【摘要】 应用弹性薄板的基本理论和流体力学的基本方程,采用相容拉格朗日-欧拉法,深入研究弹性薄板在理想流体横向绕流时的弯曲变形及应力状态.结合接触面处流体与弹性薄板相互作用的运动学方程和动力学方程,建立不间断横向绕流条件下弹性薄板弯曲变形的微分方程.根据边界条件给出挠度函数,采用泰勒展开的方法得到弹性薄板变形与应力的表达式.通过具体算例分析弹性体参数对变形以及应力大小的影响.其分析结果可为流体作用下弹性薄板的强度与刚度设计提供参考.更多还原

【Abstract】 With the theory of elastic thin plate, fundamental equations of fluid mechanics and united Lagrangian-Eulerian method, deformation and stress of elastic thin plate in a transversal cross-flow were studied. Kinematic equations and dynamic equations of fluid-solid contact surfaces were established using united Lagrangian-Eulerian method. The differential equations for the deformation of the clamped-clamped elastic thin plate in a continuous cross-flow of ideal fluid were presented. The expression of deflection was given based on the boundary conditions. The deformation and stress of the elastic thin plate were given by using the Taylor expansion method. The parameter effect on deformation and stress of the elastic plate was presented. The research results can supply further reference for the strength and stiffness design of elastic plate under the influence of fluid.更多还原