索结构的静力分析  

Static Analysis of Cable Structure

作　　者：黄炎[1] 兰伟仁[2] 

机构地区：[1]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,北京100081

出　　处：《应用数学和力学》2006年第10期1250-1254,共5页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(19872076)

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Eu-ler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.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.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.

关 键 词：索结构 非线性变形 解析解 位移 张力 

分 类 号：O343.5[理学—固体力学]