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柱形容器内液体的强非线性自振
Nonlinear Liquid Oscillation in the Circular Cylindrical Container
【摘要】 本文考虑了柱形容器内轴对称、有表面张力情形下理想、不可压缩液体的强非线性自振.对自由面上的非线性条件不作任何近似,用优化的办法求解此强非线性问题,得到了一些有意义的结果,发现在非线性和表面张力共同作用下,液面运动有“反弹”现象.
【Abstract】 This article contributes to the studying of fully nonlinear liquid oscillation with free susface and in a circular cylinderical container. A special harmonic function space is selected for the approximate calculation. The method was checked all right with the exact solutions of weak osillation. The method was used to compute the strong non-linear oscillation as well and found some interest phenomena such as "rebounce".
【关键词】 液体强非线性自振;
Bessel函数;
“反弹”;
柱形容器;
【Key words】 fully nonlinear liquid oscillation; Bessel funotion; " rebouce"; circular cylindrical container;
【Key words】 fully nonlinear liquid oscillation; Bessel funotion; " rebouce"; circular cylindrical container;
- 【文献出处】 水动力学研究与进展(A辑) ,Journal of Hydrodynamics , 编辑部邮箱 ,1994年04期
- 【分类号】O353.1
- 【下载频次】26