摘要
应用弹性薄壳的基本理论和流体弹性力学基本方程,结合相容拉格朗日-欧拉法,建立接触面处流体与固体相互作用的运动学方程和动力学方程,深入研究浅拱形薄壳在流体作用下的弯曲变形;给出在倾斜流动和对称流动状态下,法向位移系数的线性方程表达式;结合边界条件求解得到浅拱形壳的变形、压力及应力的算式。并通过具体算例,绘出挠度随壳体材料、壳体厚度、壳体弧长、迎角和流体速度等参数变化的关系曲线,给出发生最大变形、最大应力所在的位置及数值;分析相关参数变化对浅拱形壳体变形和应力状态的影响。其分析结果可供流体作用下浅拱形薄壳的强度与刚度设计参考。
Applied the theory of thin elastic shell and fundamental equation of fluid mechanics,and combined with the kinematic equation and dynamic equation of contact surfaces between fluid and solid which were established by using united Lagrange-Euler method,the bending deformation of a thin vaulted shell in fluid was studied.The linear equations of shell＇s normal displacement coefficients under incline and symmetrical flow were given.Based on the boundary conditions,the expressions of shell＇s deformation,pressure and stress were also derived.By examples,some deformation curves under different materials,thicknesses,arc lengths,angles of attack and fluid velocities ies were derived,the position and size where maximum deformation and maximum stress occurred were discussed,and the influence of different parameters on shell＇s deformation and stress was analyzed.The results provide a reference for the design of thin arched shell＇s strength and stiffness.
出处
《机械强度》
CAS
CSCD
北大核心
2011年第5期690-695,共6页
Journal of Mechanical Strength
基金
国家自然科学基金资助项目(50875230)~~
关键词
流固耦合
浅拱形壳
弯曲变形
应力
相容拉格朗日-欧拉法
Fluid-solid coupling
A thin arched shell
Bending deformation
Stress
United Lagrangian-Eulerian method
