3σ法则在共振区划分中的应用  

Application of 3σ theorem in the partition of resonance zone

作　　者：陆勇星[1] 吴小明[1] 朱凌宏[1] 曹立娟[2] 

机构地区：[1]丽水职业技术学院机电信息分院,浙江丽水323000 [2]南京航空航天大学振动工程研究所,江苏南京210016

出　　处：《机械设计》2008年第1期48-50,共3页Journal of Machine Design

摘　　要：通过建立结构系统的数学模型,获得系统的频响函数曲线,从而确定系统的各阶固有频率。随后利用3σ法则对系统发生共振的各个危险频带(共振区)进行划分,最后估计出系统在受到外界随机激励条件下发生共振的模糊概率。给出一悬臂梁算例,验证了该方法的可行性与有效性。By means of establishing the mathematics model of structural system to obtain the frequency response curve of the system, the each ordered natural frequency of the system was accordingly determined. Soon afterwards the partition was carried out on every dangerous frequency band （resonance region ） that occurred resonance in the system by the use of 3σ theorem. The fuzzy probability of resonance occurred in the system falling under the condition of exterior stochastic excitation was finally estimated. A computational example of cantilever beam was presented and the feasibility and effectiveness of this method were verified.

关 键 词：频响函数 固有频率 法则 共振 模糊概率 

分 类 号：TU311.2[建筑科学—结构工程]