冲击载荷下分段线性刚度能量阱的优化研究

Abstract
Figure/Table
References (15)
Related Citation (15)

Download: PDF (1510 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract Piecewise linear stiffness energy sinks are a kind of nonlinear energy sinks.Being a passive damping device, it can dissipate the vibration energy of the main structure quickly by virtue of the phenomenon of target energy transfer.The energy dissipation efficiency of a segmented linear stiffness energy well under impact load was optimized.The slow-change equation of the two-degree of freedom model of the coupled-segment linear-stiffness energy well under impact load was derived by means of complex-averaging method.The approximate expression of the extreme point of slow invariant manifold was obtained by use of polynomial approximation.On this basis, an optimization model with the goal of energy dissipation efficiency of energy sinks was established.In the end, the validity of the model was verified.It’s shown that the optimization model is reasonable, the experimental results show the effectiveness of the optimization parameters, and the energy well with piecewise linear stiffness effectively improves the energy dissipation rate of the system.

Key words： nonlinear vibration nonlinear energy sinks impact load piecewise linear stiffness

Received: 20 November 2019 Published: 28 May 2021

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	CUI Taiyu1
	2
	ZHANG Lei1
	3
	JIA Xuezhi3
	WEI Lei3

Cite this article:

CUI Taiyu1,2,ZHANG Lei1, et al. Mechanical properties of piecewise linear stiffness energy sinks under impact load and its optimization[J]. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(10): 253-260.

URL:

http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2021/V40/I10/253

［1］VAKAKIS A F.Inducing passive nonlinear energy sinks in vibrating systems ［J］.Journal of Vibration and Acoustics, 2001, 123(3):324-332.
［2］VAKAKIS A F, GENDELMAN O.Energy pumping in nonlinear mechanical oscillators: Part II—resonance capture ［J］.Journal of Applied Mechanics, 2001, 68(1):42-48.
［3］ZHANG Y W, LU Y N, CHEN L Q.Energy harvesting via nonlinear energy sink for whole-spacecraft［J］.Science China Technological Sciences, 2019,62(9):1483-1491.
［4］朱玉龙.基于NES的航天器伸缩结构的振动抑制［D］.沈阳：沈阳航空航天大学,2017.
［5］刘海平, 王耀兵, 孙鹏飞, 等.非线性能量阱对飞轮振动抑制效果的实验研究［J］.宇航学报, 2018, 39(5):96-102.
LIU Haiping, WANG Yaobing, SUN Pengfei,et al.Experimental research on vibration suppression for a flywheel based on nonlinear energy sink［J］.Journal of Astronautics, 2018, 39(5):96-102.
［6］刘海平, 王耀兵, 史文华.非线性能量阱对飞轮扰振特性的抑制［J］.宇航学报,2017,38(5):490-496.
LIU Haiping, WANG Yaobing, SHI Wenhua.Vibration suppression for a flywheel based on nonlinear energy sink ［J］.Journal of Astronautics, 2017,38(5):490-496.

［7］GENDELMAN O, MANEVITHCH L I, VAKAKIS A F, et al.Energy pumping in nonlinear mechanical oscillators: Part I—dynamics of the underlying hamiltonian systems［J］.Journal of Applied Mechanics, 2001, 68(1):34-41.
［8］LEE Y S, 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.
［9］SHIROKY I B, GENDELMAN O V.Essentially nonlinear vibration absorber in a parametrically excited system ［J］.ZAMM-Journal of Applied Mathematics & Mechanics, 2010, 88(7):573-596.
［10］熊怀.非线性能量阱若干力学特性研究［D］.哈尔滨：哈尔滨工业大学, 2013.
［11］熊怀, 孔宪仁, 刘源.阻尼对耦合非线性能量阱系统影响研究［J］.振动与冲击, 2015，34(11):116-121.
XIONG Huai, KONG Xianren, LIU Yuan.Influence of damping on coupled nonlinear energy well system ［J］.Journal of Vibration and Shock , 2015,34(11):116-121.
［12］LAMARQUE C H，GENDELMAN O V.Targeted energy transfer in mechanical systems by means of non-smooth nonlinear energy sink ［J］.Acta Mechanica, 2011,221(1):175-200.
［13］YAO H L,CAO Y B, ZHANG S J, et al.A novel energy sink with piecewise linear stiffness［J］.Nonlinear Dynamics, 2018,94(3):2265-2275.
［14］GENDELMAN O V.Targeted energy transfer in systems with non-polynomial nonlinearity ［J］.Journal of Sound and Vibration, 2008, 315(3):732-745.
［15］刘良坤，谭平，潘兆东，等.非线性能量阱系统受基底简谐激励的参数优化分析［J］.振动与冲击, 2019, 38(22): 36-43.
ZHANG Liangkun, TAN Ping, PAN Zhaodong, et al.Parameter optimization analysis of a nonlinear energy sink system under base harmonic excitation［J］.Journal of Vibration and Shock,2019, 38(22): 36-43.