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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

研究了多个充液容器对弹性结构振动的抑制作用。（1）多贮液箱对弹性结构振动的抑制1）当结构的固有频率与贮液箱中的晃动频率之比为1：1：1时，对于单自由度的弹性结构，在竖向正弦激励下，采用两个矩形贮液箱可以抑制其振动。然而，如果调谐条件稍微偏离，则发生Hopf分岔。结果，稳态解变得不稳定，出现调幅运动。2）在水平正弦激励作用下，两层两自由度弹性结构中，当每层结构上设置矩形贮箱时，结构会出现调幅运动，当贮箱的阻尼比大于100时，结构的阻尼比会出现调幅运动，而当贮箱的阻尼比大于100时，结构的阻尼比会出现调幅运动 ...更多信息结构的H层。当激励变大或储罐液位增加时，可能出现调幅运动。(2)包含单个液体容器的弹性结构中的非线性振动1）当包含圆柱形液体容器的在水平面内可移动的弹性结构受到单向水平激励时，容器中的涡旋运动可能引起涡旋运动。2）在与上述（1）的1）相同的情况下，但具有单个圆柱形液体容器，给出了系统发生包括Hopf分岔在内的分岔现象时的参数值。(3)具有非线性弹簧特性的多个动力吸振器的有效性1）已经知道，使用动力吸振器使结构的振动在调谐频率处最小，但是在调谐频率的两侧出现新的两个峰值。例如，如果使用具有非线性软化弹簧特性的多个动力吸振器，则在共振曲线的左侧出现多个稳态解。我们称这种现象为多模态振动，这在使用单个非线性动力吸振器时是不会出现的。对于n个非线性动力学方程，多模态振动存在（2n-1）个稳态解; 2）多模态振动出现在两个激励频率区间内，在这两个频率区间内，多模态振动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。少