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利用中心差分法求取振型曲率,用损伤前后同一位置的振型曲率变化来作为结构损伤的识别指标。采用有限元方法,通过数值仿真对不同位置发生损伤的悬臂梁进行分析,利用构造的的损伤指标对结构损伤情况进行识别研究。在前人的研究基础上,特别提出了利用角度位移振型曲率变化来识别损伤。仿真算例表明:利用角度位移振型比平动位移振型识别损伤的效果更好、精度更高。
The central difference method is used to obtain the curvature of the mode shapes, and the curvature changes of the modes at the same position before and after the damage are used as the identification indexes of the structural damage. The finite element method is used to analyze the cantilever beams damaged by different locations by numerical simulation, and the structural damage is identified by using the constructed damage index. On the basis of previous studies, it is proposed to identify the damage by using the change of curvature of the angular displacement mode. The simulation results show that the use of angular displacement mode is more effective and accurate than the translational displacement mode.