无锚固储液罐提离的流-固多种非线性耦合的三维移动边界问题统一分析格式

本文建立了在地震作用下无锚固储液罐提离的流-固多种非线性耦合的移动边界问题的统一格式的三维分析方法，其中建立了任意四边形标薄板壳拟协调非线性有限元的列式和分析移动边界问题的线性互补方程；提出了在ALE标架下用带压力项的时间分裂步法求解储液罐内含自由液面大幅晃动（移动边界问题）的非定常的三维粘性流体（N－S）问题的方法；其中没有利用轴称性和梁式模态假定等条件及未曾利用势函数理论；该方法适用于一般板壳-流体多种非线性耦合的多种移动边界问题．

Unitive Analysis Schemes Problems of Multiple Moving Boundaries with 3-D Liquid-Solid Multiple Nonlinear Coupling for Uplift of Anchored Liquid Storage Tanks

In the paper, 3-D analysis method with unitive schemes is set up, which isused to resolve the uplift with multiple moving boundaries and multiple nonlinearcoupling for anchored liquid storage tanks. In it, an algorithm of quasi-harmonious finite elements for arbitray quadrilateral of thin plates and shells is builtup to analyze the multiple coupling problems of general thin plates and shellsstructures with three dimensions, the complementary equations for analyzinguplifting moving boundary problems is deduced, The axial symmetry and presumption of beam type mode are not used. In it, an algorithm is put forward foranalyzing the Navier-Stokes problems of unsteady, three-dimensional, and viscousliquid with sloshing of moving boundary surfaces in large amplitude under ALEframe by scheme of time-split-steps to which linear potential theory is not applied. The algorithms can be used to analyze the solid-liquid multiple nonlinearcoupling porblems with 3-D moving boundary frieton in multiple places.