基于Mindlin理论的Winkler地基参数动态Bayes识别  

DYNAMIC BAYESIAN IDENTIFICATION OF WINKLER SUBGRADE PARAMETER BASED ON MINDLIN THEORY

作　　者：赵新铭[1] 

机构地区：[1]南京航空航天大学土木工程系,江苏南京210016

出　　处：《工程力学》2007年第10期57-63,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(59809003)

摘　　要：基于Bayes理论,提出了Winkler地基参数的动态识别方法。引入Mindlin理论,并利用考虑横向剪切效应板的基本方程,推导了Winkler地基上Mindlin板的控制微分方程。应用Fourier变换技术,推求了Winkler地基上简支板的Fourier闭式解。首次建立了Winkler地基参数的动态Bayes误差函数,推导了地基参数的动态Bayes均值和方差表达式,提出步长的一维自动寻优方案后,并结合共轭梯度法给出了Winkler地基参数的动态Bayes识别步骤。研究表明:动态Bayes识别方法能有效地动态识别Winkler地基参数;Winkler地基参数的收敛性依赖于地基参数先验信息的准确性和考察点位移实测资料的准确性;动态Bayes方法也可用于其它地基模型地基参数的动态识别。Based on Bayesian theory, dynamic Bayesian identification method ofWinkler subgrade parameter is put forward. The differential equations of Mindlin plate on Winkler subgrade are derived by means of Mindlin theory as well as the governing equations of the plate which allow the transverse shear deformation to be existed. Through applying Fourier transformative technology, the corresponding solutions for the pinned plate on Winkler subgrade are obtained. Dynamic Bayesian error function of Winkler subgrade parameter is established on the first time. The formulas of dynamic Bayesian expectation and variance are deduced. After the approach of automatic step-length search is developed, the identification computing steps are given by adapting conjugate gradient method. Research shows that Winkler subgrade parameter can be efficiently identified by applying dynamic Bayesian identification method and the convergence property of Winkler subgrade parameter is depended on both the precision of pre-known information of Winkler subgrade parameter and that of the measured displacement data at the interested nodes. And this dynamic identification method can also be applied to the problem of identification for other kinds of subgrade parameters.

关 键 词：Winkler地基参数 动态Bayes识别 Mindlin理论 共轭梯度法 FOURIER变换 

分 类 号：TU451[建筑科学—岩土工程]