弹性支承梁损伤识别的二步方法

THE DAMAGE IDENTIFICATION OF SPRING-SUPPORTING BEAM WITH TWO STEP METHOD

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一端铰支梁的损伤。

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.