GPC和LQR算法在压电摩擦阻尼隔震结构中的应用
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摘要
将压电摩擦阻尼器与叠层橡胶垫组成可控隔震系统,根据压电摩擦阻尼隔震系统的特性选择了线性二次型最优控制(LQR)和广义预测控制(GPC)作为整套隔震系统的控制算法,并将半主动控制算法作为控制输出策略;用时程分析法对结构的动力反应进行对比,验证了其隔振效果。结果表明:无论是多遇地震还是罕遇地震,这种隔震体系都可以大大降低结构的地震反应,其中各楼层加速度反应减小75%以上,层间位移减小70%~80%,结构的位移反应主要集中在隔震层;该控制算法大大降低了隔震层的位移,改善了控制效果。
Two kinds of intelligent control algorithms were chosen according to the characteristics of piezoelectric friction damper isolation system;linear quadratic regulator(LQR) and general predictive control(GPC) were chosen as the control algorithms of a complete set of isolation system,and semi-passive control algorithm was chosen as control output strategy.The isolation effect of the control algorithm was validated through contrasting dynamic reaction with time history analysis.The results show that earthquake reaction is significantly reduced in either frequently occurred earthquake or seldom occurred earthquake,accelerated speed of all drifts are reduced more than 75%,layer displacement is reduced 70% to 80%,displacement reaction of structure mainly concentrates on isolation drift,the control algorithm significantly reduces the displacement of isolation drift and improves the control effect.
Two kinds of intelligent control algorithms were chosen according to the characteristics of piezoelectric friction damper isolation system;linear quadratic regulator(LQR) and general predictive control(GPC) were chosen as the control algorithms of a complete set of isolation system,and semi-passive control algorithm was chosen as control output strategy.The isolation effect of the control algorithm was validated through contrasting dynamic reaction with time history analysis.The results show that earthquake reaction is significantly reduced in either frequently occurred earthquake or seldom occurred earthquake,accelerated speed of all drifts are reduced more than 75%,layer displacement is reduced 70% to 80%,displacement reaction of structure mainly concentrates on isolation drift,the control algorithm significantly reduces the displacement of isolation drift and improves the control effect.
引文
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[2]阎维明,周福霖,谭平.土木工程结构振动控制的研究进展[J].世界地震工程,1997,13(2):8-20.YAN Wei-ming,ZHOU Fu-lin,TAN Ping.Develop-ment of Vibration Control for Civil Engineering Struc-tures[J].World Information on Earthquake Engineer-ing,1997,13(2):8-20.
[3]XU X L,HE Q,KO J M.Dynamic Response of Damp-er-connected Adjacent Buildings Under Earthquake Ex-citation[J].Engineering Structures,1999,21(2):135-148.
[4]欧进萍,关新春,吴斌,等.智能型压电-摩擦耗能器[J].地震工程与工程振动,2000,20(1):81-86.OU Jin-ping,GUAN Xin-chun,WU Bin,et al.SmartPiezoelectric-friction Damper[J].Earthquake Engineer-ing and Engineering Vibration,2000,20(1):81-86.
[5]欧进萍,杨飏.压电-T型变摩擦阻尼器及其性能试验与分析[J].地震工程与工程振动,2003,23(4):171-177.OU Jin-ping,YANG Yang.Piezoelectric-T Shape Vari-able Friction Damper and Its Performance Tests andAnalysis[J].Earthquake Engineering and EngineeringVibration,2003,23(4):171-177.
[6]张玉良,汪洋,张铜生.橡胶垫隔震结构弹塑性动力分析[J].建筑结构,2003,33(1):64-67.ZHANG Yu-liang,WANG Yang,ZHANG Tong-sheng.Elasto-plastic Dynamic Analysis for the Struc-ture with the Rubber Bearing Base-isolation System[J].Building Structure,2003,33(1):64-67.
[7]邓雪松.隔震结构的设计与分析方法[J].世界地震工程,2000,16(4):118-123.DENG Xue-song.Design and Analysis Method of Isol-ated Structures[J].World Information on EarthquakeEngineering,2000,16(4):118-123.
[8]胡卫兵,王骏涛.压电摩擦阻尼隔震结构地震响应及控制分析[J].振动与冲击,2007,26(2):79-83.HU Wei-bing,WANG Jun-tao.Earthquake Responseand Control Analysis of Isolation Structure with Piezo-electric Friction Damper[J].Journal of Vibration andShock,2007,26(2):79-83.
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