A Study On The State Recognition Of Frame Structure Based On The Maximum Lyapunov Exponent

Based on the analysis of chaotic time sequence and the characterization to the system chaotic property from it's characteristic index, we established finite element model about ASCE Benchmark. Then we got 4 acceleration time sequence of Benchmark model by simulation of instantaneous excitation. At last, we made a experimental analysis on the maximum Lyapunov exponent. As the result shows, all maximum Lyapunov exponents are above zero. It means that chaotic phenomenon appears in the structure system. At the same time, maximum Lyapunov exponent shows it's sensitivity along with the evolution of structural condition. That is to say, the statement of structure could be reflected by the chaotic index of chaotic time sequence. Then we get new ideas on the study of safety assessment relied on the structural health monitoring.