流-固耦合问题边界元-有限元耦合方法分析

Fluid-structure Interaction Analysis by BEM-FEM Coupling Procedure

利用边界元 -有限元耦合方法对流 -固耦合振动问题进行了分析 ,假设流体控制方程为 L aplace方程 ,利用非连续边界元对流体域进行离散 ,从而有效地解决了边界元分析中的“角点效应”问题。固体以平面梁为模型 ,采用有限元进行离散 ,对非连续边界元和有限元的耦合问题进行了分析 ,通过对悬臂梁在一侧受液体作用时的瞬态响应分析的数值解同解析解的比较 ,表明了本文所给方法的有效性 ,同时为利用边界元 -有限元耦合方法对流

In this paper,BEM FEM coupling procedure is developed for fluid structure interaction analysis.The fluid is supposed to be incompressible ideal flow with the governing equation as Laplace equation which is discretized by BEM.For simplicity,a beam as a structure is shown in Fig.1.To circumvent the freedom constraint in FEM BEM coupling procedure,discontinuous boundary elements are employed to discretize boundary integral equation for fluid domain.A problem of a cantilever beam with the fluid on one side is analyzed.It is demonstrated,by comparing with the analytical solution presented in this paper,that the BEM FEM coupling procedure is feasible and efficient.