加肋圆柱壳结构的FE-IE算法网格尺度划分原则

为了研究结构有限元耦合流体无限元算法的网格尺度划分原则,提出有限元-无限元算法中结构湿表面的网格尺度划分原则。数值计算结果表明,对加肋圆柱壳而言,在保证一个肋骨间距至少有2个有限元单元的前提下,将结构主振型弯曲波波长作为有限元-无限元算法中结构湿表面网格尺度划分的参考标准是可行的,即保证一个主振型分量波长内至少有6个有限元单元。提出以结构主振型分量的弯曲波波长(而不是最短的结构波长)作为有限元-无限元算法中网格尺度划分的参考标准,所得结论对于有限元-无限元算法中结构湿表面的网格划分以及控制内域流体有限元数量均具有十分重要的参考意义。

Guidance of the Meshing Scale of Finite Element Coupled Infinite Element Method for a Ring Stiffened Cylindrical Shell

In order to investigate the meshing scale of the Finite Element coupled Infinite Element method (FE-IE method) for a ring stiffened cylindrical shell, the wave number spectrum analyzing method is adopted to extract the main vibration mode, i.e. the one carrying the most energy, of the cylindrical shell of finite length. The guidance is put forward of the structural wetted surface based on the wave number spectrum analyses. Numerical results show that, for ring-stiffened cylindrical shells, with at least two finite elements per distance of stiffeners, it has been testified that the bending wavelength of the main vibration mode can be taken as the reference of meshing scale in FE-IE calculation. And, there must be at least six finite elements per one bending wavelength of the main vibration mode. The bending wavelength of the main vibration mode is used as the reference of meshing scale of FE-IE calculation rather than the shortest wavelength of structural waves The conclusions obtained are significant for the meshing of structural wetted surface and the controlling of the total number of elements in the interior fluid region.