摘要
对于多室弯箱结构,基于误差理论建立了多室弯箱力学参数的非线性动态Markov误差函数和方差计算公式,并根据正交函数系理论推导了固体壳单元计算列式;利用直接优化理论研究了多室弯箱力学参数的动态识别方法,其中最优步长采用一维自动寻优方案确定。同时给出了多室弯箱力学参数的非线性动态Markov优化识别的具体步骤,并研制了相应的计算程序。研究结果表明:基于正交函数系理论构造的固体壳单元是正确的;动态误差函数能同时考虑多位移考察点和多量测次数的系统响应信息;直接理论用于多室弯箱力学参数的非线性Markov优化识别时表现出良好的数值稳定性和收敛性,具有较高的计算效率。
Based on theory of orthogonal function series,computational formula of solid shell element are derived for multi-cell curve box girder.Dynamic Markov error function of displacement parameters of the structure is founded.The corresponding formulas of dynamic expectation and variance are deduced.Combined with one-dimensional automatic search scheme of optimal step length,the direct optimization theory is utilized to research the nonlinear identification of displacement parameters of multi-cell curve box.Then the procedures of parameters' identification are presented in detail and the nonlinear Markov identification procedure of displacement parameters of multi-cell curve box is given.Through a classic example,it is obtained that solid shell element from theory of orthogonal function series is suitable for multi-cell curve box;dynamic Markov error function is efficient for systematic responses of multi nodes and multi times are simultaneously tackled.And the direct identification of displacement parameters of multi-cell curve box has numerical stability and convergence,which reveals that the proposed method and the procedure are correct and reliable with high efficiency.
出处
《应用力学学报》
CAS
CSCD
北大核心
2010年第4期746-750,共5页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金(10472045
10772078)
关键词
多室弯箱
力学参数
Markov误差函数
动态识别
收敛性
multi-cell curve box,displacement parameters,Markov error function,dynamic identification,convergenc.
