真实材料参数的薄膜结构找形分析法
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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.
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.
引文
[1]BarnesMR.Formfindingandanalysisoftensionstructures bydynamicrelaxation[J].IntJofSpaceStructure,1999,14(2):29-35.
[2]MeekJohnL.Computershapefindingoftensilestructuresby theupdatedreferencestrategy[J].IntJofSpaceStructure,1999,14(2):13-17.
[3]叶小兵.用曲面膜单元建立膜结构的分析理论[D].天津:天津大学,1999.
[4]胥传喜,钱若军.张力膜结构的非线性有限元分析[A].董石麟.第六届空间结构学术会议论文集[C].北京:地震出版社,1992.580-586.
[5]杨维国.薄膜结构设计中的理论问题及其工程实践[D].北京:北方交通大学,2002.
[6]向 阳,李 君,沈世钊.薄膜结构的初始形态设计分析[J].空间结构,1999,(9):19-27.
[7]王春江.索膜结构找形分析理论综述[A].何广乾.第十届空间结构学术会议论文集[C].北京:中国建材工业出版社,2002.385-391.
[8]刘北辰.工程计算力学[M].北京:机械工业出版社,1994.
[9]郭 璐,蓝 天.膜结构的初始形状判定与静力分析及其模型实验研究[A].蓝 天.第七届空间学术会议论文集[C].北京:地震出版社,1994.384-391.
[10]张 莉.张拉结构形状确定理论研究[D].上海:同济大学,2000.
[2]MeekJohnL.Computershapefindingoftensilestructuresby theupdatedreferencestrategy[J].IntJofSpaceStructure,1999,14(2):13-17.
[3]叶小兵.用曲面膜单元建立膜结构的分析理论[D].天津:天津大学,1999.
[4]胥传喜,钱若军.张力膜结构的非线性有限元分析[A].董石麟.第六届空间结构学术会议论文集[C].北京:地震出版社,1992.580-586.
[5]杨维国.薄膜结构设计中的理论问题及其工程实践[D].北京:北方交通大学,2002.
[6]向 阳,李 君,沈世钊.薄膜结构的初始形态设计分析[J].空间结构,1999,(9):19-27.
[7]王春江.索膜结构找形分析理论综述[A].何广乾.第十届空间结构学术会议论文集[C].北京:中国建材工业出版社,2002.385-391.
[8]刘北辰.工程计算力学[M].北京:机械工业出版社,1994.
[9]郭 璐,蓝 天.膜结构的初始形状判定与静力分析及其模型实验研究[A].蓝 天.第七届空间学术会议论文集[C].北京:地震出版社,1994.384-391.
[10]张 莉.张拉结构形状确定理论研究[D].上海:同济大学,2000.
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