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 引用本文: 余延生 马兴瑞 王本利. 利用多维模态理论分析圆柱贮箱液体非线性晃动[J]. 力学学报, 2008, 40(2): 261-266.
Yansheng Yu, Xingrui Ma, Benli Wang. Analyzing liquid nonlinear sloshing in circular cylindrical tank by multidimensional modal theory[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(2): 261-266.
 Citation: Yansheng Yu, Xingrui Ma, Benli Wang. Analyzing liquid nonlinear sloshing in circular cylindrical tank by multidimensional modal theory[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(2): 261-266.

## Analyzing liquid nonlinear sloshing in circular cylindrical tank by multidimensional modal theory

• 摘要: 将多维模态理论应用到求解作横向运动圆柱贮箱中液体的非线性晃动问题. 首先通过压力积分变分原理推导出描述液体作非线性晃动的一般形式无穷维模态系统，然后根据Narimanov-Moiseev三阶渐近假设关系，通过选取二阶主模态和三阶次模态，将无穷维模态系统降为五维渐近模态系统. 通过对这个模态系统的数值积分可以看出一些典型的非线性特征(如波峰大于波谷、节径移动等).

Abstract: The multidimensional modal theory is applied to solveliquid nonlinear sloshing in right circular cylindrical tank intranslatory motion. The general infinite dimensional modal system describingliquid nonlinear sloshing is derived first by pressure integral variationalprinciple. After selecting two dominating modes and three secondarymodes based on the Narimanov-Moiseev third order asymptotichypothesis, the infinite dimensional modal system is reduced to afive dimensional asymptotic modal system. The numericalintegrations of this modal system reveal some typical nonlinearcharacteristics, such as the amplitude difference between wave peak and wavetrough and the dispersion effect.

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