基于共轭梯度法带隔板连续薄壁直箱位移参数的动态Bayes估计

推导了简支薄壁直箱有限条元控制方程,并结合柔度理论解决了带隔板连续薄壁直箱的超静定问题.基于Bayes定理,建立了带隔板连续薄壁直箱位移参数的动态Bayes误差函数,推导了相应的位移参数计算公式,并应用共轭梯度法研究了带隔板连续薄壁直箱位移参数的动态Bayes估计方法,同时给出了连续薄壁直箱位移参数的具体估计步骤,编制了相应的计算程序.通过典型算例分析可知,联合有限条元法和共轭梯度法进行带隔板连续薄壁直箱位移参数的动态Bayes估计是可行的,只需利用若干测点位移印能同时进行多参数估计,且先验信息合理时,迭代过程稳定地收敛于位移参数实际值.

Dynamic bayesian estimation of desplacement parameters of continuous thin walled straight box with segregating slab based on CG method

The finite strip controlling equation of pinned thin walled straight box is deduced and the indeterminate problem of continuous thin walled straight box with segregating slab is solved based on flexibility theory.With Bayesian theory,dynamic Bayesian error function of displacement parameters of thin walled straight box with segregating slab is derived and the corresponding formulas are deduced.The estimation computing formulas are also obtained by adapting conjugate gradient method.Then the steps of dynamic Bayesian estimation are given and the computing program is completed.Through analysis of a classic example,it is shown that with measured displacement values of the selected nodes,displacement parameters of continuous thin walled straight box with segregating slab can be estimated dynamically by using finite strip element method and conjugate gradient method together and the iterative processes are steadily convergent to the true values if the pre-known information is proper.