航空学报 > 1990, Vol. 11 Issue (11): 599-604

含裂纹板的振动

钱管良, 顾松年, 姜节胜   

  1. 西北工业大学
  • 收稿日期:1989-10-25 修回日期:1990-04-15 出版日期:1990-11-25 发布日期:1990-11-25

VIBRATION OF CRACKED PLATE

Qian Guanliang, Gu Songnian, Jiang Jiesheng   

  1. Northwestern Polytechnical University
  • Received:1989-10-25 Revised:1990-04-15 Online:1990-11-25 Published:1990-11-25

摘要: 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。

关键词: 裂纹, 板, 振动, 应力强度因子, 有限元法

Abstract: 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.

Key words: crack, plate, vibration, strength intensity facter, finite element method