摘要
采用相容拉格朗日-欧拉法,研究圆柱壳表面不间断振动时黏性流体的速度以及壳体的推进速度。根据黏性流体分子的黏附条件简化接触面条件,变形后的变量通过变形前各量的泰勒级数展开式近似表示。假设雷诺数Re<0.1,纳维-斯托克斯方程采用斯托克斯近似,考虑弹性圆柱壳表面发生横向振动与纵向振动。结果表明,弹性圆柱壳半径增大时,流体的速度趋近于薄板振动时的结果,纯横向振动时壳的位移方向与波的方向相反,纯纵向振动时二者方向相同,两种形式的振动均有,则方向可能相同,也可能相反。
Here,when a cylindrical shell vibrated continuously in viscous fluid,velocity of viscous fluid and the cylindrical shell’s propulsion speed were studied with the united Lagrangian-Eulerian method.The contact surface conditions were simplified according to adhesion conditions of viscous fluid molecules.Variables after deformation were approximately expressed with their Taylor series expansions before deformation.When Reynolds number Re<0.1,Navier-Stokes equations were replaced by Stokes ones to study transverse and longitudinal vibrations of the elastic cylindrical shell.The results showed that fluid velocity distribution approaches a thin plate vibration results with increase in cylindrical shell’s radius;the shell’s displacement direction is opposite to the wave’s one during shell having transverse vibration,but their directions are the same during shell having longitudinal vibration;their directions may be the same or opposite during shell having both transverse and longitudinal vibrations.
作者
郝亚娟
郭茜茜
陈佳慧
HAO Yajuan;GUO Xixi;CHEN Jiahui(School of Science,Yanshan University,Qinhuangdao 066004,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2019年第3期267-270,278,共5页
Journal of Vibration and Shock
基金
河北省自然科学基金(A2016203101)
河北省高等学校科学技术研究青年基金(QN2015233)
关键词
黏性流体
相容拉格朗日-欧拉法
圆柱壳
振动
速度
viscous fluid
united Lagrangian-Eulerian method
cylindrical shell
vibration
velocity
