基于混杂双稳定层合板的准零刚度隔振装置
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摘要
准零刚度隔振装置(quasi-zero stiffness,QZS)在其平衡位置处的刚度接近于零,能够有效地隔离加速度幅值较低的微振动.因此,准零刚度隔振装置在卫星等航天器结构的微振动抑制领域有较好的应用前景.准零刚度隔振装置通常由正刚度部件及负刚度部件并联而成.在众多准零刚度隔振装置概念中,负刚度部件通常需要多个弹性部件及特定约束边界形成负刚度特性,导致准零刚度隔振装置的整体质量及体积相对较大.然而,航天器结构对隔振装置的质量特性及安装空间提出较高要求,因此需开发新型准零刚度隔振装置,降低隔振装置的质量及体积以满足航天器结构的使用要求.本文提出了一种基于混杂双稳定复合材料层合板的准零刚度隔振装置.通过利用混杂双稳定复合材料层合板自身的负刚度特性,降低了准零刚度隔振装置的结构复杂程度.本文对提出的准零刚度隔振装置的力学原理进行说明,对其隔振效果进行了仿真分析,并进行了隔振效果验证试验.隔振试验表明,准零刚度隔振装置的振动传递率曲线不再具有峰值,其实际振动传递率低于具有相同正刚度的线性隔振系统.基于试验及仿真分析结果,本文对隔振装置隔振性能的影响因素进行了分析讨论.分析结果显示,隔震装置中线性弹簧刚度与双稳定层合板负刚度之间的差异以及微小装配误差将导致隔振装置的隔振效果出现降低.
A quasi-zero stiffness(QZS) vibration isolator has zero stiffness at its equilibrium position, and is efficient in isolating the low amplitude micro vibrations. Therefore, the QZS vibration isolators have excellent potential in applying on the micro vibration isolation of space structures, e.g. satellite structures. Normally, a QZS vibration isolator composes of a positive stiffness element and a negative stiffness element. In many concepts of QZS vibration isolators, the negative stiffness elements are inefficient in weight and volume, because they are normally combined by several components, and external restrains or forces are needed to stress certain components. As a result, the volume and weight of the QZS vibration isolators are unacceptable in some applications, such as space technology and aviation technology. In order to improve the weight and volume of QZS vibration isolators, in this study a novel QZS vibration isolator is put forward by applying the bistable composite laminates as negative stiffness element. The system of this QZS vibration isolator is greatly simplified because of the inherent negative stiffness of bistable laminates. The principle of this novel QZS vibration isolator is illustrated, and the performance of which is analyzed by finite element method. A prototype of the novel QZS vibration isolator is fabricated and is tested in experiment. Experimental results indicate that the acceleration transmission rate of the proposed QZS vibration isolator is much improved comparing with a linear spring isolator. Nevertheless, the tested results of the isolator are not as good as predicted via the finite element analysis. The in practice performance of the proposed QZS vibration isolator is analyzed and discussed. Finite element analysis illustrates that both manufacturing error and assembly error have significant negative influence on the practical performance of the proposed QZS vibration isolator, and the robustness of the isolator should be improved in the future work.
A quasi-zero stiffness(QZS) vibration isolator has zero stiffness at its equilibrium position, and is efficient in isolating the low amplitude micro vibrations. Therefore, the QZS vibration isolators have excellent potential in applying on the micro vibration isolation of space structures, e.g. satellite structures. Normally, a QZS vibration isolator composes of a positive stiffness element and a negative stiffness element. In many concepts of QZS vibration isolators, the negative stiffness elements are inefficient in weight and volume, because they are normally combined by several components, and external restrains or forces are needed to stress certain components. As a result, the volume and weight of the QZS vibration isolators are unacceptable in some applications, such as space technology and aviation technology. In order to improve the weight and volume of QZS vibration isolators, in this study a novel QZS vibration isolator is put forward by applying the bistable composite laminates as negative stiffness element. The system of this QZS vibration isolator is greatly simplified because of the inherent negative stiffness of bistable laminates. The principle of this novel QZS vibration isolator is illustrated, and the performance of which is analyzed by finite element method. A prototype of the novel QZS vibration isolator is fabricated and is tested in experiment. Experimental results indicate that the acceleration transmission rate of the proposed QZS vibration isolator is much improved comparing with a linear spring isolator. Nevertheless, the tested results of the isolator are not as good as predicted via the finite element analysis. The in practice performance of the proposed QZS vibration isolator is analyzed and discussed. Finite element analysis illustrates that both manufacturing error and assembly error have significant negative influence on the practical performance of the proposed QZS vibration isolator, and the robustness of the isolator should be improved in the future work.
引文
1 Ibrahim RA.Recent advances in nonlinear passive vibration isolators.Journal of Sound and Vibration,2008,314(3-5):371-452
2 Mizuno T.Vibration Isolation System Using Negative Stiffness.Croatia:Vibration Control,2010
3任龙龙.非线性隔振系统研究与应用.[硕士论文].哈尔滨:哈尔滨工程大学,2012(Ren Longlong.The research and application of nonlinear vibration isolation system.[Master Thesis].Harbin:Harbin Engineering University,2012(in Chinese))
4黄文虎,曹登庆,韩增尧.航天器动力学与控制的研究进展与展望.力学进展,2012,42(4):367-393(Huang Wenhu,Cao Dengqing,Han Zengyao.Advances and reands in dynamics and control of spacecrafts.Advances in mechianics,2012,42(4):367-393(in Chinese))
5 Shaw AD,Neild SA,Wagg D.Dynamic analysis of high static low dynamic stiffness vibration isolation mounts.Journal of Sound and Vibration,2013,332(6):1432-1455
6 Wu W,Chen X,Shan Y.Analysis and experiment of a vibration isolator using a novel magnetic spring with negative stiffness.Journal of Sound and Vibration,2014,333:2958-2970
7 Shaw AD,Neild SA.Relieving the effect of static load errors in nonlinear vibration isolation mounts through stiffness asymmetries.Journal of Sound and Vibration,2015,339:84-98
8王勇.汽车座椅的非线性准零刚度隔振技术研究.[博士论文].南京:南京航空航天大学,2016(Wang Yong.Research on the nonlinear 1uasi-zero-stiffness vibration isolation for vehicle seat.[PhDThesis].Nanjing:Nanjing University of Aeronautics and Astronautics,2016(in Chinese))
9 Qu D,Liu X,Shan Y,et al.A research of a two degrees nonlinear quasi-zero stiffness vibration isolation system.Proc//Inter-Nosie,Hamburg,2016:7360-7366
10陆泽琦,陈立群.非线性被动隔振的若干进展.力学学报,2017,49(3):550-564(Lu Zeqi,Chen Liqun.Some recent progrosses in nonlinear passive isolations of vibrations.Chinese Journal of Theoretical and Applied Mechanics,2017,49(3):550-564(in Chinese))
11 Lu Z,Ynag T,J.Brennan M,et al.Experimental investigation of a two-stage nonlinear vibration isolation system with highstatic-low-dynamic stiffness.Journal of Applied Mechanics,2017,84(021001):1-9
12 Zhang C,Ji C.Shock isolation performance of a novel quasi-zero stiffness displacement restrictor//Proc.24th International Congress on Sound and Vibration,London,7.23-7.27,2017:1-8
13 Alabuzhev P,Gritchin A,Kim L.Vibration Protecting and Mesauring System With Quasi-Zero Stiffness.New York:Hemisphere Publishing Co.,1989
14 Carrella A,Brennan MJ,Waters TP.Optimization of a quasi-zerostiffness isolator.Journal of Mechanical Science and Technology,2007,21(6):946-949
15 Robertson WS,Kidner MRF,Cazzolato BS.Theoretical design parameters for a quasi-zero stiffness magnetic spring for vibration isolation.Journal of Sound and Vibration,2009,326(1-2):88-103
16 Niu F,Meng L,Wu W,et al.Recent advances in quasi-zerostiffness vibration isolation systems.Applied Mechanics and Materials,2013,397-400:295-303
17 Sun X,Xu J,Jing XJ,et al.Beneficial performance of a quasi-zerostiffness vibration isolator with time-delayed active control.International Journal of Mechanical Sciences,2014,82:32-40
18 Wang Y,Li S,Cheng C.Investigation on a quasi-zero-stiffness vibration isolator under random excitation.Journal of Theoretical and Applied Mechianics,2016,54(2):621-632
19李东海,赵寿根,何玉金.正负刚度并联准零刚度隔振器的静态特性研究.强度与环境,2017,44(6):31-36(Li Donghai,Zhao Shougen,He Yujin.Study on static characteristic of a quasi-zerostiffness vibration isolator of positive and negative stiffness in parallel.Structure&Environment Engineering,2017,44(6):31-36(in Chinese))
20孙秀婷,富展展.一类新型多方向准零刚度隔振平台.力学季刊,2018,39(2):249-257(Sun Xiuting,Fu Zhanzhan.A novel multidirection quasi-zero-stiffness vibration isolation platform.Chinese Quarterly of Mechanics,2018,39(2):249-257(in Chinese))
21 Denoyer K,Johnson C.Recent achievements in vibration isolation systems for space launch and on-orbit applications//Proc.52nd International Astronautical Congress,Toulouse,France,2001
22 Dankowski.State of the art vibration isolation of large coordinate measuring machine with an adverse environment//Proc.2nd Euspen International Conference,Turin,Italy,2001
23 Winterflood J.High performance vibration isolation for gravitational wave detection.University of Western Australia,2001
24朱光楠.基于准零刚度特性的变压器抗震设计与隔振研究.[硕士论文].哈尔滨:哈尔滨工业大学,2017(Zhu Guangnan.Antiseismic and vibration isolation study on a nonlinear system with quasi-zero stiffness.[Master Thesis].Harbin:Harbin Institute of Technology,2017(in Chinese))
25 Dai F,Li H,Du S.Cured shape and snap-through of bistable twisting hybrid[0/90/metal]T laminates.Composites Science and Technology,2013,86(1):76-81
26 Shaw A,Neild S,Wagg D,et al.A nonlinear spring mechanism incorporating a bistable composite plate for vibration isolation.Journal of Sound and Vibration,2013,332(24):6265-6275
27 Hyer MW.The room-temperature shapes of four-layer unsymmetric cross-ply laminates.Journal of Composite Materials,1982,16(4):318
28戴福洪,张博明,杜善义.非对称复合材料薄层板固化变形及其应用.哈尔滨工业大学学报,2008,40(1):58-60(Dai Fuhong,Zhang Boming,Du Shanyi.Cured deformation and application of unsymmetric composite thin laminates.Journal of Harbin Institute of Technology,2008,40(1):58-60(in Chinese))
29 Arrieta AF,Neild SA,Wagg DJ.On the cross-well dynamics of a bi-stable composite plate.Journal of Sound and Vibration,2011,330(14):3424-3441
30 Moore M,Ziaei-Rad S,Firouzian-Nejad A.Temperature-curvature relationships in asymmetric angle ply laminates by considering the effects of resin layers and temperature dependency of material properties.Journal of Composite Materials,2014,48(9):1071-1089
31李昊.双稳定复合材料层板的构型分析及其动力学特性研究.[博士论文].哈尔滨:哈尔滨工业大学,2015(Li Hao.Configuration analysis and dynamics research of bistable composite laminates.[PhD Thesis].Harbin:Harbin Institute of Technology,2015(in Chinese))
2 Mizuno T.Vibration Isolation System Using Negative Stiffness.Croatia:Vibration Control,2010
3任龙龙.非线性隔振系统研究与应用.[硕士论文].哈尔滨:哈尔滨工程大学,2012(Ren Longlong.The research and application of nonlinear vibration isolation system.[Master Thesis].Harbin:Harbin Engineering University,2012(in Chinese))
4黄文虎,曹登庆,韩增尧.航天器动力学与控制的研究进展与展望.力学进展,2012,42(4):367-393(Huang Wenhu,Cao Dengqing,Han Zengyao.Advances and reands in dynamics and control of spacecrafts.Advances in mechianics,2012,42(4):367-393(in Chinese))
5 Shaw AD,Neild SA,Wagg D.Dynamic analysis of high static low dynamic stiffness vibration isolation mounts.Journal of Sound and Vibration,2013,332(6):1432-1455
6 Wu W,Chen X,Shan Y.Analysis and experiment of a vibration isolator using a novel magnetic spring with negative stiffness.Journal of Sound and Vibration,2014,333:2958-2970
7 Shaw AD,Neild SA.Relieving the effect of static load errors in nonlinear vibration isolation mounts through stiffness asymmetries.Journal of Sound and Vibration,2015,339:84-98
8王勇.汽车座椅的非线性准零刚度隔振技术研究.[博士论文].南京:南京航空航天大学,2016(Wang Yong.Research on the nonlinear 1uasi-zero-stiffness vibration isolation for vehicle seat.[PhDThesis].Nanjing:Nanjing University of Aeronautics and Astronautics,2016(in Chinese))
9 Qu D,Liu X,Shan Y,et al.A research of a two degrees nonlinear quasi-zero stiffness vibration isolation system.Proc//Inter-Nosie,Hamburg,2016:7360-7366
10陆泽琦,陈立群.非线性被动隔振的若干进展.力学学报,2017,49(3):550-564(Lu Zeqi,Chen Liqun.Some recent progrosses in nonlinear passive isolations of vibrations.Chinese Journal of Theoretical and Applied Mechanics,2017,49(3):550-564(in Chinese))
11 Lu Z,Ynag T,J.Brennan M,et al.Experimental investigation of a two-stage nonlinear vibration isolation system with highstatic-low-dynamic stiffness.Journal of Applied Mechanics,2017,84(021001):1-9
12 Zhang C,Ji C.Shock isolation performance of a novel quasi-zero stiffness displacement restrictor//Proc.24th International Congress on Sound and Vibration,London,7.23-7.27,2017:1-8
13 Alabuzhev P,Gritchin A,Kim L.Vibration Protecting and Mesauring System With Quasi-Zero Stiffness.New York:Hemisphere Publishing Co.,1989
14 Carrella A,Brennan MJ,Waters TP.Optimization of a quasi-zerostiffness isolator.Journal of Mechanical Science and Technology,2007,21(6):946-949
15 Robertson WS,Kidner MRF,Cazzolato BS.Theoretical design parameters for a quasi-zero stiffness magnetic spring for vibration isolation.Journal of Sound and Vibration,2009,326(1-2):88-103
16 Niu F,Meng L,Wu W,et al.Recent advances in quasi-zerostiffness vibration isolation systems.Applied Mechanics and Materials,2013,397-400:295-303
17 Sun X,Xu J,Jing XJ,et al.Beneficial performance of a quasi-zerostiffness vibration isolator with time-delayed active control.International Journal of Mechanical Sciences,2014,82:32-40
18 Wang Y,Li S,Cheng C.Investigation on a quasi-zero-stiffness vibration isolator under random excitation.Journal of Theoretical and Applied Mechianics,2016,54(2):621-632
19李东海,赵寿根,何玉金.正负刚度并联准零刚度隔振器的静态特性研究.强度与环境,2017,44(6):31-36(Li Donghai,Zhao Shougen,He Yujin.Study on static characteristic of a quasi-zerostiffness vibration isolator of positive and negative stiffness in parallel.Structure&Environment Engineering,2017,44(6):31-36(in Chinese))
20孙秀婷,富展展.一类新型多方向准零刚度隔振平台.力学季刊,2018,39(2):249-257(Sun Xiuting,Fu Zhanzhan.A novel multidirection quasi-zero-stiffness vibration isolation platform.Chinese Quarterly of Mechanics,2018,39(2):249-257(in Chinese))
21 Denoyer K,Johnson C.Recent achievements in vibration isolation systems for space launch and on-orbit applications//Proc.52nd International Astronautical Congress,Toulouse,France,2001
22 Dankowski.State of the art vibration isolation of large coordinate measuring machine with an adverse environment//Proc.2nd Euspen International Conference,Turin,Italy,2001
23 Winterflood J.High performance vibration isolation for gravitational wave detection.University of Western Australia,2001
24朱光楠.基于准零刚度特性的变压器抗震设计与隔振研究.[硕士论文].哈尔滨:哈尔滨工业大学,2017(Zhu Guangnan.Antiseismic and vibration isolation study on a nonlinear system with quasi-zero stiffness.[Master Thesis].Harbin:Harbin Institute of Technology,2017(in Chinese))
25 Dai F,Li H,Du S.Cured shape and snap-through of bistable twisting hybrid[0/90/metal]T laminates.Composites Science and Technology,2013,86(1):76-81
26 Shaw A,Neild S,Wagg D,et al.A nonlinear spring mechanism incorporating a bistable composite plate for vibration isolation.Journal of Sound and Vibration,2013,332(24):6265-6275
27 Hyer MW.The room-temperature shapes of four-layer unsymmetric cross-ply laminates.Journal of Composite Materials,1982,16(4):318
28戴福洪,张博明,杜善义.非对称复合材料薄层板固化变形及其应用.哈尔滨工业大学学报,2008,40(1):58-60(Dai Fuhong,Zhang Boming,Du Shanyi.Cured deformation and application of unsymmetric composite thin laminates.Journal of Harbin Institute of Technology,2008,40(1):58-60(in Chinese))
29 Arrieta AF,Neild SA,Wagg DJ.On the cross-well dynamics of a bi-stable composite plate.Journal of Sound and Vibration,2011,330(14):3424-3441
30 Moore M,Ziaei-Rad S,Firouzian-Nejad A.Temperature-curvature relationships in asymmetric angle ply laminates by considering the effects of resin layers and temperature dependency of material properties.Journal of Composite Materials,2014,48(9):1071-1089
31李昊.双稳定复合材料层板的构型分析及其动力学特性研究.[博士论文].哈尔滨:哈尔滨工业大学,2015(Li Hao.Configuration analysis and dynamics research of bistable composite laminates.[PhD Thesis].Harbin:Harbin Institute of Technology,2015(in Chinese))