新型准零刚度系统的设计、分析与仿真
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摘要
采用拉伸弹簧组成的负刚度机构与正刚度线性弹簧并联,设计出一种新型的拉伸式准零刚度隔振系统,可用于隔离低频或超低频振动。建立该系统的静力学模型,得到系统具有准零刚度特性时所需满足的条件;与一种压缩式隔振系统的力-位移曲线进行对比;分析垂向弹簧的调节对系统的影响;建立该系统在简谐位移激励下的非线性动力学方程,利用谐波平衡法求得系统的近似响应;与压缩式隔振系统的位移传递率曲线进行对比;探索系统各主要参数对响应的影响;建立Adams动力学模型,通过仿真结果来证明静力学模型的正确性,并模拟基座激励振动,证明了拉伸式准零刚度系统在低频或超低频隔振中的性能远优于线性系统。
Combining a negative stiffness mechanism composed of tension spring with a linear positive stiffness spring in parallel,a novel quasi-zero stiffness vibration isolation systemwas designed which can be used to isolate low or ultra-low vibration. The static model of the system was established and the condition of quasi-zero stiffness characteristics was obtained.The fore-displacement curves of the tension-type isolator and a compression-type isolator were compared. The effect of adjustment of vertical spring in the system was analyzed. The dynamic equation was established when the system was excited by a harmonic amplitude on the displacement and the equation was solved by using Harmonic Balance method. The displacement transmissibility curves of the tension-type and the compression-type isolators were also compared. The effect of the main parameters on response of the system was explored. ADAMS model was established and the static model was proved to be correct. The vibration simulation results prove that the quasi-zero stiffness system has greater advantage than linear system in low or ultra-low vibration isolation.
Combining a negative stiffness mechanism composed of tension spring with a linear positive stiffness spring in parallel,a novel quasi-zero stiffness vibration isolation systemwas designed which can be used to isolate low or ultra-low vibration. The static model of the system was established and the condition of quasi-zero stiffness characteristics was obtained.The fore-displacement curves of the tension-type isolator and a compression-type isolator were compared. The effect of adjustment of vertical spring in the system was analyzed. The dynamic equation was established when the system was excited by a harmonic amplitude on the displacement and the equation was solved by using Harmonic Balance method. The displacement transmissibility curves of the tension-type and the compression-type isolators were also compared. The effect of the main parameters on response of the system was explored. ADAMS model was established and the static model was proved to be correct. The vibration simulation results prove that the quasi-zero stiffness system has greater advantage than linear system in low or ultra-low vibration isolation.
引文
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[11]刘延柱,陈立群.非线性振动[M].北京:高等教育出版社,2001:57-66.LIU Yan Zhu,CHEN Li Qun.Nonlinear vibration[M].Beijing:Higher Education Press,2001:57-66(In Chinese).
[2]Carrella A,Brennan M J,Waters T P.Static analysis of apassive vibration isolator with quasi-zero-stiffness characteristic[J].Journal of Sound and Vibration,2007,301(3-5):678-689.
[3]Carrella A,Brennan M J,Kovacic I,et al.On the force transmissibility of a vibrationisolatorwith quasi-zero-stiffness[J].Journal of Sound and Vibration,2009,322(4-5):707-717.
[4]Carrella A,Brennan M J,Waters T P.Optimization of a Quasi-ZeroStiffness Isolator[J].Journal of Mechanical Science and Technology,2007(21):946-949.
[5]Danh L T,Ahn K K.Active pneumatic vibration isolation system using negative stiffness structures for a vehicle seat[J].Journal of Sound and Vibration,2014,333(5):1245-1268.
[6]Lan C,Yang S,Wu Y.Design and experiment of a compact quasizero-stiffness isolator capable of a wide range of loads[J].Journal of Sound and Vibration,2014,333(20):4843-4858.
[7]张建卓,李旦,董申,等.欧拉压杆在超低频垂直隔振系统中的应用研究[J].机械强度,2004(03):237-241.ZHANG Jian Zhou,LI Dan,DONG Shen,et al.Study on euler column spring used in ultra-low frequency vertical vibration isolation system[J].Journal of Mechanical Strength,2004(03):237-241(In Chinese).
[8]孟令帅,孙景工,牛福,等.新型准零刚度隔振系统的设计与研究[J].振动与冲击,2014,33(11):195-199.MENG Ling Shuai,SUN Jing Gong,NIU Fu,et al.Design and Analysis of a novel quasi-zero stiffness vibration isolation system[J].Journal of Vibration and Shock,2014,33(11):195-199(In Chinese).
[9]张月英.准零刚度隔振器的特性分析及实验研究[D].长沙:湖南大学,2013:41-42.ZHANG Yue Ying.On analytical and experimental assessment of quai-zero-stiffness isolator[D].Changsha:Hunan University,2013:41-42(In Chinese).
[10]张建卓,李旦,董申,等.精密仪器用超低频非线性并联隔振系统研究[J].中国机械工程,2004,15(01):71-73.ZHANG Jian Zuo,LI Dan,DONG Shen,et al.Study on ultra-low frequency parallel connection isolator used for precision instruments[J].China Mechanical Engineering,2004,15(01):71-73(In Chinese).
[11]刘延柱,陈立群.非线性振动[M].北京:高等教育出版社,2001:57-66.LIU Yan Zhu,CHEN Li Qun.Nonlinear vibration[M].Beijing:Higher Education Press,2001:57-66(In Chinese).