磁齿式非线性隔振器的分段动力学特性分析
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摘要
为研究错位磁齿结构所产生电磁力的分段特性对隔振性能的影响,首先,通过磁路分析给出了电磁负刚度机构的解析模型,并基于此建立了磁齿式非线性隔振系统的动力学模型。然后,采用平均法对隔振系统在定速度幅值基础激励下的动力学特性进行了理论分析,并采用数值方法对其加以验证。最后,以位移传递率作为评价指标,分析了基础激励速度幅值以及阻尼对于动力学特性的影响并通过与等效线性系统的对比评估了其隔振性能。结果表明:磁齿式非线性隔振器分段特性不会使系统隔振性能恶化,相反会使系统的承载能力以及有效工作范围分别得到加强和拓宽。
The effect of the piecewise electromagnetic force generated by an asymmetric tooth structure on the isolation performance is studied.First,the analytical expression of the electromagnetic force is derived using magnetic field analysis,and the corresponding dynamic model is built.Then,Theoretical analysis of the dynamic characteristics is conducted using averaging method,and the solution results are verified by numerical method.Finally,the influences of the base excitation velocity amplitude and the damping ratio on the dynamic characteristics are studied using displacement transmissibility.The research results show that the piecewise dynamic analysis system performs much batter than the equivalent linear or nonlinear system both in bearing capacity and working range.
The effect of the piecewise electromagnetic force generated by an asymmetric tooth structure on the isolation performance is studied.First,the analytical expression of the electromagnetic force is derived using magnetic field analysis,and the corresponding dynamic model is built.Then,Theoretical analysis of the dynamic characteristics is conducted using averaging method,and the solution results are verified by numerical method.Finally,the influences of the base excitation velocity amplitude and the damping ratio on the dynamic characteristics are studied using displacement transmissibility.The research results show that the piecewise dynamic analysis system performs much batter than the equivalent linear or nonlinear system both in bearing capacity and working range.
引文
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[2]王勇,李舜酩,程春.基于准零刚度隔振器的车-座椅-人耦合模型动态特性研究[J].振动与冲击,2016,35(15):190-196.Wang Yong,Li Shun-ming,Cheng Chun.Dynamic characteristics of a vehicle-seat-human coupled model with quasi-zero-stiffness isolators[J].Journal of Vibration and Shock,2016,35(15):190-196.
[3]李未,王登峰,陈书明,等.路面激励对汽车行驶平顺性影响的传递路径分析[J].吉林大学学报:工学版,2011,41(5):1193-1198.Li Wei,Wang Deng-feng,Chen Shu-ming,et al.Transfer path analysis of effect of road surface excitation on vehicle ride comfort[J].Journal of Jilin University(Engineering and Technology Edition),2011,41(5):1193-1198.
[4]王登峰,李未,陈书明,等.动力总成振动对整车行驶平顺性的传递路径分析[J].吉林大学学报:工学版,2011,41(增刊2):92-97.Wang Deng-feng,Li Wei,Chen Shu-ming,et al.Transfer path analysis of power train vibration on vehicle ride comfort[J].Journal of Jilin University(Engineering and Technology Edition),2011,41(Sup.2):92-97.
[5]Wu W,Chen X,Shan Y.Analysis and experiment of a vibration isolator using a novel magnetic spring with negative stiffness[J].Journal of Sound and Vibration,2014,333(13):2958-2970.
[6]Carrella A,Brennan M,Waters T.Static analysis of a passive vibration isolator with quasi-zero-stiffness characteristic[J].Journal of Sound and Vibration,2007,301(3):678-689.
[7]刘兴天,张志谊,华宏星.新型低频隔振器的特性研究[J].振动与冲击,2012,31(5):161-164.Liu Xing-tian, Zhang Zhi-yi, Hua Hong-xing.Characteristics of a novel low-frequency isolator[J].Journal of Vibration and Shock,2012,31(5):161-164.
[8]Meng L,Sun J,Wu W.Theoretical design and characteristics analysis of a quasi-zero stiffness isolator using a disk spring as negative stiffness element[J].Shock and Vibration,2015,813763.
[9]Xu D,Yu Q,Zhou J,et al.Theoretical and experimental analyses of a nonlinear magnetic vibration isolator with quasi-zero-stiffness characteristic[J].Journal of Sound and Vibration,2013,332(14):3377-3389.
[10]Zhou N,Liu K.A tunable high-static-low-dynamic stiffness vibration isolator[J].Journal of Sound and Vibration,2010,329(9):1254-1273.
[11]刘学广,韩超,张佳琪.一种采用非对称磁齿结构实现准零刚度特性的电磁式半主动隔振器[P].中国:CN105485230A,2016-04-13.
[12]王心龙,周加喜,徐道临.一类准零刚度隔振器的分段非线性动力学特性研究[J].应用数学和力学,2014,35(1):50-62.Wang Xin-long,Zhou Jia-xi,Xu Dao-lin.On piecewise nonlinear dynamic characteristics of a new-type quasi-zero-stiffness vibration isolator with cam-roller-spring mechanism[J].Applied Mathematics and Mechanics,2014,35(1):50-62.
[13]周卓亮.可变刚度隔振器研究[D].哈尔滨:哈尔滨工程大学动力与能源工程学院,2006.Zhou Zhuo-liang.Study on variable stiffness vibration isolator[D].Harbin:College of Power and Energy Engineering,Harbin Engineering University,2006.
[14]杨铁军,靳国永,刘志刚.船舶动力装置振动的主动控制[M].哈尔滨:哈尔滨工程大学出版社,2011.
[15]Liu X,Feng X,Shi Y,et al.Development of a semi-active electromagnetic vibration absorber and its experimental study[J].Journal of Vibration and Acoustics,2013,135(5):051015.
[16]石勇,宁一高,赵建辉,等.变齿距电磁作动器优化设计[J].农业机械学报,2016,47(6):394-400.Shi Yong,Ning Yi-gao,Zhao Jian-hui,et al.Optimal design of variable tooth electromagnetic actuator[J].Transactions of the Chinese Society for Agricultural Machinery,2016,47(6):394-400.