【摘要】 将结构的裂纹损伤用δ函数进行表达,建立了损伤条件下悬臂梁的自由振动方程。利用一阶摄动方法给出了摄动项的一般表达式,并结合δ函数的性质,获得了受损悬臂梁的特征值和模态振型的解析表达式。以一个受损悬臂梁为数值算例,计算了不同损伤条件下其模态参数的变化。分析了损伤条件对模态参数的影响,为利用动力学特性对悬臂梁的损伤监控和检测提供了理论依据。更多还原

【Abstract】 This paper presented a novel approach to calculate the modal parameters of damaged cantilever-beam. Above all, the Delta function approach was employed to describe the slot damage and derive the governing equation for the damaged cantilever-beam. Then, by the virtue of first-order perturbation, the eigenvalues and corresponding mode shapes were obtained for the damaged cantilever-beam. Finally, we took a simple cantilever-beam as numerical example to calculate the modal parameters, and the effects of damage on modal parameters were discussed. It is believed that the proposed approach can provide the necessary theoretical background for damage identification in cantilever-beam.更多还原