空间结构振动控制的阻尼器位置寻优分析
|
摘要
推导了基于阻尼器速度反馈的结构振动方程和状态控制方程,提出以控制系统闭环传递函数的H∞范数为位置寻优指标,提出基于结构动能和弹性能度量结构振动控制效果的指标.针对空间网格结构,利用遗传算法,在对阻尼器的布置位置实施二进制编码基础上,通过代际交叉和变异操作,寻找阻尼器优化位置.研究显示,本方法可有效寻找阻尼器的优化布置位置,有助于减小空间网格结构的振动反应.
Dynamic equations and state equations of spatial reticulated structure with MR dampers based on direct velocity feedback control strategy were given.The H∞ norm of closed-loop transfer function was adopted to be the optimization index,a new method for the placement optimization of MR dampers suitable for spatial reticulated structure was proposed.After binary coding for the MR dampers placement,genetic algorithm was employed to search the optimal placement.The control effect index was proposed through the combination of kinetic energy and potential energy of the structure.The numerical results show that the present method was efficient to find the optimal placements of MR dampers and can reduce the vibration response of spatial reticulated structure effectively.
Dynamic equations and state equations of spatial reticulated structure with MR dampers based on direct velocity feedback control strategy were given.The H∞ norm of closed-loop transfer function was adopted to be the optimization index,a new method for the placement optimization of MR dampers suitable for spatial reticulated structure was proposed.After binary coding for the MR dampers placement,genetic algorithm was employed to search the optimal placement.The control effect index was proposed through the combination of kinetic energy and potential energy of the structure.The numerical results show that the present method was efficient to find the optimal placements of MR dampers and can reduce the vibration response of spatial reticulated structure effectively.
引文
[1]BALAS M J.Trends in large space structure controltheory:fondest hopes,wildest dreams[J].IEEE TransAutomatic Control,AC-1982,27(3):522-536.
[2]CERMAK J E,KAWAKITA S,BIENKIEWICZ B,etal.Viscoelastic damping system to mitigate wind-in-duced dynamic response of long-span roof[A].Proceed-ings of Structural Engineers World Congress[C],SanFrancisco,1998.
[3]范峰,沈世钊.网壳结构的粘弹性阻尼器减振分析[J].地震工程与工程振动,2003,23(3):156-159.FAN Feng,SHEN Shi-zhao.Vibration reducing analy-sis and experimental study of viscous damper on reticula-ted shells[J].Earthquake Engineering and EngineeringVibration,2003,23(3):156-159.
[4]DYKE S J,SPENCER B F.Seismic response control u-sing multiple MR dampers[A].Proceedings of the 2thInternational Workshop on Structural Control[C],Hong Kong,1996.
[5]DYKE S J,SPENCER Jr B F,SAIN M K,et al.Mod-eling and control of magnet-orheological dampers forseismic response reduction[J].Smart Material Struc-tures,1996,5(5):565-575.
[6]ABDULLAH,MAKOLA M.Optimal location andgains of feedback controllers at discrete locations[J].AIAA Journal,1998,36(11):2109-2116.
[7]BALAS M J.Direct velocity feedback control of largespace structures[J].Journal of Guid.Control,1979,2(3):252-253.
[8]王德进.H2和H∞优化控制理论[M].哈尔滨:哈尔滨工业大学出版社,2001.WANG De-jin.H2andH∞Optimal Control Theory[M].Harbin:Press of Harbin Institute of Technology,2001.
[9]姜长生,吴庆宪,陈文华,等.现代鲁棒控制基础[M].哈尔滨:哈尔滨工业大学出版社,2005.JIANG Chang-sheng,WU Qing-xian,CHEN Wen-hua,et al.Present Base of Robust Control[M].Harbin:Press of Harbin Institute of Technology,2005.
[10]阳光,周岱,黄真.空间网格结构风振抑制的阻尼器位置与数量寻优[J].上海交通大学学报,2007,41(6):955-959.YANG Guang,ZHOU Dai,HUANG Zhen.Thequantity optimization and optimal placement of energyabsorbing dampers for wind-induced vibration reductionof space reticulated structures[J].Journal of ShanghaiJiaotong University,2007,41(6):955-959.
[11]GOLDBERG D E.Genetic Algorithms in Search,Opti-mization and Machine Learning,Reading(MA)[M].Addison-Wesley,1989.
[2]CERMAK J E,KAWAKITA S,BIENKIEWICZ B,etal.Viscoelastic damping system to mitigate wind-in-duced dynamic response of long-span roof[A].Proceed-ings of Structural Engineers World Congress[C],SanFrancisco,1998.
[3]范峰,沈世钊.网壳结构的粘弹性阻尼器减振分析[J].地震工程与工程振动,2003,23(3):156-159.FAN Feng,SHEN Shi-zhao.Vibration reducing analy-sis and experimental study of viscous damper on reticula-ted shells[J].Earthquake Engineering and EngineeringVibration,2003,23(3):156-159.
[4]DYKE S J,SPENCER B F.Seismic response control u-sing multiple MR dampers[A].Proceedings of the 2thInternational Workshop on Structural Control[C],Hong Kong,1996.
[5]DYKE S J,SPENCER Jr B F,SAIN M K,et al.Mod-eling and control of magnet-orheological dampers forseismic response reduction[J].Smart Material Struc-tures,1996,5(5):565-575.
[6]ABDULLAH,MAKOLA M.Optimal location andgains of feedback controllers at discrete locations[J].AIAA Journal,1998,36(11):2109-2116.
[7]BALAS M J.Direct velocity feedback control of largespace structures[J].Journal of Guid.Control,1979,2(3):252-253.
[8]王德进.H2和H∞优化控制理论[M].哈尔滨:哈尔滨工业大学出版社,2001.WANG De-jin.H2andH∞Optimal Control Theory[M].Harbin:Press of Harbin Institute of Technology,2001.
[9]姜长生,吴庆宪,陈文华,等.现代鲁棒控制基础[M].哈尔滨:哈尔滨工业大学出版社,2005.JIANG Chang-sheng,WU Qing-xian,CHEN Wen-hua,et al.Present Base of Robust Control[M].Harbin:Press of Harbin Institute of Technology,2005.
[10]阳光,周岱,黄真.空间网格结构风振抑制的阻尼器位置与数量寻优[J].上海交通大学学报,2007,41(6):955-959.YANG Guang,ZHOU Dai,HUANG Zhen.Thequantity optimization and optimal placement of energyabsorbing dampers for wind-induced vibration reductionof space reticulated structures[J].Journal of ShanghaiJiaotong University,2007,41(6):955-959.
[11]GOLDBERG D E.Genetic Algorithms in Search,Opti-mization and Machine Learning,Reading(MA)[M].Addison-Wesley,1989.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心