振型曲率在板类结构动力检测中的应用

Dynamic Damage Detection of Plate-Like Structure Using Curvature Mode Shapes

以四边简支方形弹性薄板为研究对象 ,通过数值计算得到板损伤前后的多阶模态参数 ,进而得到板面内两个方向的位移振型曲率并用于板的损伤检测研究。结果表明 :当布置有足够数量的振型测点时 ,振型曲率及板损伤前后的振型曲率差均可用于板损伤的探测与定位 ,并能大致判断损伤的程度 ;当振型测点间距过大 ,或测点偏离损伤区域时 。

Taking a square thin plate simply supported along its edge as an object of study,a study on the damage detection of the plate is made based on its displacement curvature mode shapes,which are derived from calculated modal parameters of the plate before and after its damage.Analytical results show that if sufficient points for measuring the mode shapes of the plate are arranged,the damage,including its location and extent,can be or can approximately be detected from the curvature mode shapes or their changes due to the damage;if the measuring points are arranged far apart from each other or from damaged regions,the detection would fail of success.