基于Novozhilov理论带隔板连续弯箱位移参数的动态Bayes估计

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带隔板连续弯箱的求解问题。首次建立了带隔板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带隔板连续弯箱位移参数的动态Bayes估计方法,同时给出了带隔板连续弯箱位移参数具体估计步骤。通过典型算例分析,总结了带隔板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。

Dynamic Bayesian Stochastic Estimation to Displacement Parameters of Continuous Curved Box with Segregating Slab

The finite strip controlling equation of pinned curved box is deduced based on Novozhilov theory and,the problem of continuous curved box with segregating slab is solved.Dynamic Bayesian error function of displacement parameters of continuous curved box with segregating slab is established.The corresponding formulas of dynamic Bayesian expectation and variance are deduced.Once the method of solving the automatic search of step length is put forward,the optimization estimation computing formulas are also obtained by adapting CG method.Analyzing a classic example,the criterion of judging the precision of the known information is proposed as well as some important conclusions about dynamic Bayesian stochastic estimation of displacement parameters of continuous curved box with segregating slab.