摘要
用算子方法研究了含随机参数结构动态特性的统计性质.将结构参数的随机性看成是结构参数在其均值附近的随机扰动,通过对一般弹性结构振动固有值的Rayleigh商变分,得到了结构动特性的扰动公式,并引入结构动态灵敏度的概念,得到了结构动特性的统计公式.最后给出了应用例子.
Stathtical properties of the dynamic characteristics of structures, including the random parameters , are studied by the opelator method. Random characteristics of structural parameters are taken as random perturbation around the mean value.Variations to Rayleigh's quotient of the eigenvalue of vibration for elastic structures are performed Perturbation formula of the structural dynamic characteristics can be obtained, leading to easily the concept of structural dynamic sensitivity, and arriving at the statistical formula for the structural dynamic charactristics. An illustrative example is finally given.
出处
《北京理工大学学报》
EI
CAS
CSCD
1996年第1期43-47,共5页
Transactions of Beijing Institute of Technology
关键词
随机振动
随机参数结构
动态特性
统计分析
random vibration, variation (mathematics), dynamic sensitivity, random perturbation, theoretical operator of structure
random eigenvalue