Study of Bridge Structural State Evolution Based on Nonlinear Vibration
Abstract »This paper analyzes bridge nonlinear vibration generating mechanism, Modeling the related Bridge Resilience to structural state and damage evolution. Firstly, obtain resilience expressions that contain squared item, cubic item, etc. nonlinear term by Energy Method. Secondly, creating a nonlinear vibration equation of the system by "three assumptions", constructing of structural damage evolution model combined with the relationship between the Restore Force and the structural state. Finally using Runge-Kutta numerical method analysis system dynamic characteristics, through the phase space trajectory, Poincaré section, Lyapunov exponent, Poincaré section radius based on Euclidean distance, the relationship between structural damage and its dynamics behavior were established respectively from the qualitative and quantitative. After analysis of damage evolution model.With deterioration of structural state obtained that with Phase space trajectory expanding, Poincaré section expanding gradually; Lyapunov exponent showed monotonically increasing or decreasing trend; Radius of the Poincaré section presents exponential increment state.
Biography: Jianxi Yang was born in 1977, He received the B.S. degree in Computer Science in 2000 from Chongqing Jiaotong University, Chongqing, China, the M.S. degree in Computer Science in 2007 from Chongqing University, Chongqing, China, and the Ph. D. degree in Bridge Engineering in 2011from Chongqing Jiaotong University, Chongqing, China. He is the author or coauthor of more than 20 journal papers and one edited books. His current research interests include complexity of bridge structure.
Affiliation: Chonqqing Jiaotong University 400074 Chongqing China