结构振动的鲁棒可靠性  

Robust reliability of structural vibration

作　　者：王晓军[1] 邱志平[1] 

机构地区：[1]北京航空航天大学航空科学与工程学院,北京100083

出　　处：《北京航空航天大学学报》2003年第11期1006-1010,共5页Journal of Beijing University of Aeronautics and Astronautics

基　　金：国家自然科学基金资助项目 ( 10 172 0 13 );航空基金资助项目 ( 0 1B5 10 46)

摘　　要：以传统的结构振动概率设计方法为基础 ,用区间集 (超长方体 )将不确定变量定量化 ,降低了传统的概率统计方法对统计特性的过分要求 ,通过区间参数摄动法得到固有频率所在的区间集 ,建立了激振力频率与结构固有频率干涉的非概率模型 ,给出了结构振动鲁棒可靠性准则 .振动鲁棒可靠性的度量是通过结构避免发生共振所允许的不确定量的大小来体现的 .结构所能承受的不确定度越大就越可靠 ,反之就不可靠 ,在数学模型上表现为激振力频率区间集与结构固有频率区间集的偏序关系 .Based on the conventional probabilistic design methods of structural vibration, the uncertain variables were quantized by interval set (hyper-rectangle), and a non-probabilistic interference model between the exciting frequencies and the natural frequencies of a structure was established and a non-probabilistic method for reliability analysis was presented, called robust criterion of reliability of structural vibration. A measure of reliability is the amount of uncertainty that the structure can tolerate before resonance is occurred. The larger such amount is, the more reliable will be, and vice versa. It can be described as the partial order relation between the hype-rectangles in mathematics. Numerical example illustrates the feasibility of the presented non-probabilistic robust reliability criterion.

关 键 词：结构振动 区间数学 鲁棒可靠性 不确定变量 

分 类 号：O327[理学—一般力学与力学基础] TU311.3[理学—力学]