基于虚功误差估计算子服役结构状态评估的统计分析

针对服役结构状态评估问题提出了基于虚功误差估计算子的统计分析方法.首先定义虚功误差来表达实际结构与参数化分析模型之间的差别,然后采用改进的牛顿算法推导分析模型结构识别算法.为了探讨在有测量误差的情况下算法的性能,引用Monte Carlo方法模拟测量数据,对测量数据的误差与识别结果的影响进行了详细的分析比较.根据识别结果确定它的概率分布,通过假设试验对服役结构状态评估进行统计分析.最后应用双跨五层刚架结构进行了大量数值模拟,计算结果显示了所提方法的有效性.

Statistical condition assessment of existing structures using virtual work error estimator

A statistical damage detection and condition assessment scheme for existing structures is developed.First a virtual work error estimator is defined to express the discrepancy between a real structure and its analytical model,with which a system identification algorithm is derived by using the improved Newton method.In order to investigate its properties in the face of measurement errors, the Monte Carlo method is introduced to simulate the measured data.Based on the identified results,their statistical distributions can be assumed,the status of an existing structure can be statistically evaluated by hypothesis tests.A 5-story,two-bay steel frame is used to carry out numerical simulation studies in detail,and the proposed scheme is proved to be effective.