Vibration suppression of cantilever thin plates using nonlinear energy sink

被引:0
作者
Liu G. [1 ]
Zhang W. [1 ]
机构
[1] Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing
来源
Zhendong Gongcheng Xuebao/Journal of Vibration Engineering | 2019年 / 32卷 / 05期
关键词
Cantilever thin plate; Nonlinear energy sink; Transient response; Vibration suppression;
D O I
10.16385/j.cnki.issn.1004-4523.2019.05.006
中图分类号
学科分类号
摘要
Cantilever structures are widely used in the field of aerospace engineering. It is very important to restrain the vibration of these structures because of their resonance behavior under external excitation. The Nonlinear Energy Sink (NES), which is characterized by light weight, targeted energy transfer and high damping efficiency, can be used in the design of vibration suppression of aerospace structures. In this paper, the vibration reduction of cantilever rectangular plates using the NES is studied. Considering the classic Kirchhoff plate model, the dynamic equation of the thin plate coupled with the NES is established, and the response of the structure in the first order transverse bending is studied by modal truncation. The damping effect of the NES under different parameters is analyzed. It is found that the NES is sensitive to the response position of the structure and has the maximum effect of vibration reduction at the position with the maximum displacement response, which can provide some theoretical support for the cantilever structure in engineering application. © 2019, Nanjing Univ. of Aeronautics an Astronautics. All right reserved.
引用
收藏
页码:786 / 792
页数:6
相关论文
共 20 条
[1]  
Lu S., Zhang W., Nonlinear analysis of deploying laminated composite cantilever plates, Journal of Dynamics and Control, 13, 4, pp. 288-292, (2015)
[2]  
Yang J., Zhang W., Yao M., Bifurcations of a composite laminated cantilevered plate under voltage excitation, Journal of Dynamics and Control, 15, 6, pp. 489-493, (2017)
[3]  
Wang Y., Hao Y., Free vibration of homogeneous cantilever thin plate with geometric imperfection, Journal of Dynamics and Control, 15, 6, pp. 525-531, (2017)
[4]  
Gendelman O.V., Transition of energy to a nonlinear localized mode in a highly asymmetric system of two oscillators, Nonlinear Dynamics, 25, 1-3, pp. 237-253, (2001)
[5]  
Gendelman O., Manevitch L.I., Vakakis A.F., Et al., Energy pumping in nonlinear mechanical oscillators: Part I-Dynamics of the underlying Hamiltonian systems, Journal of Applied Mechanics, 68, 1, pp. 34-41, (2001)
[6]  
Vakakis A.F., Gendelman O., Energy pumping in nonlinear mechanical oscillators: Part II-Resonance capture, Journal of Applied Mechanics, 68, 1, pp. 42-48, (2001)
[7]  
Vakakis A.F., Inducing passive nonlinear energy sinks in vibrating systems, Journal of Vibration and Acoustics, 123, 3, pp. 324-332, (2001)
[8]  
Gendelman O., Manevitch L.I., Vakakis A.F., Et al., A degenerate bifurcation structure in the dynamics of coupled oscillators with essential stiffness nonlinearities, Nonlinear Dynamics, 33, 1, pp. 1-10, (2003)
[9]  
Vakakis A.F., Rand R.H., Non-linear dynamics of a system of coupled oscillators with essential stiffness non-linearities, International Journal of Non-Linear Mechanics, 7, 39, pp. 1079-1091, (2004)
[10]  
Musienko A.I., Lamarque C.H., Manevitch L.I., Design of mechanical energy pumping devices, Journal of Vibration and Control, 12, 4, pp. 355-371, (2006)