地震作用下贮液结构象足位置样条插值分析方法

Spline interpolation methods to confirm elephant-foot position of maximum deformation of liquid container during earthquake

贮液结构的象足式破坏是一种典型的震害现象,为了有效地减轻或避免象足式震害,文章采用有限元方法(FEM)和数学插值方法对地震中贮液结构产生象足破坏的位置进行了研究。首先将数值计算结果进行指数公式拟合,确定出快速判断象足破坏位置的方法,然后对象足部位进行合理的结构优化设计以提高贮液结构抗震性能。在分析过程中,利用FEM方法对贮液结构地震响应进行数值模拟,考虑了液固耦合效应,同时根据已知结构响应在某一区域收敛于某个极值的条件,采用样条插值方法确定象足产生的位置,提出在有限计算资源情况下,利用样条函数插值分析低精度FEM数值计算结果以获取高精度结构响应的方法,并通过实例验证了该方法的实用性。

Damage of liquid container may be great due to elephant-foot-type buckling during earthquake in general. In this paper, the finite element method（FEM） and spline interpolation method are used to analyze the elephant-foot position of the container structure during earthquake. The numerical calculation results are fitted by exponential formula, and the method for rapidly evaluating the elephant-foot position is obtained. On this basis, the reasonable optimal design of the elephant-foot position is maded to improve the structure＇s seismic behavior. In the whole analysis, the FEM is used to simulate the structure＇s seismic response with consideration of fluid-structure interaction, and based on the finite element analysis result that the structure＇s responses converge to an extreme value within certain region, the elephant-foot position is determined by spline interpolation method. Although the computing resource is limited, high precision structural response can be gotten by the presented method. The practicality of this method is validated by an example.