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利用 AL E( Arbitrary L agrange- Euler)有限元方法 ,以速度和压力为基本变量 ,数值模拟了圆筒形贮腔中不可压粘性三维液体的大幅晃动问题 .为了避免混合插值在求解三维问题中的数值计算麻烦 ,推导了分步插值的有限元计算格式 ,得到了横向强迫晃动下的速度及压力响应 .根据工程需要 ,对带有圆环形肋板的圆筒形贮腔中的非线性晃动进行了数值模拟计算 ,得到了强迫激励下的速度及压力响应 ,并将得出的一些重要结论与有关实验结果进行了对比分析 .
Using AL E (Arbitrary L agrange-Euler) finite element method, the velocity and pressure are taken as the basic variables to numerically simulate the large sloshing problem of incompressible viscous three-dimensional liquids in cylindrical reservoirs. In order to avoid mixed interpolation in solving three-dimensional problems , The velocity and pressure response under transverse forced shaking are derived.According to the engineering requirements, the nonlinearity of cylindrical cavity with circular rib Swaying was carried out by numerical simulation. The velocity and pressure responses under forced excitation were obtained. Some important conclusions obtained were compared with the experimental results.