真实材料参数的薄膜结构找形分析法  

Shape finding analysis of membrane structure based on real material properties

作　　者：杨维国[1] 那向谦[1] 

机构地区：[1]清华大学土木系,北京100084

出　　处：《建筑科学与工程学报》2005年第1期83-86,共4页Journal of Architecture and Civil Engineering

摘　　要：介绍了利用非线性有限元法进行薄膜结构找形分析的相关理论和相应的有限元计算公式。首先从投影面开始提升控制点到指定位置而得到找形曲面,在此过程中为保证收敛的实现采用虚假的弹性模量从而得到一初始曲面,接着输入真实的弹性模量而得到最终的曲面,由此提出了二次找形的概念。指出二次找形后得到的曲面和一次找形后得到的初始曲面十分接近,但只有通过二次找形后得到的曲面才是在工程实践中能够真正实现的形状,并通过理论和工程算例证明了本方法的正确性和有效性。A second shape finding method was developed to improve the non-linear finite element based shape finding method.The curved shape is obtained by raising the control points above the projection plane. The convergence was improved using pseudo material properties to get apreliminary shape,and then the real properties to get the final shape.A large number of examples were analyzed to verify the validity and practicality of this method. The results showed that the finalcurved surface after the second shape finding process was always quite similar to the first one.Moreover the curved surface obtained after the second shape finding process is accurate and will be realized in real.

关 键 词：薄膜结构 材料参数 真实 分析法 非线性有限元法 弹性模量 计算公式 相关理论 找形分析 工程实践 曲面 控制点 投影面 正确性 

分 类 号：TU311[建筑科学—结构工程] O484.1[理学—固体物理]