the Duhamel’s integral, and thus the upper and lower response bounds of the system can be obtained. Finally, two numerical examples are investigated to demonstrate the effectiveness of the proposed method.
类型: 期刊论文
作者: Chao JIANG,Long LIU,Jinwu LI,Bingyu NI
来源: Chinese Journal of Aeronautics 2019年12期
年度: 2019
分类: 工程科技Ⅱ辑
专业: 汽车工业
单位: State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University
基金: supported by the Science Challenge Project of China (No. TZ2018007),the National Science Fund for Distinguished Young Scholars (No. 51725502),the National Key R&D Program of China (No. 2016YFD0701105),the Open Project Program of Key Laboratory for Precision & Non-traditional Machining of Ministry of Education,Dalian University of Technology of China (No. JMTZ201701)
分类号: U461
页码: 2655-2666
总页数: 12
文件大小: 4716K
下载量: 9
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