一种沙漏型电磁隔振器的设计与研究
|
摘要
为了使隔振器在小幅振动时能保持良好的隔振性能,本研究提出了一种具有较高机电耦合性能的沙漏型电磁隔振器设计方法,并结合次优Bang-bang控制算法完成了隔振器的理论建模与隔振性能仿真分析。结果表明:在正弦基础位移激励下,当最大主动力为1.0 N时,共振峰处位移响应幅值下降了62.64%,且随着最大主动力的增大,控制效果变好;在随机激励下,当最大主动力分别为0.5 N和1.0 N时,位移响应的均方根值(RMS)分别下降49.12%和69.29%。因此,本研究所设计的沙漏型电磁隔振器在主动闭环控制下可实现良好的隔振效果,且相比传统电磁隔振器,具有不需要附加弹簧、所需控制电流小等优点。
In order to maintain a good isolation performance of the isolator under low amplitude disturbance. the design method of an hourglass-type electromagnetic isolator with high electromechanical coupling performance is proposed in this paper. Combining a suboptimal Bang-bang control algorithm, the theoretical modeling and performance simulation of the isolator are also completed. The results show that the displacement amplitude at the resonance peak can be decreased by 62.64% when the maximum active force is 1.0 N under the excitation of sinusoidal displacement, and the control effect becomes better with the increase of maximum active force. Also,the root of mean square(RMS) values of output displacement can be decreased by 49.12% and69.29% when the maximum active forces are 0.5 N and 1.0 N under the random excitation,respectively. The presented electromagnetic isolator has good vibration isolation effect under the active closed-loop control. Compared with the traditional electromagnetic isolator, the isolator has the advantages of not needing additional spring and small control current.
In order to maintain a good isolation performance of the isolator under low amplitude disturbance. the design method of an hourglass-type electromagnetic isolator with high electromechanical coupling performance is proposed in this paper. Combining a suboptimal Bang-bang control algorithm, the theoretical modeling and performance simulation of the isolator are also completed. The results show that the displacement amplitude at the resonance peak can be decreased by 62.64% when the maximum active force is 1.0 N under the excitation of sinusoidal displacement, and the control effect becomes better with the increase of maximum active force. Also,the root of mean square(RMS) values of output displacement can be decreased by 49.12% and69.29% when the maximum active forces are 0.5 N and 1.0 N under the random excitation,respectively. The presented electromagnetic isolator has good vibration isolation effect under the active closed-loop control. Compared with the traditional electromagnetic isolator, the isolator has the advantages of not needing additional spring and small control current.
引文
[1]孔宪京,林皋.核电厂工程结构抗震研究进展[J].中国工程科学,2013,15(4):62-74.
[2]凌明祥,刘谦,曹军义,等.压电位移放大机构的力学解析模型及有限元分析[J].光学精密工程,2016,24(4):812-818.
[3]QI K Q,XIANG Y,FANG C,et al.Analysis of the displacement amplification ratio of bridge-type mechanism[J].Mechanism&Machine Theory,2015,87:45-56.
[4]KIM J H,KIM S H,KWAK Y K.Development and optimization of 3-D bridge-type hinge mechanisms[J].Sensors&Actuators A Physical,2004,116(3):530-538.
[5]YAN B,ZHANG X,NIU H.Vibration isolation of a beam via negative resistance electromagnetic shunt dampers[J].Journal of Intelligent Material Systems&Structures,2012,23(6):665-673.
[6]TSUI J,IDEN D,STRNAT K,et al.The effect of intrinsic magnetic properties on permanent magnet repulsion[J].IEEE Transactions on Magnetics,2003,8(2):188-194.
[7]NIU H,ZHANG X,XIE S,et al.A new electromagnetic shunt damping treatment and vibration control of beam structures[J].Smart Materials and Structures,2009,18(4):045009.
[8]HOWELL L L,MAGLEBY S P,OLSEN B M.Handbook of Compliant Mechanisms[M].2013:93-107.
[9]FUNG R F,LIU Y T,WANG C C.Dynamic model of an electromagnetic actuator for vibration control of a cantilever beam with a tip mass[J].Journal of Sound&Vibration,2005,288(4):957-980.
[10]GUTMAN P O.Stabilizing controllers for bilinear systems[J].IEEE Transactions on Automatic Control,1981,26(4):917-922.
[11]朱宝益,蒋慰孙.双线性系统控制方案的研究[J].华东理工大学学报,1984,4:92-103.
[12]WU Z,SOONG T T.Modified Bang-Bang Control Law for Structural Control Implementation[J].Journal of Engineering Mechanics,1996,122(8):771-777.
[13]SEBASTIANELLI R,AUSTIN M A.Symbolic analysis of sub-optimal bang-bang control mechanisms in base isolated structures[J].Shock&Vibration,2013,16(2):195-211.
[2]凌明祥,刘谦,曹军义,等.压电位移放大机构的力学解析模型及有限元分析[J].光学精密工程,2016,24(4):812-818.
[3]QI K Q,XIANG Y,FANG C,et al.Analysis of the displacement amplification ratio of bridge-type mechanism[J].Mechanism&Machine Theory,2015,87:45-56.
[4]KIM J H,KIM S H,KWAK Y K.Development and optimization of 3-D bridge-type hinge mechanisms[J].Sensors&Actuators A Physical,2004,116(3):530-538.
[5]YAN B,ZHANG X,NIU H.Vibration isolation of a beam via negative resistance electromagnetic shunt dampers[J].Journal of Intelligent Material Systems&Structures,2012,23(6):665-673.
[6]TSUI J,IDEN D,STRNAT K,et al.The effect of intrinsic magnetic properties on permanent magnet repulsion[J].IEEE Transactions on Magnetics,2003,8(2):188-194.
[7]NIU H,ZHANG X,XIE S,et al.A new electromagnetic shunt damping treatment and vibration control of beam structures[J].Smart Materials and Structures,2009,18(4):045009.
[8]HOWELL L L,MAGLEBY S P,OLSEN B M.Handbook of Compliant Mechanisms[M].2013:93-107.
[9]FUNG R F,LIU Y T,WANG C C.Dynamic model of an electromagnetic actuator for vibration control of a cantilever beam with a tip mass[J].Journal of Sound&Vibration,2005,288(4):957-980.
[10]GUTMAN P O.Stabilizing controllers for bilinear systems[J].IEEE Transactions on Automatic Control,1981,26(4):917-922.
[11]朱宝益,蒋慰孙.双线性系统控制方案的研究[J].华东理工大学学报,1984,4:92-103.
[12]WU Z,SOONG T T.Modified Bang-Bang Control Law for Structural Control Implementation[J].Journal of Engineering Mechanics,1996,122(8):771-777.
[13]SEBASTIANELLI R,AUSTIN M A.Symbolic analysis of sub-optimal bang-bang control mechanisms in base isolated structures[J].Shock&Vibration,2013,16(2):195-211.