Nonlinear Vibrations of Elastic Structures Carrying Two Rectangular Liquid-Filled Tanks Under Horizontal Excitation
Nonlinear Vibrations of Elastic Structures Carrying Two Rectangular Liquid-Filled Tanks Under Horizontal Excitation
复制标题
水平激励下承载两个矩形液体罐的弹性结构的非线性振动
DOI：
10.1115/detc2005-84476
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
T. Ikeda
中科院分区：
文献类型：
--
作者：
T. Ikeda
研究了在水平谐波激励下承载两个液体填充罐的弹性结构的非线性振动。 When a 1:1:1 ratio of internal resonance is satisfied among the natural frequencies of the structure and sloshing in the two liquid tanks, modal equations are derived by using Galerkin’s method, taking into account the nonlinearity of the hydrodynamic force.然后，利用Andronov和Witt的方法计算频率响应曲线。有时可能会出现特殊振动，称为“多模振动”，具体取决于系统参数的值。它们永远不会出现在仅携带一个液体填充罐的结构中。 In other words, even if the dimensions of the two tanks are identical, the sloshing which occurs in each tank differs depending on the excitation frequency. The multi-mode vibrations include constant amplitude vibrations and amplitude modulated motion as well as chaotic vibrations.Copyright © 2005 by ASME
Nonlinear vibrations of an elastic structure carrying two liquid-filled tanks under horizontal harmonic excitation are investigated. When a 1:1:1 ratio of internal resonance is satisfied among the natural frequencies of the structure and sloshing in the two liquid tanks, modal equations are derived by using Galerkin’s method, taking into account the nonlinearity of the hydrodynamic force. Then, frequency response curves are calculated by using Andronov and Witt’s method. Peculiar vibrations, referred to as ‘multi-mode vibrations’, sometimes may appear depending on the values of the system parameters. They never occur in a structure carrying only one liquid-filled tank. In other words, even if the dimensions of the two tanks are identical, the sloshing which occurs in each tank differs depending on the excitation frequency. The multi-mode vibrations include constant amplitude vibrations and amplitude modulated motion as well as chaotic vibrations.Copyright © 2005 by ASME