基于向量式有限元的T单元及其在张拉索膜结构中的应用  

T-ELEMENT BASED ON VECTOR FORM INTRINSIC FININTE ELEMENT AND ITS APPLICATION TO TENSILE CABLE-MEMBRANE STRUCTURES

作　　者：向新岸[1] 董石麟[2] 冯远[1] 刘宜丰[1] 

机构地区：[1]中国建筑西南设计研究院有限公司,成都610093 [2]浙江大学空间结构研究中心,杭州310058

出　　处：《工程力学》2015年第6期62-68,共7页Engineering Mechanics

基　　金：国家自然科学基金重点项目(50638050);中国建筑股份有限公司重点科研项目(CSCEC-2011-Z-3)

摘　　要：T单元是张拉索膜结构中的特殊单元,可使索和膜独立划分单元,并解决边界锯齿状问题。推导了基于向量式有限元的T单元。基于边界单元侧向刚度无穷大的假设,给出了质点质量分配和中间节点坐标插值的方法,通过虚拟逆向运动求解单元内力,并进行节点力的分配。编制了计算程序,并以一个简单算例验证了所推导的T单元静力计算的准确性。通过上海世博轴张拉索膜结构的断索算例验证了所推导T单元在结构与机构耦合动力计算中的正确性,分析结果表明数值计算结果与实际试验结果相符。T-element is a special element for tensile cable-membrane structures. It is able to mesh the cable and membrane separately and avoid the serrate boundary by using a T-element. The T-element based on an intrinsic finite element of a vector form is proposed. Based on the infinite lateral rigidity hypothesis of a boundary element, the mass distribution and coordinate interpolation of a middle point are presented. The element internal forces are obtained through virtual reverse movements and distributed to nodes. The calculation program is also presented. The proposed T-element is proved to be effective in the static analysis by a simple example. The T-element is also applied to the cable failure analysis example of the tensile cable-membrane structure of Expo Axis in Shanghai. It is proved to be suitable and effective in the dynamic analysis combined with structural and mechanism behavior. The numerical analysis results have a good agreement with the experimental results.

关 键 词：向量式有限元 张拉索膜结构 边界 T单元 分配 插值 世博轴 

分 类 号：TU399[建筑科学—结构工程]