粘性流体中弹性板振动的有限元耦合问题

VIBRATION ANALYSIS OF ELASTIC PLATE SUBMERGED IN INCOMPRESSIBLE VISCOUS FLUID BY COUPLING FINITE ELEMENT METHOD

流体结构耦合作用问题是工程中比较常见的问题，具有重要意义，由于流体计算的复杂性，迄今为止，大部分的流体结构耦合分析都是建立在对流体充分简化的基础上，尤其是将流体视为无粘、无旋的理想流体．该文在近年来前人工作的基础上，发展了一种流体弹性结构耦合计算模式．流体视为不可压、有粘的介质，流场没有自由表面．该文采用ＳＵ／ＰＧ方法形成流体的有限元方程，采用ＡＬＥ格式处理流体和结构之间的移动界面．采用预估多次校正方法迭代求解耦合的有限元方程．该文进行了３个算例的计算，结果证明了该文计算格式及程序的有效性．

A computational procedure is proposed to solve the interaction problem of elastic structures within a confined fluid region. The fluid is considered to be incompressible viscous and bounded though without free surface boundary. Streamline Upwind/Petrov Galerkin method is employed to describe the discrete fluid domain. Arbitrary Lagrangian Eulerian formulation is adopted to treat the moving interface between the fluid and the structure. A solution procedure has been developed for the interaction analysis of fluid and flexible structure following some scheme of Nomura and Hughes. Three numerical examples are given. The results show the effectiveness of the procedure.