基于Novozhilov理论连续弯箱位移参数的动态Bayes估计

Dynamic Bayesian Estimation of Displacement Parameters of Continuous Curve Box Based on Novozhilov Theory

推导了基于Novozhilov理论的简支弯箱有限曲条控制方程,并结合柔度法解决了连续弯箱的求解问题.建立了连续弯箱位移参数的动态Bayes误差函数,推导了相应的动态Bayes均值和方差表达式,提出步长的一维自动寻优方案后,结合共轭梯度法研究了连续弯箱位移参数的动态Bayes估计方法,同时给出了连续弯箱位移参数具体估计步骤.通过典型算例分析,总结了连续弯箱位移参数先验信息准确性判定方法及位移参数动态Bayes随机估计的其它重要结论.

The finite strip controlling equation of pinned curve box was deduced on the basis of Novozhilov theory and with flexibility method, the problem of continuous curve box was resolved. Dynamic Bayesian error function of displacement parameters of continuous curve box was founded for the first time. The corresponding formulas of dynamic Bayesian expoectation and variance were derived. After the method of solving the automatic search of step length was put forward, the optimization estimation computing formulas were also obtained by adapting conjugate gradient method. Then the steps of dynamic Bayesian estimation were given in detail. Through analysis of a classic example, the criterion of judging the precision of the known information is gained as well as some other important conclusions about dynamic Bayesian estimation of displacement parameters of continuous curve box.