Study on coupled vibration characteristics of a cylindrical container with multiple elastic annular baffles
Study on coupled vibration characteristics of a cylindrical container with multiple elastic annular baffles
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多弹性环形隔板圆筒容器耦合振动特性研究
DOI：
10.1007/s11431-012-5033-0
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发表时间：
2012-10
期刊：
影响因子：
--
通讯作者：
WeiQing Liu
中科院分区：
文献类型：
--
作者：
JiaDong Wang;Ding Zhou;WeiQing Liu
研究了部分液体填充的刚性圆柱容器内多个相同内径弹性环形隔板的耦合振动特性。将液体域划分为多个简单的子域，使每个液体子域内的液体速度势为C1类，边界条件连续。基于叠加原理，通过变量分离的方法得到了各液体子域对应的液体速度势的通解。多个弹性环形挡板的耦合模态用干模态函数表示。自由表面条件、界面条件和耦合振动条件分别用沿液体高度的傅里叶级数和沿径向的贝塞尔级数表示。通过收敛性研究，研究了稳定、快速的数值计算。将所提出的方法获得的结果与有限元软件 ADINA 给出的结果进行比较，取得了很好的一致性。彻底讨论了固有频率和振型与环形挡板的位置、内半径和数量的关系。
The coupled vibration characteristics of multiple elastic annular baffles of the same inner radius in a partially liquid-filled rigid cylindrical container were studied. The liquid domain was divided into several simple sub-domains so that the liquid velocity potential in each liquid sub-domain was of class C1 with continuous boundary conditions. Based on the superposition principle, the general solution of the liquid velocity potential corresponding to each liquid sub-domain was obtained by means of the method of separation of variables. The coupled modes of the multiple elastic annular baffles were expressed in terms of dry-modal functions. The free surface condition, the interface conditions and coupled vibration conditions were expressed in terms of Fourier series along the liquid height and Bessel series in the radial direction, respectively. Stable and fast numerical computations were investigated by the convergence study. Excellent agreements have been achieved in the comparison of results obtained by the proposed approach with those given by the finite element software ADINA. The natural frequencies and mode shapes versus the position, the inner radius and the number of the annular baffles were thoroughly discussed.
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