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将基于Lagrangian描述的结构振动问题与基于Eulerian描述的不可压缩粘性流动问题通过流-固系统的功率耗散平衡在广义变分原理的框架下统一,建立了描述强耦合流激振动的有限元控制方程。采用将Newmark法和Hughes预测多修正法相结合的求解策略,提出了基于稳定有限元法求解小变形弹性结构强耦合流激振动的计算方法,用于计算复杂边界条件下的流激振动问题。以三维混流式水轮机叶道为例的数值算例表明,模拟结果与试验实测结果吻合较好。
The structural vibration problem based on Lagrangian description and the incompressible viscous flow problem based on Eulerian description are unified by the generalized variational principle through the power dissipation balance of the fluid-solid system. The finite element control equation. A new solving method of combining the Newmark method with the Hughes predictive multiple correction method is proposed to solve the problem of the flow stress vibration under complicated boundary conditions by using the finite element method to solve the strong coupled flow induced vibration of the small deformation elastic structure. The numerical example taking the three-dimensional Francis turbine roadway as an example shows that the simulation results are in good agreement with the experimental results.