正则化Bouc-Wen模型的参数研究及其在金属阻尼器中的应用

Due to the parameter redundancy in the traditional Bouc-Wen model, a normalized form of the Bouc-Wen model was introduced. Then the relations between the parameters of the normalized Bouc-Wen model and the hysteretic parameters of the corresponding metallic damper were studied. A parameter sensitivity analysis was also conducted for the normalized Bouc-Wen model by using the local sensitivity analysis method based on two different sensitivity indices. A parameter fitting method was also proposed using a modified simulated annealing algorithm and verified by experiments. The results show that the initial elastic stiffness k _d and the yield force F _dy are determined by the parameters k _x , k _w and ρ in the normalized Bouc-Wen model, the post-yield stiffness k' _d is determined by the parameter k _x , the yield displacement u _dy is determined by the parameter ρ, the relation between the shift stiffness k _s and the initial elastic stiffness k _d is determined by the parameter σ, and the smoothness of the transition from elastic to plastic response is determined by the parameter n. The parameters k _w and ρ exhibit higher sensitivity, while σ, k _x and n exhibit lower sensitivity. The modified simulated annealing algorithm is able to identify the parameters of the normalized Bouc-Wen model effectively, and the simulation hysteresis curves fit well with those by experiments.