基于单元模态应变能灵敏度的结构损伤统计识别

基于单元模态应变能灵敏度,采用概率统计的方法,提出一种同时考虑模型不确定性和测试噪声影响的损伤统计识别方法。首先,建立基于单元模态应变能灵敏度分析的结构损伤方程组,然后,通过摄动法推导出损伤结构刚度参数的统计特性,并运用损伤概率模型计算各单元的损伤存在概率。最后,用一简支梁数值模拟算例验证了该方法的有效性。研究结果表明:损伤概率越大,表明存在损伤的可能性越大;损伤单元的损伤存在概率大于非损伤单元的损伤存在概率;随着损伤程度的增加,损伤存在概率不断增加,而随着噪声水平的增加,损伤存在概率减小。

Statistical damage identification of structures based on element modal strain energy sensitivity

A statistical damage identification algorithm based on element modal strain energy sensitivity was developed to account for uncertainties existing in the structural model and measured vibration data.Firstly,an element modal strain energy-based damage detection method was proposed for detecting damage location and severity.Then the statistics of the structural stiffness parameters in the damaged state were estimated by the perturbation method.The probability of damage existence was estimated based on the pro...