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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。
Considering the randomness and fuzziness of the damage information, an instantaneous stiffness matrix is constructed to reflect the overall state information of the structure. The change of the instantaneous stiffness matrix before and after the damage is measured by the matrix similarity and a new value is established based on the weight distribution of the importance of different parts of the bridge The stiffness damage index. According to the principle of fuzzification, the normal membership function is used to construct fuzzy sets of structural damage with overlapping relations. Taking the double-span bridge model as the verification platform, the maximum degree of membership is used to evaluate the damage degree of the model structure under various damage conditions. The results show that the proposed fuzzy assessment method for bridge damage degree does not depend on the probability distribution of similarity matrix and damage index, and embeds in the structural health monitoring system. It can provide the basis for the health diagnosis of active structures and has practical application value.