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首先针对俯仰运动贮箱中液体的晃动提出了变分原理和新一类Lagrange函数，以此为基础可以解析方式来研究俯仰运动贮箱中液体有限幅值晃动。以无挡板开口二维、刚性短形贮箱为例，研究了其中液体的有限幅值晃动。单就液体波动幅值而言，在一定激励频率范围内，理论计算值与实验结果具有很好的一致性。
Firstly, the variational principle and a new kind of Lagrange function are proposed for the sloshing of the liquid in the pitching motion tank. Based on this, the finite amplitude sloshing of the liquid in the pitching motion tank can be studied analytically. Taking the two-dimensional, rigid and short tank without baffle openings as an example, the finite amplitude sloshing of liquid was studied. For the amplitude of liquid fluctuation alone, the calculated values agree well with the experimental results within a certain excitation frequency range.