液体一阶晃动模态的试验识别
Experimental Identification of the First Sloshing Mode of Liquid
摘要:
液体的晃动模态(自然频率、振型与阻尼比系数)是贮液结构设计以及振动控制的重要参数,本文采用人工激励的方法可容易激发出容器内液体自由表面的一阶模态运动,撤除激励后液体表面按一阶振型作自由衰减振动,采用多个激光位移器测量液体表面多个点的波高自由衰减曲线,从而可得到液体晃动的一阶自然频率、振型和阻尼比系数,试验测得的晃动频率、振型与理论结果吻合良好,本文的试验模态识别方法适合于任意形状的容器。
Abstract:
The sloshing mode of liquid (natural frequency, mode shape and damping ratio) is the important parameter for the design of liquid-storage structure and the vibration control. In this paper, the artificial excitation is used to stimulate the first mode motion of the liquid free surface in container. The decaying free sloshing in the first mode will occur on the liquid free surface after removing the excitation. The decay curves of free vibration of wave height on the several points of liquid surface can be simultaneously measured by the several laser displacement sensors. Thus, the first natural frequency, mode shape and damping ratio of liquid sloshing can be obtained. The experimental frequencies and mode shapes agree well with theoretical results. The present experimental identification method is applicable to the arbitrary tanks.
参考文献
|
[1]
|
Dodge, F.T. (2000) The New “Dynamic Behavior of Liquids in Moving Containers”. Southwest Research Institute, San Antonio, TX.
|
|
[2]
|
Ibrahim, R.A. (2005) Liquid Sloshing Dynamics: Theory and Applications. Cambridge University Press, Cambridge. [Google Scholar] [CrossRef]
|
|
[3]
|
Faltinsen, O.M. and Timokha, A.N. (2009) Sloshing. Cambridge: Cambridge University Press.
|
|
[4]
|
李遇春. 液体晃动动力学基础[M]. 北京: 科学出版社, 2017.
|
|
[5]
|
夏益霖. 液体晃动等效力学模型的参数识别[J]. 应用力学学报, 1991, 8(4): 27-35.
|
|
[6]
|
丁文镜, 曾庆长. 晃动液体单摆模型动力学参数的频域辨识[J]. 振动工程学报, 1992, 5(3): 211-218.
|
|
[7]
|
Li, Y. and Wang, Z. (2016) Unstable Characteristics of Two-Dimensional Parametric Sloshing in Vari-ous Shape Tanks: Theoretical and Experimental Analyses. Journal of Vibration and Control, 22, 4025-4046. [Google Scholar] [CrossRef]
|
|
[8]
|
王立时, 李遇春, 张皓. 二维晃动自然频率与阻尼比系数的试验识别[J]. 振动与冲击, 2016, 35(8): 173-176.
|
|
[9]
|
Clough, R.W. and Penzien, J. (2003) Dynamics of Structures. 3rd Edition, Computers & Structures, Inc., Berkeley, CA.
|