弹性梁式薄板在横向绕流中的大变形  

Large Deformation of Elastic Thin Beam-Plate with One Side Fixed in a Cross-Flow

作　　者：郝亚娟[1] 白象忠[1] 

机构地区：[1]燕山大学,秦皇岛066004

出　　处：《应用力学学报》2009年第2期304-307,共4页Chinese Journal of Applied Mechanics

基　　金：河北省自然科学基金(A2006000190)

摘　　要：采用相容拉格朗日-欧拉(ULE)法,给出了弹性薄板理想流体横向绕流条件下变形与应力的理论算法,其中:对固体采用拉格朗日法;对流体采用欧拉法;对相互接触面采用拉格朗日法和欧拉法。建立了不间断横向绕流条件下弹性梁式薄板的大弯曲变形的非线性微分方程。求解该方程时,将纵向位移分量和曲率的改变量用挠度表示。通过具体算例分析了各参数对悬臂梁式薄板挠度、纵向位移及应力大小的影响。理论解与数值解进行比较,验证了理论解的可靠性。A theoretical algorithm by united Lagrangian-Eulerian(ULE) method for ideal fluid around elastic thin plate problem is presented,where each material is described in the preferred reference frame,e.g.,Lagrangian for solids,Eulerian for fluids,Lagrangian and Eulerian for the interfaces.The nonlinear differential equations for large deformation of the elastic thin plate with one side fixed in a continuous cross-flow of ideal fluid are established.The longitudinal displacement and curvature variation are both described by deflection as solving the equations.And the parameter effect on deflection,longitudinal displacement and stress of cantilever plate are given.The theoretical results are compared with numerical solutions,it is shown that the ULE method performs effectively effective one for the problem of elastic thin beam-plate with one side fixed acted by ideal fluid.

关 键 词：流固耦合 相容拉格朗日-欧拉(ULE)法 梁式板 挠度 纵向位移 应力 

分 类 号：O33[理学—一般力学与力学基础] TB12[理学—力学]