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Study on Vibration Suppression of Elastic Structures by Sloshing in Multiple Liquid-Filled Containers

多个充液容器中弹性结构晃动抑制振动的研究

基本信息

批准号：
18560231
负责人：
IKEDA Takashi
金额：
$ 2.41万
依托单位：
Shimane University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2006
资助国家：
日本
起止时间：
2006 至 2007
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18560231/
关键词：
Vibration Coupled with Liquid Motion Sloshing Liquid container Tuned Liquid Damper Vibration Suppression Nonlinear Vibration Elastic Structure Dynamic Absorber 液体関連振動

项目摘要

Vibrations of elastic structures which are suppressed by multiple liquid-filled containers have been investigated. Their results are summarized in the three categories as follows:(1) Vibration Suppression of Elastic Structures by Using Multiple Liquid Containers1) Vibrations of the elastic structures with a single degree of freedom, which are subjected to vertical sinusoidal excitation, can be suppressed by using two rectangular liquid tanks when the natural frequencies of the structure and sloshing in the two liquid tanks have the ratio of 1:1:1. However, if the tuning condition deviates slightly, then the Hopf bifurcation occurs. As a result, the steady-state solution becomes unstable and amplitude-modulated motion appears. This motion loses the effectiveness of tuned liquid dampers2) In a two-story elastic structure with two degrees of freedom which is subjected to horizontal sinusoidal excitation, the amplitude-modulated motion may appear when rectangular tanks are installed on eac … More h floor of the structure. As the excitation becomes larger or the liquid levels of the tanks increase, amplitude-modulated motion may appear.(2) Nonlinear Vibrations in Elastic Structures Containing a Single Liquid Tank1) When an elastic structure movable in the horizontal plane, containing a cylindrical liquid tank, is subjected to one-directional horizontal excitation, whirling motion may be caused by the swirl motion in the tank.2) In the same case as 1)of(1)mentioned above but with a single cylindrical liquid tank, the values of the system's parameters when bifurcation phenomena including Hopf bifurcation occur are shown.(3) Effectiveness of Multiple Dynamic Absorbers with Nonlinear Spring Characteristics1) It has already been known that using dynamic absorbers make the vibrations of the structure minimal at the tuning frequency but new two peaks appear on both sides of the tuning frequency. For example, if multiple dynamic absorbers with nonlinear softening spring characteristics are used, multiple steady-state solutions appear on the left side of the resonance curve. We call this phenomenon a multi-modal vibration which never appears in using a single nonlinear dynamic absorber. The multi-modal vibration has (2n-1) steady-state solutions for n nonlinear dynamic absorbers.2) The multi-modal vibration appears in the two excitation frequency intervals where it has constant amplitude and modulated amplitude. As the number of the nonlinear dynamic absorbers increases, the excitation frequency range of the multi-modal vibration becomes wider but that of the amplitude-modulated motion becomes narrower. Less

已经研究了由多个充满液体的容器抑制的弹性结构的振动。他们的研究结果概括为以下三类：（1）使用多个液体容器抑制弹性结构的振动1）当结构的固有频率和两个液体容器中晃动的比率为1：1：1时，可以使用两个矩形液体容器来抑制受到垂直正弦激励的单自由度弹性结构的振动。然而，如果调谐条件稍有偏差，就会发生 Hopf 分岔。结果，稳态解变得不稳定并且出现调幅运动。这种运动失去了调谐液体阻尼器的有效性2）在受到水平正弦激励的二自由度二层弹性结构中，当结构的每个楼层安装矩形储罐时，可能会出现调幅运动。随着激励变大或罐内液位升高，可能会出现调幅运动。 (2) 含单个液体罐的弹性结构中的非线性振动 1) 当装有圆柱形液体罐的可在水平面内移动的弹性结构受到单向水平激励时，罐内的涡流运动可能会引起涡旋运动。 2) 与上述(1)中的 1) 相同的情况 (3) 具有非线性弹簧特性的多个动态吸振器的有效性 1) 众所周知，使用动态吸振器可以使结构在调谐频率处的振动最小，但在调谐频率的两侧会出现新的两个峰值。例如，如果使用多个具有非线性软化弹簧特性的动力吸振器，则多个稳态解出现在共振曲线的左侧。我们将这种现象称为多模态振动，这种现象在使用单个非线性动态吸振器时永远不会出现。对于n个非线性动力吸振器，多模态振动有(2n-1)个稳态解。2)多模态振动出现在两个激励频率区间，其具有恒定振幅和调制振幅。随着非线性动力吸振器数量的增加，多模态振动的激励频率范围变宽，但调幅运动的激励频率范围变窄。较少的