基于柔度曲率的板结构损伤识别的研究

Study on Plate Structural Damage Identification Based on Flexibility Curvature

按照Kirchhoff薄板假定对板结构进行单元划分,以结构的响应重建柔度矩阵,并通过二阶微分对柔度值的变化进行放大,进而得到柔度曲率矩阵用来损伤定位,再通过给出的等效柔度曲率变化率来判断损伤程度。算例分析表明,该方法损伤定位准确并且具有较高的灵敏度,避免了使用原未损结构的模态参数,所需损伤结构的模态少甚至只需一阶模态信息就可以有效地在进行损伤定位的同时判断损伤程度。

The plate structure was meshed according to the Kirchhoff thin plate assumption, the flexibility matrix could be rebuilt with regard to structure response, and the variation of flexibility could be amplified through second order differential coefficient to obtain the flexibility curvature matrix, then the damage degree could be estimated through equivalent curvature ratio. Examples indicated that the method can locate the damages exactly,which is highly sensitive and can also using original undamaged structure＇s mode parameters,and the damage can be detected with satisfactory precision by a few lower modes even the first mode.