Multi-scale structural dynamic equation and application of it in damage identification

By studying a structure of 3-story frame,the properties of dynamic parameters were investigated when damage occurred in structure.Applying wavelet transform,differential equation of multi-scale structural dynamic was obtained and the parameter recognition of damage identification was analyzed in structural dynamic system.For structural damage identification,it was described that the multi-scale dynamic equation can support more information of structural parameter variety than normal single dynamic equation.According to the feature of calculation of time-variety dynamic system in damage identification,the state space method was introduced to simulate structural damage progress.Finishing numerical simulation and temporal location of structural damage under different excitation load,two key problems were studied to be as follow: the sensitivity of signal of sensors from different location to damage alarming and the affection of frequency component of the excitement loads to distributing of damage information.The study has important significance in theory for reasonably to select sensor location,signal sampling frequency and scale of signal decomposing in structural health monitoring based on wavelet analysis.