船用高静低动隔振器的设计及参数影响规律研究（英文）
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摘要
文章提出了一种由屈曲圆板和线性弹簧组成的隔振器,采用解析法和有限元法分别计算分析其屈曲模态,结果表明解析法与有限元法计算结果相吻合,验证了解析法的正确性。此外,通过采用有限元ANSYS软件计算分析其高静低动的刚度特性,验证了隔振器结构设计的合理性。最后,建立了高静低动隔振器的非线性动力学模型,进一步采用谐波平衡法分析其幅频特性,讨论了系统设计参数的影响规律。分析结果表明刚度比与隔振器的类型和非线性程度相关;此外,高静低动隔振器显示出具有典型的Duffing振子的频率跳跃现象。
A vibration isolator consisting of circular plate and linear spring with High-Static-Low-Dynamic Stiffness(HSLDS) is introduced. The buckling modes of the circular plate are analyzed by using analytical method and FEM respectively, and the results show that the analysis of analytical method is coincided with FEM analysis. Furthermore, the HSLDS characteristic of the vibration isolator is calculated and verified by using ANSYS software. Finally, a nonlinear mathematical model of HSLDS vibration isolator is developed and its amplitude-frequency characteristic is further analyzed by using the Increment Harmonic Balance(IHB) method, and the influence law of the system parameters on it is analyzed. The analysis results show that the stiffness ratio is a factor related to the type and degree of nonlinearity. Moreover, the HSLDS vibration isolator presents the typical jump phenomenon of the Duffing oscillator of amplitude-frequency characteristic.
A vibration isolator consisting of circular plate and linear spring with High-Static-Low-Dynamic Stiffness(HSLDS) is introduced. The buckling modes of the circular plate are analyzed by using analytical method and FEM respectively, and the results show that the analysis of analytical method is coincided with FEM analysis. Furthermore, the HSLDS characteristic of the vibration isolator is calculated and verified by using ANSYS software. Finally, a nonlinear mathematical model of HSLDS vibration isolator is developed and its amplitude-frequency characteristic is further analyzed by using the Increment Harmonic Balance(IHB) method, and the influence law of the system parameters on it is analyzed. The analysis results show that the stiffness ratio is a factor related to the type and degree of nonlinearity. Moreover, the HSLDS vibration isolator presents the typical jump phenomenon of the Duffing oscillator of amplitude-frequency characteristic.
引文
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[10]Liu X T,Huang X C,Hua H X.On the characteristics of a quasi-zero stiffness isolator using Euler buckled beam as negative stiffness corrector[J].Journal of Sound and Vibration,2013,332(14):3359-3376.
[11]Huang X C,Liu X T,Sun J Y,Zhang Z Y,Hua H X.Effect of the system imperfections on the dynamic response of a high-static-low-dynamic stiffness vibration isolator[J].Nonlinear Dynamics,2014,76(2):1157-1167.
[12]Shaw A D,Neild S A,Wagg D J,Weaver P M,Carrella A.A nonlinear spring mechanism incorporating a bistable composite plate for vibration isolation[J].Journal of Sound and Vibration,2013,332(24):6265-6275.
[13]Niu F,Meng L S,Wu W J,Sun J G.Design and analysis of a quasi-zero stiffness isolator using a slotted conical disk spring as negative stiffness structure[J].Journal of Vibroengineering,2014,16(4):1769-1785.
[14]Zhou J X,Wang X L,Xu D L,Bishop S R.Nonlinear dynamic characteristics of a quasi-zero stiffness vibration isolator with cam-roller-spring mechanisms[J].Journal of Sound and Vibration,2015,346:53-69.
[15]Cheng C,Li S M,Wang Y,Jiang X X.On the analysis of a piecewise nonlinear-linear vibration isolator with high-staticlow-dynamic-stiffness under base excitation[J].Journal of Vibroengineering,2015,17(7):3453-3470.
[16]Cheng C,Li S M,Wang Y,Jiang X X.On the analysis of a high-static-low-dynamic stiffness vibration isolator with time-delayed cubic displacement feedback[J].Journal of Sound and Vibration,2016,378:76-91.
[2]Rivin E I.Passive vibration isolation[M].New York:ASME Press,2001.
[3]Ibrahim R A.Recent advances in nonlinear passive vibration isolators[J].Journal of Sound and Vibration,2008,314(3-5):371-452.
[4]Carrella A,Brennan M J,Waters T P.Static analysis of a passive vibration isolator with quasi-zero stiffness characteristic[J].Journal of Sound and Vibration,2007,301(3-5):678-689.
[5]Carrella A,Brennan M J,Waters T P Jr,Lopes V.Force and displacement transmissibility of a nonlinear isolator with high-static-low-dynamic-stiffness[J].International Journal of Mechanical Sciences,2012,55(1):22-29.
[6]Carrella A.Passive vibration isolators with high-static-low-dynamic stiffness[D].Ph D thesis.ISVR,University of Southampton,2008.
[7]Zhou N,Liu K.A tunable high-static-low-dynamic stiffness vibration isolator[J].Journal of Sound and Vibration,2010,329(9):1254-1273.
[8]Robertson W S,Kidner M R F,Cazzolato B S,Zander A C.Theoretical design parameters for a quasi-zero stiffness magnetic spring for vibration isolation[J].Journal of Sound and Vibration,2009,326(1-2):88-103.
[9]Xu D L,Yu Q P,Zhou J X,Bishop S R.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]Liu X T,Huang X C,Hua H X.On the characteristics of a quasi-zero stiffness isolator using Euler buckled beam as negative stiffness corrector[J].Journal of Sound and Vibration,2013,332(14):3359-3376.
[11]Huang X C,Liu X T,Sun J Y,Zhang Z Y,Hua H X.Effect of the system imperfections on the dynamic response of a high-static-low-dynamic stiffness vibration isolator[J].Nonlinear Dynamics,2014,76(2):1157-1167.
[12]Shaw A D,Neild S A,Wagg D J,Weaver P M,Carrella A.A nonlinear spring mechanism incorporating a bistable composite plate for vibration isolation[J].Journal of Sound and Vibration,2013,332(24):6265-6275.
[13]Niu F,Meng L S,Wu W J,Sun J G.Design and analysis of a quasi-zero stiffness isolator using a slotted conical disk spring as negative stiffness structure[J].Journal of Vibroengineering,2014,16(4):1769-1785.
[14]Zhou J X,Wang X L,Xu D L,Bishop S R.Nonlinear dynamic characteristics of a quasi-zero stiffness vibration isolator with cam-roller-spring mechanisms[J].Journal of Sound and Vibration,2015,346:53-69.
[15]Cheng C,Li S M,Wang Y,Jiang X X.On the analysis of a piecewise nonlinear-linear vibration isolator with high-staticlow-dynamic-stiffness under base excitation[J].Journal of Vibroengineering,2015,17(7):3453-3470.
[16]Cheng C,Li S M,Wang Y,Jiang X X.On the analysis of a high-static-low-dynamic stiffness vibration isolator with time-delayed cubic displacement feedback[J].Journal of Sound and Vibration,2016,378:76-91.