Optimal outrigger locations of outrigger-ATMD combined system under wind loads
A wind-induced optimal control model for a combination system of an outrigger system and an active tuned mass damper(ATMD)based on the pseudo-excitation method and optimal control theory was proposed.Firstly,the governing differential equations of motion of the outrigger system and the ATMD after coupling were derived,and the combined differential equations of motion were solved based on the pseudo-excitation method to develop a new numerical simplified model for this combination system.Based on the new numerical simplified model of the combination system,the optimal control force of the ATMD was solved using fixed-point theory(FPT)to obtain the optimal control force model of the combination system.The numerical simplified model and the optimal control force model were effectively superimposed to construct the optimal control model of the combination system.The FPT-based optimal control model was then compared to the linear quadratic regulator method-based optimal control model,the passive optimal control model and the no control model.Based on the FPT-based optimal control model,a single-parameter sensitivity analysis was conducted for the optimal outrigger location in the outrigger-ATMD combination system.The analysis gave the sensitivity of the optimal outrigger location to different structural influencing factors and the wind control effect of the ATMD on different types of outrigger systems.The results show that the effects of different control schemes are varied with the types of outrigger systems,and the control of the acceleration response by the active control scheme is better than that of the displacement response;compared with the pure outrigger system,the ATMD has little effect on the optimal outrigger location of the combination system under wind loads,and the optimal location has a very high sensitivity to the outrigger stiffness,the core stiffness,and the distance between the column and the core;damping in the main structure may limit the ability of ATMD to control structural response under wind loads.
万方数据
维普
