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一种悬索桥静力分析的解析元法
引用本文:檀永刚,石磊,张哲.一种悬索桥静力分析的解析元法[J].武汉理工大学学报(交通科学与工程版),2009,33(5):884-887.
作者姓名:檀永刚  石磊  张哲
作者单位:大连理工大学土木水利学院,大连,116023
基金项目:辽宁省教育厅高等学校科研项目资助(批准号:2006B023)
摘    要:将悬索桥的主缆简化为具有拉伸刚度的质点系,给出了缆索结构2维解析元法的基本方程和求解方法,单元间的作用力与坐标变化的关系可以用解析法得到,对所得到的反映结构特性的质点系方程组进行力的平衡迭代,求解方程组.采用自动的动态可变步长的迭代方法,能够提高计算效率,保证收敛.这种方法既考虑了几何非线性,又适用于材料非线性的计算,比有限元法优越之处还在于,它不用求解线性方程组,所以适用范围广,允许求解多自由度的几何可变体系,而有限元法在求解此类问题时经常不收敛.

关 键 词:解析元法  悬索桥  线形  有限元法  

An Analytical Element Method on the Calculation of Suspension Bridges
Tan Yonggang,Shi Lei,Zhang Zhe.An Analytical Element Method on the Calculation of Suspension Bridges[J].journal of wuhan university of technology(transportation science&engineering),2009,33(5):884-887.
Authors:Tan Yonggang  Shi Lei  Zhang Zhe
Institution:School of Civil & Hydraulic Engineering;Dalian University of Technology;Dalian 116023
Abstract:Provided that the main cables and hangers of suspension bridges were particles system with tension stiffness,primary equilibrium equations of these particles could be established,and these equations could be solved by numerical method. Relationships between the inner forces of elements and the change of their coordinates were obtained by analytical method. Therefore the method is named as analytical element method. Particles system equations,which reflecting the properties of cable structures,were solved by...
Keywords:analytical element method  suspension bridges  configuration  finite element method  
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