摘要
在刚架结构随机有限元方程的基础上,首次建立了刚架结构位移参数的动态Bayes误差函数,推导了相应的动态Bayes均值和方差表达式,提出多维参数估计步长的一维自动寻优方案后,结合CG法研究了刚架结构位移参数的动态Bayes随机估计方法,同时给出了刚架结构位移参数具体估计步骤。研究表明,动态Bayes随机估计方法能有效地动态估计刚架结构位移参数,具有迭代次数少、计算精度高、收敛速度快的优点,且能同时进行多参数估计;刚架结构位移参数的收敛性依赖于位移参数先验信息的准确性;动态Bayes方法也可用于其他位移参数的动态识别。
The stochastic finite element controlling equation of frame structure is deduced. Dynamic Bayes error function of displacement parameters for the frame structure is derived. The corresponding formulas of dynamic Bayes expectation and variance are deduced. After the method for solving the automatic search of the step length is completed, the optimization estimation computing formulas are also obtained based on CG method. Then the steps of dynamic Bayes stochastic estimation are given. Through analysis of an example, some important conclusions about dynamic Bayes stochastic estimation of displacement parameters of frame structure are drawn. And the dynamic stochastic identification method can also be used for the identification of other kinds of parameters.
出处
《南京航空航天大学学报》
EI
CAS
CSCD
北大核心
2007年第1期60-64,共5页
Journal of Nanjing University of Aeronautics & Astronautics
基金
国家自然科学基金(59809003)资助项目
关键词
刚架结构
位移参数
动态Bayes随机估计
CG法
frame structure
displacement parameters
dynamic Bayes stochastic estimation
CG method
