基于超单元法的空腹夹层板精细化有限元分析  

Refinement finite element analysis of vierendeel sandwich plates based on superelement method

作　　者：盛夏 肖建春[1,2] 陈顺云 马克俭 SHENG Xia;XIAO Jianchun;CHEN Shunyun;MA Kejian(Research Center of Space Structures,Guizhou University,Guiyang 550025,Guizhou,China;Key Laboratory of Structural Engineering of Guizhou Province,Guizhou University,Guiyang 550025,Guizhou,China)

机构地区：[1]贵州大学空间结构研究中心,贵州贵阳550025 [2]贵州大学贵州省结构工程重点实验室,贵州贵阳550025

出　　处：《建筑科学与工程学报》2024年第6期61-69,共9页Journal of Architecture and Civil Engineering

基　　金：国家自然科学基金项目(50978064/Z091015);贵州省自然科学基金项目(黔科合基础[2017]1036)。

摘　　要：针对空腹夹层板精细化有限元分析存在计算模型总自由度数庞大、运算效率低的问题,根据空腹夹层板的构造特点,将其分成若干相同的基本网格,把任一网格当成子结构并凝聚成超单元,再控制超单元的边界自由度数。以超单元为基础扩展出新计算模型,降低空腹夹层板有限元模型的总自由度数,从而提高计算效率。分别用不同超单元和边长0.1 m的实体单元,建立一块平面尺寸为16 m×16 m的混凝土空腹夹层板精细有限元模型并做静、动力分析。结果表明:超单元法提取空腹夹层板参数受限制小,能较快提取结构参数完成计算;超单元边界节点数越少,运算效率越高,但误差相应增大;当超单元的节点数对比精细有限元缩小约89%并合理放置时,计算最大相对误差不超过6%且计算时间能节省11%~24%,模态和时程分析图像吻合度较好;基于超单元法的空腹夹层板精细化有限元分析适用于空腹夹层板结构线弹性阶段的参数分析计算。Aiming at the problem of large total degree of freedom of the calculation model and low computational efficiency in the refinement finite element analysis of the vierendeel sandwich plate,based on the structural characteristics of vierendeel sandwich plates,it was divided into several identical basic grids.Any grid was treated as a substructure and condensed into a superelement,and then the number of boundary degrees of freedom of the superelement was controlled.Based on the superelement,a new computational model was extended to reduce the total number of degrees of freedom in the finite element model of the vierendeel sandwich plate,thereby improving computational efficiency.A fine finite element model of a concrete vierendeel sandwich plate with a plane size of 16 m×16 m was established with different superelements and 0.1 m solid elements,and the static and dynamic analysis was performed.The results show that the parameters of vierendeel sandwich plates extracted by superelement method are less limited,and the structural parameters can be extracted quickly to complete the calculation.The smaller the number of superlement boundary nodes,the higher the computational efficiency,but the error increases accordingly.When the number of nodes of superelement is reduced by about 89%compared with the fine finite element and placed reasonably,the maximum relative error of calculation does not exceed 6%and the calculation time can be saved by 11%to 24%,and the image consistency of modal and time history analysis is better.The refinement finite element analysis of vierendeel sandwich plates based on superelement method is suitable for the parameter analysis and calculation of the elastic stage of vierendeel sandwich plate structure.

关 键 词：超单元 空腹夹层板 边界自由度 子结构 节点 精细化有限元分析 

分 类 号：TU375.2[建筑科学—结构工程]