裂纹悬臂梁的数值模拟分析

Simulation and Analysis of Cracks in Cantilever Beam

利用大型非线性有限元软件ABAQUS建立裂纹悬臂梁的精确辨识模型,对不同位置、不同长度的裂纹与固有频率的关系进行了详细分析。结果表明:裂纹的存在使悬臂梁固有频率减小,且随着裂纹长度的增加,固有频率不断减小。裂纹位置越靠近固支端,对固有频率的影响就越大。裂纹悬臂梁固有频率的变化率随阶数增加而逐渐呈现出下降趋势,阶数越小影响越大。

Abstract： The establishment of precise cantilever beam crack identification model using non-linear finite element software ABAQUS in this study, analysis of the relationship with the natural frequency of crack location and crack length on the modal parameters. The results of the investigation show that the existence of cracks decreases the natural frequency of cantilever, and the longer the crack length, the smaller the effect of the natural frequency. And the more close to the crack location fixed-end, the greater the effect on the natural frequency. The rate of change of natural frequency of the cantilever beam crack gradually decreased with the increase of the order, and the smaller the order the greater the impact.