摘要
本文研究了两底为半球面腰为圆柱面贮箱中液体的受迫晃动特性 ,用一类特征函数展开的方法求出液体自由晃动频率、速度势 ,推出了贮箱横向振动时液体受迫振动的动力学方程和边界条件 ,利用函数展开法求出液体受迫振动速度势 ,并给出了腔体横向振动时液体对腔壁的反力和反力矩 。
In this paper under the condition of low gravity the characteristic of liquid forced sloshing for a circular cylined with two hemispherical ends were investigated. Firstly, the static shape of the liquid surface was analysed. And then, by using the expansions with characteristic functions, the frequencies and velocity potentials of liquid free vibrations were derived. The governing equations and boundary conditions were established for the forced vibrations of liquid under the transvers vibration of the container, and using the method of function expansions the velocity potential and the tolal force and moment eperted on the lateral wall were found. Finally, numerical results were obtained.
出处
《水动力学研究与进展(A辑)》
CSCD
北大核心
2001年第4期472-480,共9页
Chinese Journal of Hydrodynamics
基金
安徽省高校自然科学基金资助项目 (2 0 0 0 JW15 3)
安徽省重点科研项目 (0 0 0 2 10 90 )