| 索结构的静力分析 |
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| 引用本文： | 黄炎,兰伟仁.索结构的静力分析[J].应用数学和力学,2006,27(10):1250-1254. |
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| 作者姓名： | 黄炎 兰伟仁 |
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| 作者单位： | 国防科技大学 航天与材料工程学院,长沙 410073;2.总参气象水文中心 总参气象水文中心,北京 100081 |
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| 摘 要： | 根据柔索应变与位移的非线性几何关系以及自重作用与温度影响下的平衡方程，采用Euler描述的坐标系统精确地求得了各点的位移和张力的一般解．由索结构静力问题建立的非线性代数方程组应用改进的Powell混合算法编制的高精度DNEQNF程序直接进行求解A·D2在例题中计算了由3根索被一竖直弹簧支撑在一起的索结构，并与其他学者用不同方法得到的结果进行对比．
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| 关 键 词： | 索结构 非线性变形 解析解 位移 张力 |
| 文章编号： | 1000-0887（2006）10-1250-05 |
| 收稿时间： | 2005-12-16 |
| 修稿时间： | 2006-04-30 |
Static Analysis of Cable Structure |
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| HUANG Yan,LAN Wei-ren.Static Analysis of Cable Structure[J].Applied Mathematics and Mechanics,2006,27(10):1250-1254. |
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| Authors: | HUANG Yan LAN Wei-ren |
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| Institution: | College of Aerospace and Material Engineering, National University of Defense Technology, Changsha 410073, P. R. China; |
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| Abstract: | Based on the nonlinear geometric relation between strain and displacement for flexible cable ,the equilibrium equation under self-weight and influence of temperature were established and an analytical solution of displacement and tension distribution defined in Eulerian coordinate system was accurately obtained. The nonlinear algebraic equations caused by cable structure were solved directly using the modified Powell hybrid algorithm with high preision routine DNEQNE of Fortran. For example, a cable structure consisting of three cables jointly supported by a vertical spring and all the other ends fixed was calculated and compared with various methods by other scholars. |
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| Keywords: | cable structure nonlinear deformation analytical method displacement tension |
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