Abstract:The characteristics of nonlinear dynamics and stabilities of a unilateral plate, which is partially immersed in fluid and moving in axial direction, are investigated in this paper. Nonlinear equation of vibration is obtained with a consideration to geometric nonlinearity, speed and tension of the unilateral plate in axial direction, damping, fluid-structure interaction and nonlinear air-knife force, and Galerkin method is used to disperse the vibration equation. Then by applying numerical and approximate analytical methods, nonlinear modal equations are solved, and reveals the primary resonance of immersed plate.
李红影 李健 张英杰 李东. 轴向移动局部浸液单向板非线性动力学分析[J]. 振动与冲击, 2015, 34(22): 125-128.
LI Hong-ying LI Jian ZHANG Ying-jie LI Dong . Analysis of nonlinear dynamics for unilateral plates partially immersed in fluid and moving in axial direction. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(22): 125-128.
1 Y. Fu, W.G. Price. Interactions between a partially or totally immersed vibrating cantilever plate and the surrounding fluid[J]. Journal of Sound and Vibration, 1987,118:495-513.
2 N.J. Robinson, S.C. Palmer. A modal analysis of a rectangular plate floating on an incompressible liquid[J]. Journal of Sound and Vibration,1990,142:453-460.
3 Kyeong-Hoon Jeong, Gyu-Mahn Lee, Tae-Wan Kim. Free vibration analysis of a circular plate partially in contact with a liquid[J]. Journal of Sound and Vibration,2009,324:
194-208.
4 H.Lamb. On the vibrations of an elastic plate in contact with water. Proceedings of the Royal Society of London[J]. Series A, 1921,98:205-216.
5 B.Uğurlu,A.Kutle, A.Ergin, M.H.Omurtag. Dynamics of a rectangular plate resting on an elastic foundation and partially in contact with a quiescent fluid[J].Journal of Sound and Vibration,2008,317:308-328.
6 Y.Kerboua,A.A.Lakis,M.Thomas,L.Marcouiller. Vibration analysis of rectangular plates coupled with fluid[J]. Applied Mathematical Modelling,2008,32:2570-2586.
7 E.Tubaldi, M. Amabili. Vibrations and stability of a periodically supported rectangular plate immersed in axial flow[J]. Journal of Fluids and Structures,2013,38:391-407.
8 N.Banichuk, J.Jeronen, P.Neittaanmäki,T.Tuovinen. On the instability of an axially moving elastic plate [J]. International Journal of Solids and Structures,2010,47:91-
99.
9 刘金堂,杨晓东,张宇飞. 轴向运动大挠度板的非线性动力学行为[J].工程力学,2011,28(10):58-64.
Liu Jintang,Yang Xiaodong,Zhang Yufei. Nonlinear dynamical behaviors of axially moving large deflection plates[J]. Engineering Mechanics,2011,28(10):58-64 (in Chinese)
10 李红影,郭星辉,王延庆,李健,谢里阳,陈波.轴向移动局部浸液单向板的1:3内共振分析[J].力学学报,2012,44(3):
643-647.
Li Hongying,Guo Xinghui,Wang Yanqing, Li Jian,Xie Liyang,Chen Bo. Analysis of 1:3 internal resonances for unilateral plates partially immersed in fluid and moving in axial direction[J]. Chinese Journal of Theoretical and Applied Mechanics,2012,44(3):643-647 (in Chinese)