Internal Resonance of a Floating Roof Subjected to Nonlinear Sloshing
Internal Resonance of a Floating Roof Subjected to Nonlinear Sloshing
复制标题
承受非线性晃动的浮顶内部共振
DOI：
10.1115/1.3173768
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
M. Hizume
中科院分区：
文献类型：
--
作者：
M. Utsumi;K. Ishida;M. Hizume
研究了圆柱形储油罐中浮顶与非线性晃动耦合振动的内共振问题。当控制方程的非线性项具有接近系统的某个模态频率的主频率时，非线性系统表现出内共振。数值结果表明，当储罐发生内共振时，尽管地震激励持续时间较短，但浮顶的应力响应呈现出大振幅的长持续时间。由于内共振的存在，与线性理论的使用相关联的应力的低估变得更加显著，因此晃动的非线性在应力估计中的重要性被强调。结果表明，应力的大小随着充液量的增加而增加，并且在真实的地震激励下出现了内共振对正弦激励下应力的影响。提出了一种减小应力的方法。
Internal resonance in the vibration of a floating roof coupled with nonlinear sloshing in a circular cylindrical oil storage tank is investigated. The nonlinear system exhibits internal resonance when nonlinear terms of the governing equation have a dominant frequency close to a certain modal frequency of the system. Numerical results show that when internal resonance occurs, the responses of stresses in a floating roof exhibit a long-duration period of large amplitude despite a short duration of the earthquake excitation applied to the tank. Due to the presence of internal resonance, the underestimation of the stresses associated with the use of the linear theory becomes more marked, and thus the importance of nonlinearity of sloshing in the stress estimation is accentuated. It is illustrated that the magnitudes of the stresses increase with the increase in the liquid-filling level, and that the effect of internal resonance on the stresses noted in the case of sinusoidal excitation appears under real earthquake excitation. A method,for reducing the stresses is proposed.