贮液箱中弹性隔层板在流体作用下的变形与应力分析  

ANALYSIS OF DEFORMATION AND STRESS OF ELASTIC PLATE IN A TANK UNDER THE INFLUENCE OF FLUID

作　　者：郝亚娟[1] 杨阳[2] 白象忠[2] 

机构地区：[1]燕山大学理学院,秦皇岛066004 [2]燕山大学建筑工程与力学学院,秦皇岛066004

出　　处：《机械强度》2009年第2期250-255,共6页Journal of Mechanical Strength

基　　金：河北省自然科学基金资助项目(A2006000190)~~

摘　　要：应用单一拉格朗日法,对一水平放置贮液箱中、位于不同密度的理想流体层间的矩形薄板的变形、应力问题进行研究。给出隔层板稳定平衡的条件以及在不同密度流体作用下,变形及应力的计算方法。通过算例,对于不可压缩和可压缩流体间不同边界条件的正方形隔层板、长方形隔层板,给出稳定平衡时板的变形及应力与相关因素之间的关系,并进行数值模拟。理论解与数值解相比较,验证理论解的可靠性。With the single Lagrangian method, deformation and stress of a rectangular thin plate in different density ideal fluids in a tank placed horizontally were studied. Stability equilibrium conditions as well as a calculation method for the deformation and stress of the inner plate under the influence of fluids of different density were given. The relationships of the deformation as well as stress and the related factors are presented by examples when the square plates and rectangular plates with different boundary conditions in incompressible and compressible fluids in the state of stability equilibrium. The deformation and stress of the rectangular plate were numerically simulated. The reliability of the theoretical solutions is verified through comparison with the numerical solutions. The results provide a reference for the dynamics of the inner plate caused by liquid sloshing in a tank.

关 键 词：单一拉格朗日法 贮液箱隔层板 流体密度 变形 应力 

分 类 号：O368[理学—流体力学] O39[理学—力学]