根据灰色预测理论，以简支梁为例，应用残差辨识模型预测，对不同深度的裂纹梁固有频率进行了预测和残差检验研究，得出可以通过残差辨识预测对结构的损伤程度进行诊断． According to the grey prediction theory, the simple supported beam is taken as an example. Using the residual identification model prediction, the natural frequencies of crack beams with different depths are predicted and studied by residual test. It is concluded that the damage degree of the structure can be determined by the residual identification and prediction. diagnosis.