含裂纹板的振动

VIBRATION OF CRACKED PLATE

本文研究了含裂纹板的振动。在估计出弯矩、扭矩和剪力联合作用下有限尺寸板的应力强度因子之后,提出了一种有限元法。以四边简支方板为例,计算了具有不同长度中心穿透裂纹板的固有频率,与已有文献获得的结果一致。该法的优点是大大地节约了计算时间,为含裂纹结构的振动分析提供了一种新的途径。

The vibration behavior of cracked plates is investigated. The stress intensity factors (SIF) of a finite plate with a thorough crack under bending, twisting, and shearing are estimated at first, The element stiffness matrix of the plate with crack is derived from an integration of SIF. A finite element model(FEM)of cracked plate is established consequently. By applying the FEM to a simply supported square plate with a center through crack, the eigenfrequencies are determined for different crack lengths. The results in this paper show a good agreement with those by the previous investigators. The suggested FEM for cracked plate provides a more efficitent computation technique for vibration analysis of structures with crack.