弹性支承梁损伤识别的二步方法

采用边界为弹簧－集中质量梁模型，考虑梁振动时边界条件对频率与振型的影响。利用摄动原理，推导了由边界为弹簧－集中质量模态求等效的一端固支一端铰支简支梁振动模态的公式，进而采用广义逆方法识别一端固支－端铰支梁的损伤。以实例证明这种模态还原法与广义逆方法联合使用的二步损伤识别方法的准确性与实用性。

-supporting Beam with Two Step Method

In order to take account of the influence of boundary condition to vibration frequency and vibration shape,a beam model with spring_mass boundary is adopted.Based on perturbation theory,a formula is deducted to find the mode of a simple hinge pivot beam from the mode of a beam with spring_mass boundary,furthermore the damage of beam with spring_mass boundary is identified by using Pseudo_Inverse method with the mode of simple hinge pivot beam.An example is illustrated to show the practicality of the new damage identification method which incorporates Mode Reverse with Pseudo_Inverse and forms a two step method.