中文摘要：

考虑损伤信息的随机性和模糊性,构建了反映结构整体状态信息的瞬时刚度矩阵;以矩阵相似度来衡量损伤前后瞬时刚度矩阵的变化并基于桥梁不同部位重要性的权重分配建立了一种新的刚度损伤指数。根据模糊化原理,采用正态隶属度函数构造出具有重叠关系的结构损伤程度模糊集。以双跨桥梁模型为验证平台,运用最大隶属度原则进行了各种损伤工况下模型结构的损伤程度模糊评定。研究表明：所提出的桥梁损伤程度模糊评定方法不依赖状态相似矩阵和损伤指数的概率分布,将其嵌入到结构健康监测系统中,可为现役结构的健康诊断提供依据,具有实际工程应用价值。

英文摘要：

With considerations of the uncertainties of damage such as randomness and fuzziness,the overall instantaneous stiffness matrix of the structure is established,and the matrix similarity is applied to measure the resemblance between the initial matrix and the damaged ones.On this basis,the stiffness damage index is established,considering the importance of different parts of the bridge.Then,a group of fuzzy sets representing standard damage states could be inferred with the normal membership function,and the maximum membership principle is used to identify the degree of structural damage.The proposed method is further demonstrated through a two-span bridge model and the results show that the fuzzy identification of damage degree could be achieved effectively without regard to the state similarity matrix and the probability distribution of the structural damage index.The method has the potential to be embedded into the Structural Health Monitoring System,and to give decision support to the structural maintenance and life prediction.