期刊文献+

阻尼对耦合非线性能量阱系统影响研究 被引量:22

Influence of structural damping on a system with nonlinear energy sinks
下载PDF
导出
摘要 研究了耦合非线性能量阱的非保守系统的定向能量传递现象。基于复变量平均法推导含有阻尼参数的系统慢变方程,求解出系统能量与各参数近似关系,获得了系统能够实现定向能量传递时阻尼必须满足的条件,并给出了非线性能量阱具有吸振能力时线性振子阻尼有效范围,最后数值分析验证上述研究结果。 Here,targeted energy transfer was investigated in a non-conservative system with nonlinear energy sinks.Firstly,the system slowly-varying equation containing damping parameters was derived based on the complex-averaging method.Then,the approximate relationships between the system energy and parameters were solved,the necessary conditions satisifed by damping to realize system's targeted energy transfer were achieved.The effective range of a linear oscillator's damping during nonlinear energy sinks having the capacity of vibration suppression was gained.At last,the above study results were verified with numerical simulations.
出处 《振动与冲击》 EI CSCD 北大核心 2015年第11期116-121,共6页 Journal of Vibration and Shock
基金 国家自然科学基金(51375109) 哈尔滨工业大学科研创新基金(HIT.NSRIF.2014027)
关键词 非线性能量阱 定向能量传递 立方刚度 阻尼约束 振动抑制 nonlinear energy sink targeted energy transfer cubic stiffness damping conditions vibration suppres-sion
  • 相关文献

参考文献12

  • 1Barry H, Khaki M, Mark S, et al. Advancing ORS technologies and capabilities with a space tourist suborbital vehicle [ C ]//AIAA SPACE 2009 Conference. California. 2009:14 -17.
  • 2Andrew D S. QuickSAT/step_SATdb-A satellite cQncurent design automation and design fox manufacturabi!lty cloud based environment for PnP based satellites[ J]. AIAA. 2011 : 29 -31.
  • 3Gendelman O V, Manevitch L I, Vakakis A F. Energy pumping in nonlinear mechanical oscillators: Part I Dynamics of The underlying Hamihonian systems [ J ]. Journal of Applied Mechanics, 2001, 68( 1 ) : 34 -41.
  • 4Vakakis F, Gendelman O V. Energy pumping in coupled mechanical oscillators, Part II: resonance capture [ J ]. Journal of Applied Mechanics, 2001, 68:42-48.
  • 5Manevitch L L The description of localized normal modes in a chain of nonlinear coupled oscillators using complex variables [J]. Nonlinear Dynamics, 2001, 25: 95- 109.
  • 6Gendelman O V, Gorlov D V, Manevitch L I, et al. Dynamics of coupled linear and essentially nonlinear oscillators with substantially different masses [ J ]. Journal of Sound and Vibration, 2005, 286 : 1 - 19.
  • 7张也弛,孔宪仁,张红亮.非线性耦合振子间的靶能量传递研究:保守系统中的完全能量传递[J].振动与冲击,2012,31(1):150-155. 被引量:18
  • 8Manevitch L I, Gourdon E, Lamarque C H. Towards the design of an optimal energetic sink in a strongly inhomogeneous two-degree-of-freedom system [ J ]. Journal of Applied and Mechanics, 2007, 74 : 1078 - 1086.
  • 9张也弛,孔宪仁.非线性耦合振子间产生靶能量传递的初始条件[J].哈尔滨工业大学学报,2012,44(7):21-26. 被引量:17
  • 10Nguyen T A, Pemot. S. Design criteria for optimally tuned nonlinear energy sinks Part I: transient regime[ J]. Nonlinear Dynamics, 2012, 69:1 -19.

二级参考文献29

  • 1Kopidakis G, Aubry G, Tsironis P. Targeted energy transfer through discrete breathers in nonlinear systems [ J ]. Physical Review Letters, 2001, 87: 165501.
  • 2Gendelman O, Manevitch L, Vakakis A F, et al. Energy pumping in coupled mechanical oscillators, part I: dynamics of the underlying Hamiltonian systems[ J]. Journal of Applied Mechanics, 2001, 68:34-41.
  • 3Gendelman O, Gorlov D, Manevitch L, Musienko A. Dynamics of coupled linear and essentially nonlinear oscillators with substantially different masses [ J]. Journal of Sound and Vibration, 2005, 286 : 1 - 19.
  • 4Lee Y, Kerschen G, Vakakis A F, et al. Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment [ J]. Physica D, 2005, 204 ( 1 2) :41 - 69.
  • 5Kerschen G, Lee Y, Vakakis A F, et al. Irreversible passive energy transfer in coupled oscillators with essential nonlinearity [J]. SIAM Journal on Applied Mathematics, 2006, 66 (2) : 648 - 679.
  • 6Kerschen G, Gendelman O, Vakakis A F, et al. Impulsive periodic and quasi-periodic orbits of coupled oscillators with essential stiffness nonlinearity [ J ]. Communications in Nonlinear Science and Numerical Simulation, 2008, 13(5): 959 - 978.
  • 7Panagopoulos P, Gendelman O, Vakakis A F. Robustness of nonlinear targeted energy transfer in coupled oscillators to changes of initial conditions [ J]. Nonlinear Dynamics, 2007, 47(4) : 377 -387.
  • 8Gendehnan O. Bifurcations of nonlinear normal modes of linear oscillator with strongly nonlinear damped attachment[J]. Nonlinear Dynamics, 2004, 37(2) : 115 -28.
  • 9Manevitch L, Gourdon E, Lamarque C. Parameters optimization for energy pumping in strongly non-homogeneous 2 DOF system [ J ]. Chaos Solitons Fractals, 2007, 31 (4) : 900 - 911.
  • 10Kerschen G, Kowtko J, McFarland D M, Bergman L, Vakakis A. Theoretical and experimental study ofmuhimodal targeted energy transfer in a system of coupled oscillators[ J]. Nonlinear Dynamics, 2007, 47 ( 1 ) : 285 - 309.

共引文献26

同被引文献107

引证文献22

二级引证文献68

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部