基于Lipschitz指数估计的含裂纹板损伤检测  

Damage Detection for the Cracked Plate Based on the Lipschitz Exponent Estimation

作　　者：李晓飞[1] 胡毓仁[1] 余音[2] 

机构地区：[1]上海交通大学船舶海洋与建筑工程学院,上海200030 [2]上海交通大学空天科学技术研究院,上海200030

出　　处：《船海工程》2010年第3期55-57,共3页Ship & Ocean Engineering

基　　金：国家自然科学基金(50479014)

摘　　要：对板的振动模态进行大间距二维采样,并用二维小波对得到的模态信号进行分解,判断损伤的大致位置。在损伤位置的附近分别沿平行于板两边的方向进行加密一维采样,对采样信号进行连续小波变换,求得各点在两个方向的Lipschitz指数,判断裂纹的具体位置和尺寸。用有限元法模拟一个含穿透裂纹的矩形板结构,求解其自由振动模态,模拟结果表明,本方法准确有效。The vibration modes of the cracked plate were obtained by two-dimensional sparse sampling. The sampling signal was decomposed by the two-dimension wavelet transform to identify roughly the damage location. Then the detail vibration modes of the cracked plate were obtained by one-dimensional dense sampling near the rough damage location along the two directions paralleling to the plate edges of the plate. The one-dimensional sampling signals were analyzed by the continuous wavelet transform to calculate the Lipschitz exponents of the points in two directions, which can be used to identify the accurate location of the crack. The FE modal analysis results of a plate with a through crack showed that the crack location can be identified quickly and accurately.

关 键 词：Lipschitz指数 含裂纹板 振动模态 损伤检测 

分 类 号：U661.1[交通运输工程—船舶及航道工程] TB123[交通运输工程—船舶与海洋工程]