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首次对俯仰运动圆柱贮箱中液体的有限幅值晃动问题进行解析研究．首先建立了描述俯仰和／或偏航运动贮箱中液体晃动的非线性偏微分方程组，而后提出了相应的变分原理，建立了压力体积分形式的 Ｌａｎｇａｎｓｅ函数，通过变分方程，最终得到描述俯仰和／或偏航运动圆柱贮箱中液体晃动的非线性动力学微分方程组，该动力学方程组自然满足液体自由表面的运动学和动力学边界条件，而后运用多尺度法求解了所得的动力学方程组，对非线性液体晃动的动力学特性进行了详细的理论分析．
For the first time, the finite amplitude sloshing problem of liquid in the pitching cylinder was analyzed. Firstly, a nonlinear partial differential equation describing the sloshing of the liquid in the pitching and / or yawing motion tank is established. Then the corresponding variational principle is proposed and the Langanse function of the pressure volume integral form is established. Finally, the variational equation is obtained A nonlinear dynamical differential equation describing the sloshing of liquid in a pitched and / or yawed cylindrical tank, which naturally satisfies the kinematic and kinetic boundary conditions of the free surface of the liquid, is then solved using the multi-scale method The dynamic equations of the nonlinear liquid sloshing are analyzed theoretically in detail.