TIOC半主动控制算法在相邻结构地震响应控制上的应用
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摘要
在相邻结构间连接磁流变(MR)阻尼器可以有效减小两边建筑物的地震响应,同时也能通过控制建筑物之间的相对位移来防止碰撞。将基于信赖域的瞬时最优半主动控制算法(TIOC)应用于MR阻尼器连接的相邻结构振动控制问题中,首先由相邻结构动力方程出发建立了半主动控制问题的最优化方程组,进而得到TIOC半主动控制算法相应的带有限界约束的最小值问题在每个时间步求解TIOC最优半主动控制力。最后通过一安装有MR阻尼器的相邻建筑物的数值仿真分析对算法进行了验证。结果表明:T1OC半主动控制算法可以有效减小结构的地震响应;与Clipped-opti-mal控制算法相比在多阻尼器工况可以更好地控制相邻结构之间的相对位移;TIOC控制算法具有很好的适应性,可以通过改变算法中的控制目标函数使相应的控制效果发生明显改变,因此在实际应用中应该谨慎选取目标函数。
It is effective to install MR damper on an adjacent structure to mitigate its seismic responses and prevent pounding during earthquake.Here,trust-region-based instantaneous optimal semi-active control algorithm(TIOC) was induced to an adjacent structure with MR damper installed under earthquake excitations.Based on its equations of motion, the optimized equations of the semi-active control problem were built.And then the TIOC optimization problem subjected to a bound constraint was deduced,and the optimal semi-active control forces were calculated at every time step.Finally, simulation was conducted for an adjacent structure with MR dampers installed using TIOC algorithm.The results showed that the seismic responses of the adjacent structure can be reduced effectively;compared with Clipped-optimal control algorithm,TIOC algorithm is more capable of controlling the relative displacement between structures close to each other; TIOC algorithm has better adaptability;the controller's behavior can be significantly changed with the objective function and thus it should be selected carefully.
It is effective to install MR damper on an adjacent structure to mitigate its seismic responses and prevent pounding during earthquake.Here,trust-region-based instantaneous optimal semi-active control algorithm(TIOC) was induced to an adjacent structure with MR damper installed under earthquake excitations.Based on its equations of motion, the optimized equations of the semi-active control problem were built.And then the TIOC optimization problem subjected to a bound constraint was deduced,and the optimal semi-active control forces were calculated at every time step.Finally, simulation was conducted for an adjacent structure with MR dampers installed using TIOC algorithm.The results showed that the seismic responses of the adjacent structure can be reduced effectively;compared with Clipped-optimal control algorithm,TIOC algorithm is more capable of controlling the relative displacement between structures close to each other; TIOC algorithm has better adaptability;the controller's behavior can be significantly changed with the objective function and thus it should be selected carefully.
引文
[1]閤东东,朱宏平,蔡振.基于遗传算法的相邻结构优化阻尼分布研究[J].华中科技大学学报(城市科学版), 2008,25(4):211-214.
[2]Juang C H,Schuster M,Ou C Y,et al.Fully probabilistic framework for evaluating excavation-induced damage potential of adjacent buildings[J].Journal of Geotechnical and Geoenvironmental Engineering,2010,137(2):130-139.
[3]Zhu H P,lemura H,Wen Y P.A study of response control on the passive coupling element between parallel structures [J].Structural Engineering and Mechanics,2000,9(4): 383-396.
[4]Xu Y L,Yang Z.Inelastic seismic response of adjacent buildings linked by fluid dampers[J].Structural Engineering and Mechanics,2003,15(5):513 -534.
[5]姜南,李忠献.相邻结构地震反应MR阻尼器控制的仿真分析[J].地震工程与工程振动,2008,28(2):131 -136.
[6]Jung H J,Spencer B F,Ni Y Q.State-of-the-art of semiactive control systems using MR fluid dampers in civil engineering applications[J].Structural Engineering and Mechanics,2004,17(3 -4):493 -526.
[7]林伟,李忠献,倪一清.基于信赖域方法的MR阻尼器瞬时最优半主动控制[J].工程力学,2009,26(9):36- 42.49.
[8]林伟,李忠献,倪一清.基于信赖域方法的MR阻尼器瞬时最优半主动控制实验研究[J].振动工程学报, 2009,22(5):519-526.
[9]Lin W,Li Z X,Ding Y.Trust-region based Instantaneous Optimal Semi-active Control on Long-span Spatial Structure with MRF - 04K Damper[J].Journal of Earthquake Engineering and Engineering Vibration,2008,7(4):447 -464.
[10]Bharti S D,Dumne S M,Shrimali M K.Seismic response analysis of adjacent buildings connected with MR dampers [J].Engineering Structures,2010,32(8):2122 -2133.
[11]Rodriguez J F,Renaud J E,Wujek B A,et al.Trust region model management in multidisciplinary design optimization [J].Journal of Computational and Applied Mathematics, 2000,124(1-2):139-154.
[12]Li Z X,Xu L H.Performance tests and hysteresis model of MRF-04K damper[J].Journal of Structural Engineering, 2005,131(8):1303-1306.
[2]Juang C H,Schuster M,Ou C Y,et al.Fully probabilistic framework for evaluating excavation-induced damage potential of adjacent buildings[J].Journal of Geotechnical and Geoenvironmental Engineering,2010,137(2):130-139.
[3]Zhu H P,lemura H,Wen Y P.A study of response control on the passive coupling element between parallel structures [J].Structural Engineering and Mechanics,2000,9(4): 383-396.
[4]Xu Y L,Yang Z.Inelastic seismic response of adjacent buildings linked by fluid dampers[J].Structural Engineering and Mechanics,2003,15(5):513 -534.
[5]姜南,李忠献.相邻结构地震反应MR阻尼器控制的仿真分析[J].地震工程与工程振动,2008,28(2):131 -136.
[6]Jung H J,Spencer B F,Ni Y Q.State-of-the-art of semiactive control systems using MR fluid dampers in civil engineering applications[J].Structural Engineering and Mechanics,2004,17(3 -4):493 -526.
[7]林伟,李忠献,倪一清.基于信赖域方法的MR阻尼器瞬时最优半主动控制[J].工程力学,2009,26(9):36- 42.49.
[8]林伟,李忠献,倪一清.基于信赖域方法的MR阻尼器瞬时最优半主动控制实验研究[J].振动工程学报, 2009,22(5):519-526.
[9]Lin W,Li Z X,Ding Y.Trust-region based Instantaneous Optimal Semi-active Control on Long-span Spatial Structure with MRF - 04K Damper[J].Journal of Earthquake Engineering and Engineering Vibration,2008,7(4):447 -464.
[10]Bharti S D,Dumne S M,Shrimali M K.Seismic response analysis of adjacent buildings connected with MR dampers [J].Engineering Structures,2010,32(8):2122 -2133.
[11]Rodriguez J F,Renaud J E,Wujek B A,et al.Trust region model management in multidisciplinary design optimization [J].Journal of Computational and Applied Mathematics, 2000,124(1-2):139-154.
[12]Li Z X,Xu L H.Performance tests and hysteresis model of MRF-04K damper[J].Journal of Structural Engineering, 2005,131(8):1303-1306.
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