| 已知索端预张力或预应力求索原长的求解技术 |
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| 引用本文： | 阎巍,黄炎. 已知索端预张力或预应力求索原长的求解技术[J]. 长沙交通学院学报, 2009, 25(3) |
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| 作者姓名： | 阎巍 黄炎 |
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| 作者单位： | 1. 长沙学院,计算机科学与技术系,湖南,长沙,410003
2. 国防科技大学,航天与材料工程学院,湖南,长沙,410073 |
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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,采用欧拉描述的坐标系统,精确地求得了各点的位移和张力的一般解.由柔索的变形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.在算例中,对已知索端预张力或预应力来求索原长进行了计算和分析.用本研究方法对高度相同的柔索问题与其他学者用不同方法得到的结果进行了对比和讨论.
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| 关 键 词： | 柔索 非线性变形 解析解 位移 张力 |
Analysis of the unstressed length of catenary with known stressed length or end tension force |
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| YAN Wei,HUANG Yan. Analysis of the unstressed length of catenary with known stressed length or end tension force[J]. Journal of Changsha Communications University, 2009, 25(3) |
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| Authors: | YAN Wei HUANG Yan |
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| Affiliation: | YAN Wei1,HUANG Yan2(1.The Department of Computer Science , Technology,Changsha University,Changsha 410003,China,2.College of Astronautics , Material Engineering,National University of Defense Technology,Changsha 410073,China) |
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| Abstract: | On the basis of nonlinear geometric relation between strain and displacement for flexible cable,the equilibrium equation under self-weight and the influence of temperature,an analytical solution of displacement and tension for every point defined in Eulerian coordinate system is obtained accurately.To solve the nonlinear algebraic equation caused by deformation problem of flexible cable,the modified Powell hybrid algorithm with high precision routine DNEQNE of Fortran can be used directly.For example,the un... |
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| Keywords: | flexible cable nonlinear deformation analytical method displacement tension |
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