前言在液体火箭贮箱内液体的晃动对全弹的控制和稳定有着重要的影响。为了在设计中充分考虑这一因素,必须对贮箱中液体的晃动频率、势态等有较准确的了解。过去常用的解析方法只能对一些最简单的贮箱形状如圆筒或其等分等,求出精确解。而对于稍微复杂一些的形状,如椭球,就难以求出精确解,只能采用等效圆筒的办法近似求解,有时会产生相当大的 Introduction Liquid sloshing in a liquid rocket tank has an important impact on the overall control and stability of the bombs. In order to fully consider this factor in the design, we must have a more accurate understanding of the sloshing frequency and the state of the liquid in the tank. The analytical methods used in the past only found the exact solutions for some of the simplest tank shapes, such as cylinders or their aliquots. For slightly more complex shapes, such as ellipsoids, it is difficult to find the exact solution, which can only be approximated by using the equivalent cylinder method, sometimes resulting in considerable