Dynamic Bayesian estimation of displacement parameters of continuous curve box based on Novozhilov theory

The finite strip controlling equation of pinned curve box was deduced on basis of Novozhilov theory and with flexibility method, and the problem of continuous curve box was resolved. Dynamic Bayesian error function of displacement parameters of continuous curve box was found. The corresponding formulas of dynamic Bayesian expectation 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 stochastic estimation of displacement parameters of continuous curve box.

基于Novozhilov理论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.

基于Novozhilov理论薄壁弯箱位移参数的动态Bayes估计

基于Novozhilov理论推导了薄壁弯箱结构的有限曲条控制方程,并首次建立了薄壁弯箱位移参数的动态Bayes误差函数,推导了参数的动态Bayes均值和方差表达式,提出步长的一维自动搜索方案后,并结合共轭梯度法推导了薄壁弯箱位移参数的动态Bayes估计公式,同时给出了具体计算步骤。通过算例分析,总结了薄壁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估计的其它重要结论。

基于Novozhilov-柔度理论的连续弯箱梁桥位移参数Kalman滤波识别

为了有效评估和预测弯箱梁桥位移场、应力场,进行了连续弯箱梁桥位移参数的识别,推导了连续弯箱梁桥位移参数的Kalman滤波方程,同时基于Novozhilov-柔度理论,给出了弯箱梁桥位移参数Kalman滤波识别的具体步骤。研究结果表明:连续弯箱梁桥位移参数的Kalman滤波识别对位移参数滤波初始值的选取有较强的依赖性,位移参数滤波初始值选取恰当时,位移参数的Kalman滤波识别过程稳定收敛,且收敛于参数真值;滤波初始值选取不合理时,滤波过程易发散。

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。