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考虑两种互不混合的理想不可压缩液体部分或全部充满刚体中在惯性力场中转动时的自由震动 ,在系统不受扰动时 ,其运动就象一个刚体 ,将其考虑成部分或完全充盈的刚体在惯性力场中的转动。确定层状液震动频谱就可归结为求解边界的特征值问题 ,这可以用解析的方法或数值的方法来求解。导出了在柱状空腔中快速旋转的两种互不混合的层状液边值问题的解析解。给出的不同半径处分层在不同充盈深度震动频率计算结果表明 :液体质量一定时分层液自震频率高于均质液 ;分层对某一平均半径内表面固有频率有决定性影响 ,其它地方可以忽略不计
Consider two mutually incompatible ideal incompressible liquids partially or fully filled with free vibration when the body rotates in the inertial force field and behave like a rigid body when the system is undisturbed, considering it as partial or complete filling The rigid body in the inertial force field of rotation. Determining the lamellar fluid vibration spectrum can be attributed to solving the eigenvalue problem of the boundary, which can be solved analytically or numerically. The analytic solutions of the boundary layer problems of two kinds of liquids that do not mix in the columnar cavity are derived. The calculation results of the vibration frequency at different filling depths at different filling depths indicate that the self-vibration frequency of the stratified fluid is higher than that of the homogeneous fluid at a constant liquid mass; the stratification has a decisive influence on the natural frequency of an inner surface with an average radius; Place can be ignored