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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。
The precise identification model of cracked cantilever beam is established by using large nonlinear finite element software ABAQUS. The relationship between the crack and natural frequency at different positions and lengths is analyzed in detail. The results show that the inherent frequency of the cantilever decreases with the existence of the crack, and the natural frequency decreases with the increase of the crack length. The closer the crack location is to the fixed branch, the greater the influence on the natural frequency. The change rate of natural frequency of cracked cantilever beam gradually decreases with the increase of order, and the smaller the order is, the greater the influence is.