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