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基于Novozhilov理论连续弯箱位移参数的动态Bayes估计   总被引:2,自引:0,他引:2  
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.  相似文献   
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混凝土桥梁拼接后收缩徐变计算方法分析   总被引:4,自引:1,他引:3  
叶见曙  温庆杰 《计算力学学报》2008,25(6):899-903,920
为分析混凝土收缩徐变对新旧拼接混凝土桥梁的影响,考虑每个计算步长内由混凝土收缩引起的应力的徐变作用和混凝土的弹性模量变化,根据能量原理推导了混凝土收缩徐变的位移法基本方程。分别按每个计算步长内应力为变值和常值,采用增量法推导了每个计算步长内收缩徐变的递推计算公式,并编制了相应的计算程序。对比分析表明,按每个计算步长内应力为变值的计算结果与实测值吻合良好,与每个计算步长内应力为常值相比,可以增大计算步长,减少叠加次数,大大加快程序计算速度。  相似文献   
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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.  相似文献   
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对于薄壁弯箱结构,推导了材料常数的动态 Bayes 误差函数,提出步长的一维 Fibonacci 序列自动寻优方案后,利用 Powell 优化理论研究了薄壁弯箱材料常数的动态识别方法,同时给出了具体的计算步骤,并研制了相应的计算程序.算例分析表明,Powell 理论用于弯箱材料常数识别时表现出良好的数值稳定性和收敛性,在迭代过程中,Powell 理论不涉及有限元偏导数处理,与以往材料常数的梯度优化方法相比,计算效率较高;建立的动态 Bayes 误差函数能同时计入系统参数的随机性和系统响应的随机性;提出的 Fibonacci 序列寻优方案无需通过试算确定最优步长所在区间,有效地解决最优步长的一维自动寻优问题.  相似文献   
5.
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。  相似文献   
6.
A dynamic Bayesian error function of material constants of the structure is developed for thin-walled curve box girders. Combined with the automatic search scheme with an optimal step length for the one-dimensional Fibonacci series, Powell’s optimization theory is used to perform the stochastic identification of material constants  of the thin-walled curve box. Then, the steps in the parameter identification are presented. Powell’s identification procedure for material constants of the thin-walled curve box is compiled, in which the mechanical analysis of the thin-walled curve box is completed based on the finite curve strip element (FCSE) method. Some classical examples show that Powell’s identification is numerically stable and convergent, indicating that the present method and the compiled procedure are correct and reliable. During the parameter iterative processes, Powell’s theory is irrelevant with the calculation of the FCSE partial differentiation, which proves the high computation efficiency of the studied methods. The stochastic performances of the system parameters and responses are simultaneously considered in the dynamic Bayesian error function. The one-dimensional optimization problem of the optimal step length is solved by adopting the Fibonacci series search method without the need of determining the region, in which the optimized step length lies.  相似文献   
7.
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.  相似文献   
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