| STATIC ANALYSIS OF CABLE STRUCTURE |
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| 引用本文： | 黄炎,兰伟仁. STATIC ANALYSIS OF CABLE STRUCTURE[J]. 应用数学和力学(英文版), 2006, 27(10): 1425-1430. DOI: 10.1007/s 10483-006-1015-y |
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| 作者姓名： | 黄炎 兰伟仁 |
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| 作者单位： | [1]College of Aerospace and Material Engineering, National University of Defense Technology, Changsha 410073, P. R. China [2]Head General Staff Hydrometeorological Center, Beijing 100081, P. R. China |
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| 摘 要： | Based on the nonlinear geometric relation between strain and displacement for flexible cable, the equilibrium equation under self-weight and influence of temperature was 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 precision 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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| 关 键 词： | 线缆结构 非线性形变 解析方法 张力 |
| 收稿时间： | 2005-12-16 |
| 修稿时间： | 2006-04-27 |
Static analysis of cable structure |
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| Yan Huang,Wei-ren Lan. Static analysis of cable structure[J]. Applied Mathematics and Mechanics(English Edition), 2006, 27(10): 1425-1430. DOI: 10.1007/s 10483-006-1015-y |
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| Authors: | Yan Huang Wei-ren Lan |
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| Affiliation: | 1. College of Aerospace and Material Engineering,National University of Defense Technology,Changsha 410073,P.R.China
2. Head General Staff Hydrometeorological Center,Beijing 100081,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 was 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 precision 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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