rectangular thin plate with all through crack

 

 

GONG Jian1, LU Huan cai1,2, CHEN Zhen an1, ZHUANG Yi zhou3, JIN Jiang ming1

 

(1.College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310014, China;

 

2. Key Laboratory of Signal Processing of Zhejiang Province, Hangzhou 310014, China;

 

3. College of Civil Engineering, Fuzhou University, Fuzhou 350108, China)

 

 

Abstract: Aiming at the problem of the changes of natural frequencies and mode shapes of a clamped rectangular thin steel plate by an all through crack, the plates with different lengths of cracks and two center of cracks were simulated. First of all, ANSYS software was used to build finite element models. Then it′s calculated for 25 different lengths of cracks for both cases where cracks are paralleling to the short edges and at the center of thin plate as well as off the center of plate, and natural frequencies and mode shapes were obtained. The results indicate that the length and position of allthrough crack change the natural frequencies and mode shapes of the plates, and the length exceeding critical value and the center of crack around nodal line are two major factors to the mode cross over phenomena, which can provide the effective basis for the detection of plate like with an all through.

 

Key words: rectangular thin plate; all through crack; modal frequency; mode shape; mode cross over