关联维数在梁式结构损伤检测中的应用

为探索有效实用的结构损伤检测方法,运用分形理论直接对结构振动信号进行关联维数分析,通过度量系统输出的奇异性来识别结构的局部损伤,提出了基于振动响应关联维数的结构损伤检测方法.简支梁损伤算例结果表明,该方法能够准确地检测出梁式结构单个和多个不同程度的损伤位置,同时关联维数指标变化值会随着损伤程度的增加而增大.与曲率模态指...

Application of Correlation Dimension in Damage Detection for Beam Structure

In order to explore the effective damage detection method for structure,the direct correlation dimension analysis of structural vibration signal is made according to fractal theory,and the structural damage is identified by measuring the singularity in system output.Then the damage detection method for structure,which is based on correlation dimension of vibration response,is proposed. The damage analysis results of a simply supported beam demonstrate that the proposed method can accurately detect the location of single-damage or multi-damage with different degrees in beam structure,and the alteration of correlation dimension will increase along with the damage degree.Compared with MCI index,the proposed index with strong noise immunity can detect structural damage more simply,and do not lie on the message of outer excitation.