中文摘要：

考虑低重环境下由于表面张力的影响使得圆柱贮箱内液体呈现弯曲自由液面的情况，以俯仰激励下液体晃动的占优模态振型函数为晃动速度势的基函数，利用傅里叶-贝塞尔级数对贮箱受俯仰激励时的自由液面处的运动边界条件进行展开，得到能描述晃动系统本质的广义状态方程，并分别给出了固有频率、晃动波高、晃动力和晃动力矩等晃动特征的计算方法．通过具体算例得到了俯仰激励下贮箱内液体晃动特征的动态响应，同时验证了文中方法的收敛性、可行性和正确性．

英文摘要：

The curved free surface of liquid in a cylindrical tank caused by surface tension under low-gravity environment is considered. The dominant modal vibration function of liquid sloshing under pitching excitation.is selected as the basic function of velocity potential. The generalized state equation of liquid sloshing system is introduced by expanding the lateral sloshing boundary condition of the free surface to a Fourier-Bessel series, and the formulas of sloshing characteristics including wave height, sloshing frequencies, sloshing force and sloshing moment are also deduced, respectively. Through numerical calculation, the dynamic responses of sloshing characteristics are studied when the tank under pitching excitation. And the convergence, applicability and correctness of the present algorithm are validated.