摘要
将统计分析中的 Bayes方法应用到参数识别问题中,提出了利用测量频率的 Bayes估计识别动力学模型的方法,该方法是基于广义逆特征值问题的解.考虑到试验数据的随机性,测量频率用正态分布来描述.此外,将工程师关于测量频率的置信度进行量化,并且与识别过程相结合.数值算例证明了这一方法的有效性.
The Bayesian method of statistical analysis has been applied to theparameter identification problem. A method is presented to identify parameters of dynamic models with the Bayes estimators of measurement frequencies. This is based on the solution of an inverse generalized eigenvalue prob- lem. The stochastic nature of test date is considered and a normal distribution is used for the mea- surement frequencies. An additional feature is that the engineer's confidence in the measurement fre- quencies is quantified and incorporated into the identification procedure. A numerical example demon- strates the efficiency of the method.
出处
《应用数学和力学》
EI
CSCD
北大核心
2000年第4期402-408,共7页
Applied Mathematics and Mechanics
关键词
参数识别
动力学模型
BAYES估计
结构分析
parameter identification
dynamic models
Bayes estimators
inverse eigenvalue prob- lem
prior distribution
posterior distribution