已知索端预张力或预应力求索原长的求解技术  

Analysis of the unstressed length of catenary with known stressed length or end tension force

作　　者：阎巍[1] 黄炎[2] 

机构地区：[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

出　　处：《交通科学与工程》2009年第3期66-69,共4页Journal of Transport Science and Engineering

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.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 unstressed length of catenary with known stressed length or end tension force has been calculated and analyzed. By this method for the problem of cableway with same altitude, the result has compared and discussed with various methods by other scholars.

关 键 词：柔索 非线性变形 解析解 位移 张力 

分 类 号：O343.5[理学—固体力学]