The Vibration Control Analysis Of Stay-cable Based On Mixed Logical Dynamical Model

Long steel cables, such as used in cable-stayed bridges and other structures, areprone to vibration due to their own low mass, inherent damping and flexiblecharacteristics by the structure to which they are connected and by weather conditions.This vibration will bring greater security risk to the bridge construction, normal use andoperation, thus the research of vibration and the vibration of cables become veryimportant.Three types of dampers are considered in this study. The damper of primary ininterest is a general semiactive device, one that may exert any required dissipative force.However, comparison with passive linear viscous damper, similar to the oil dampersthat have been installed in numerous cable-stayed bridges, is vital to demonstrate theimprovements that may be possible with semiactive damping technology. Additionally,comparison with active control devices is useful as they bound the achievableperformance.Based on the analysis of three control methods of the cable damper, the cablesystem’s mixed logic dynamic model is established by introducing auxiliary variables.The simulation results show that the MLD model can reflect the dynamic characteristicsof the cable system vibration process well. On the numerical results, the cable system’sMLD model match state-space model almost unanimously which proved the validity ofthe MLD model. The superiority of the MLD model features:①After using HYSEDLlanguage, system’s modeling become more standardized and modular which conduciveto the development of large systems.②On computing numerical simulation time, MLDmodel consuming short which improve the operational efficiency of complex systems.Based on the hybrid systems modeling approach, the MLD model is applied toQiongzhou Strait bridge’s typical cable-stayed in the wind vibration control.This article was first deduced the structure of the hybrid system control cablebridge theory, based on mixed logical dynamical (MLD) model, key components andnon-state-dependent algorithm logic events (AI) of cable structural vibration controltechnology mixed semi-active control. The algorithm theory and critical structures withnon-state-dependent discrete events (AI) of complex nonlinear vibration controlprovides a unified mathematical method, to improve the system of control of civil engineering structures, levels and security is important for civil engineering andindustry at a high level security control in electric power, automotive, industrialautomation and other interdisciplinary fusion of great value.