储液容器流固耦合动力稳定性研究

The rotationally periodic analytical method of the fluid-structure coupling systems is used in linear static,dynamic and stability analysis of the fluid-filled vessel. The analytical scale is reduced to the scale of only one subsystem. The relevant finite element formulations for the rotationally periodic analysis are used. A transforming matrix including the constant pressure model of fluid equations is construted directly to transform the original fluid-strcture coupling equations, by which the zero frequency component of fluid is detached from the equations. A series of the finite element analysis of 3D fluid with slight surface sloshoshing and 3D luid-structure interaction, and graphical simulation are developed.The behavior of the large-scale liquid-filled tanks under earthquake is studied by FEM as a problem of fluid-structure interaction (FSI). As to tanks with thin wall, the solid-shell element with no locking phenomenon is used to describe its large deformation, elastic-plasticity and contact by the Total Lagrange description, Mid-point method and penalty function method respectively. On the other hand, for.the impressible viscous liquid, the ALE-Fractional equal-order FE method is adopted to solve for the large sloshing induced by free surface. By transferring the information between the tank and the liquid continually and alternately solving the structure equation and the fluid equation, the modeling of the intensive interaction between the structure and fluid could be achievable. Lastly, for the dynamic characteristics problem of a FSI system, the displacement-pressure pattern and the FEM introduce a large-scale unsymmetrical eigenvalue problem, which could be solved efficiently byan Arnoldi method with new iterative pattern.

对储液容器在地震条件下的动力稳定性建立比较接近实际的计算模型，考虑几何、材料、流－固耦合、晃动、提高移动边界等多重非线性影响，研究和应用动力失稳准则，确定动力失稳的临界危险状态。计算方法上研究不同非线性不同迭代格式，实现壳体动力稳定性奇点识别、路径跟踪、自动步长调整。研制相应便于工程应用的智能化计算软件。