半主动控制接地式动力吸振器参数优化及性能比较
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摘要
将半主动开关型控制策略应用到接地式动力吸振器中,并进行性能分析和参数优化.首先,利用平均法求得两种半主动接地式动力吸振器的近似解析解,并与相应数值解对比,验证了解析解的正确性与高精度.然后,对两种半主动控制接地式动力吸振器进行参数优化,获得系统最优控制结果和对应最优参数,确定了半主动控制最优控制策略,对影响优化结果的三个关键参数进行了特性分析.最后,和另外两种传统吸振器对比,用随机激励进一步验证了半主动开关位移-速度控制策略(On-off DBG)最为有效.
Two semi-active control strategies are applied into the ground-hook Dynamic Vibration Absorber(DVA). The performance comparison and parameters optimization of the two semi-active DVAs are completed. Firstly, the approximate analytical solutions of two semi-active ground-hook DVAs are established by the averaging method. The comparisons between the analytical and numerical solutions are carried out, which verifies the correctness and satisfactory precision of the approximate analytical solutions. Secondly, the parameter optimization of semi-active displacement-based on-off ground-hook control(on-off DBG) DVA is completed. The relative optimal parameters are found and the optimal strategy is determined. The effects of three key parameters on the primary system are analyzed. In the end, the comparisons with two other traditional DVAs under the random excitation show that the semi-active on-off DBG strategy is more effective.
Two semi-active control strategies are applied into the ground-hook Dynamic Vibration Absorber(DVA). The performance comparison and parameters optimization of the two semi-active DVAs are completed. Firstly, the approximate analytical solutions of two semi-active ground-hook DVAs are established by the averaging method. The comparisons between the analytical and numerical solutions are carried out, which verifies the correctness and satisfactory precision of the approximate analytical solutions. Secondly, the parameter optimization of semi-active displacement-based on-off ground-hook control(on-off DBG) DVA is completed. The relative optimal parameters are found and the optimal strategy is determined. The effects of three key parameters on the primary system are analyzed. In the end, the comparisons with two other traditional DVAs under the random excitation show that the semi-active on-off DBG strategy is more effective.
引文
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2 Ormondroyd J,Den Hartog J P.The theory of the dynamical vibration absorber.ASME Journal of Applied Mechanics,1928,50(5):9～22
3 Hahnkam E.The damping of foundation vibrations at varying excitation frequency.Master of Architecture,1932,4(23):192～201
4 Brock J E.A note on the damped vibration absorber.ASME Journal of Applied Mechanics,1946,68(34):280～284
5 Asami T,Nishihara O T.Analytical and experimental evaluation of an air damped dynamic vibration absorber:design optimizations of the three-element type model.Journal of Vibration and Acoustics,1999,121(3):334～342
6 Ren M Z.A variant design of the dynamic vibration absorber.Journal of Sound and Vibration,2001,245(4):762～770
7 赵艳影,李昌爱.时滞动力吸振器抑制扭转系统的振动.动力学与控制学报,2013,11(1):36～41 (Zhao Y Y,Li C A.Vibration suppression of torsional vibration system by using the delayed vibration absorber.Journal of Dynamics and Control,2013,11(1):36～41 (in Chinese))
8 王孝然,申永军,杨绍普.接地式三要素型动力吸振器的H∞优化.动力学与控制学报,2016,14(5):448～453 (Wang X R,Shen Y J,Yang S P,H∞ optimization of the grounded three-element type dynamic vibration absorber.Journal of Dynamics and Control,2016,14(5):448～453 (in Chinese))
9 宋方臻,冯德振,宋波等.用电磁悬浮动力吸振器控制转子多频不平衡响应的方法.机械科学与技术,2004,23(4):170～173 (Song F Z,Feng D Z,Song B,et al.A method for controlling multifrequency unbalance response of a rotor with magnetically levitated dynamic absorber.Mechanical Science and Technology,2004,23(4):170～173 (in Chinese))
10 Huang S,Lian R.A dynamic absorber with active vibration control.Journal of Sound and Vibration,1994,178(3):323～335
11 Cho D S,Lee S M.Ship vibration control using a force adjustable mechanical actuator.Journal of Vibration and Control,1999,5(5):779～794
12 孙志卓,王全娟,王付山.一种主动电磁式动力吸振器的研究与设计.振动与冲击,2006,25(3):198～201 (Sun Z Z,Wang Q J,Wang F S.Study and Design of an active electro-magnetic dynamic vibration absorber.Journal of Vibration and Shock,2006,25(3):198～201 (in Chinese))
13 胡杰,牛红攀,张希农等.具有粘弹性电磁式主动动力吸振器主动控制实验研究.实验力学,2006,21(6):735～741 (Hu J,Niu H P,Zhang X N,et al.The experimental study on vibration control of viscoelasticity electromagnetic active dynamic absorber.Journal of Experimental Mechanics,2006,21(6):735～741 (in Chinese))
14 Kobori T.Experimental study on active variable stiffness system-active seismic response controlled structure.In:Proceedings of 4th World Conference Council on Tall Buildings and Urban Habitat,1990:561～572
15 李敏霞,刘季.电液式变刚度结构振动控制系统的稳定性分析.振动与冲击,1999,18(2):81～83 (Li M X,Liu J.Study on stability of vibration control system with variable-stiffness structure.Journal of Vibration and Shock,1999,18(2):81～83 (in Chinese))
16 Aizawa S,Fukao Y,Minewaki S,et al.An experimental study on the active mass damper.In:Proceedings of 9th World Conference on Earthquake Engineering,1987,5:871～876
17 Aizawa S,Hayamizu Y,Higashino M,et al.Experimental study of dual-axis active mass damper.In:Proceedings of the US National Workshop on Structural Control Research,1990:68～73
18 邓华夏,龚兴龙,张培强.磁流变弹性体调频吸振器的研制.功能材料,2006,37(5):790～792 (Deng H X,Gong X L,Zhang P Q,Tuned vibration absorber based on magnetorheological elastomer.Journal of Functional Materials,2006,37(5):790～792 (in Chinese))
19 Brennan M J.Vibration control using a tunable vibration neutralizer.Proceedings of the Institution of Mechanical Engineers,Part C:Journal of Mechanical Engineering Science,1997,211(2):91～108
20 Williams K,Chiu G,Bernhard R.Adaptive-passive absorbers using shape-memory alloys.Journal of Sound and Vibration,2002,249(5):835～848
21 Williams K A,Chiu G T C,Bernhard R J.Dynamic modeling of a shape-memory alloy adaptive tuned vibration absorber.Journal of Sound and Vibration,2005,280:211～234
22 Liu Y,Waters T P,Brennan M J.A comparison of semi-active damping control strategies for vibration isolation of harmonic disturbances.Journal of Sound and Vibration,2005,280:21～39
23 Koo J H,Ahmadian M.In search of suitable control methods for semi-active tuned vibration absorbers.Journal of Vibration and Control,2004,14:163～174
2 Ormondroyd J,Den Hartog J P.The theory of the dynamical vibration absorber.ASME Journal of Applied Mechanics,1928,50(5):9～22
3 Hahnkam E.The damping of foundation vibrations at varying excitation frequency.Master of Architecture,1932,4(23):192～201
4 Brock J E.A note on the damped vibration absorber.ASME Journal of Applied Mechanics,1946,68(34):280～284
5 Asami T,Nishihara O T.Analytical and experimental evaluation of an air damped dynamic vibration absorber:design optimizations of the three-element type model.Journal of Vibration and Acoustics,1999,121(3):334～342
6 Ren M Z.A variant design of the dynamic vibration absorber.Journal of Sound and Vibration,2001,245(4):762～770
7 赵艳影,李昌爱.时滞动力吸振器抑制扭转系统的振动.动力学与控制学报,2013,11(1):36～41 (Zhao Y Y,Li C A.Vibration suppression of torsional vibration system by using the delayed vibration absorber.Journal of Dynamics and Control,2013,11(1):36～41 (in Chinese))
8 王孝然,申永军,杨绍普.接地式三要素型动力吸振器的H∞优化.动力学与控制学报,2016,14(5):448～453 (Wang X R,Shen Y J,Yang S P,H∞ optimization of the grounded three-element type dynamic vibration absorber.Journal of Dynamics and Control,2016,14(5):448～453 (in Chinese))
9 宋方臻,冯德振,宋波等.用电磁悬浮动力吸振器控制转子多频不平衡响应的方法.机械科学与技术,2004,23(4):170～173 (Song F Z,Feng D Z,Song B,et al.A method for controlling multifrequency unbalance response of a rotor with magnetically levitated dynamic absorber.Mechanical Science and Technology,2004,23(4):170～173 (in Chinese))
10 Huang S,Lian R.A dynamic absorber with active vibration control.Journal of Sound and Vibration,1994,178(3):323～335
11 Cho D S,Lee S M.Ship vibration control using a force adjustable mechanical actuator.Journal of Vibration and Control,1999,5(5):779～794
12 孙志卓,王全娟,王付山.一种主动电磁式动力吸振器的研究与设计.振动与冲击,2006,25(3):198～201 (Sun Z Z,Wang Q J,Wang F S.Study and Design of an active electro-magnetic dynamic vibration absorber.Journal of Vibration and Shock,2006,25(3):198～201 (in Chinese))
13 胡杰,牛红攀,张希农等.具有粘弹性电磁式主动动力吸振器主动控制实验研究.实验力学,2006,21(6):735～741 (Hu J,Niu H P,Zhang X N,et al.The experimental study on vibration control of viscoelasticity electromagnetic active dynamic absorber.Journal of Experimental Mechanics,2006,21(6):735～741 (in Chinese))
14 Kobori T.Experimental study on active variable stiffness system-active seismic response controlled structure.In:Proceedings of 4th World Conference Council on Tall Buildings and Urban Habitat,1990:561～572
15 李敏霞,刘季.电液式变刚度结构振动控制系统的稳定性分析.振动与冲击,1999,18(2):81～83 (Li M X,Liu J.Study on stability of vibration control system with variable-stiffness structure.Journal of Vibration and Shock,1999,18(2):81～83 (in Chinese))
16 Aizawa S,Fukao Y,Minewaki S,et al.An experimental study on the active mass damper.In:Proceedings of 9th World Conference on Earthquake Engineering,1987,5:871～876
17 Aizawa S,Hayamizu Y,Higashino M,et al.Experimental study of dual-axis active mass damper.In:Proceedings of the US National Workshop on Structural Control Research,1990:68～73
18 邓华夏,龚兴龙,张培强.磁流变弹性体调频吸振器的研制.功能材料,2006,37(5):790～792 (Deng H X,Gong X L,Zhang P Q,Tuned vibration absorber based on magnetorheological elastomer.Journal of Functional Materials,2006,37(5):790～792 (in Chinese))
19 Brennan M J.Vibration control using a tunable vibration neutralizer.Proceedings of the Institution of Mechanical Engineers,Part C:Journal of Mechanical Engineering Science,1997,211(2):91～108
20 Williams K,Chiu G,Bernhard R.Adaptive-passive absorbers using shape-memory alloys.Journal of Sound and Vibration,2002,249(5):835～848
21 Williams K A,Chiu G T C,Bernhard R J.Dynamic modeling of a shape-memory alloy adaptive tuned vibration absorber.Journal of Sound and Vibration,2005,280:211～234
22 Liu Y,Waters T P,Brennan M J.A comparison of semi-active damping control strategies for vibration isolation of harmonic disturbances.Journal of Sound and Vibration,2005,280:21～39
23 Koo J H,Ahmadian M.In search of suitable control methods for semi-active tuned vibration absorbers.Journal of Vibration and Control,2004,14:163～174