柔性索网结构的非线性变形  

Nonlinear deformation analysis of flexible cable net structure

作　　者：杨端生[1] 兰伟仁[2] 黄炎[2] 

机构地区：[1]长沙理工大学,长沙410114 [2]国防科技大学,长沙410073

出　　处：《应用力学学报》2010年第4期787-790,共4页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(10872036);国家高技术研究发展计划(863计划)(2008AA04Z118)

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和温度影响下的平衡方程,采用欧拉描述的坐标系精确地求得了各点的位移和张力的解析解。对柔性索网结构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,给出了平面索网变形分析的数值算例并与相关文献进行了比较。算例结果表明与其它方法相比,本文方法对求解柔索的非线性变形问题求解简单,便于应用。Based on the nonlinear geometric relation between strain and displacement of flexible cable,the equilibrium equation under self-weight and influence of temperature are established and an analytical solution of displacement and tension distribution defined in Eulerian coordinate system is accurately obtained.The nonliner algebraic equations caused by flexible cable net structure are solved directly using the modified Powell hybrid algorithm in DNEQNE program.Numerical result for the deformation analysis of a plane cable net are presented and compared with results in literatures.The examples demonstrate that the presented method is more efficient and convenient than other methods for the nonlinear deformation analysis of flexible cable.

关 键 词：柔索 非线性变形 解析法 网结构 张力 

分 类 号：O343.5[理学—固体力学]