高压柔性传输线的非线性变形分析  

NONLINEAR DEFORMATION ANALYSIS OF FLEXIBLE TRANSMISSION LINE WITH HIGH VOLTAGE

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,湖南长沙410073 [2]总参气象水文中心,北京100081

出　　处：《工程力学》2007年第6期185-188,164,共5页Engineering 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和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解析解。对高压柔性传输线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。最后,给出了柔性传输线变形分析的数值算例并与相关文献进行了比较,算例的结果表明方法对求解柔索的非线性变形问题比其它方法更方便有效。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 nonlinear algebraic equations caused by flexible transmission lines with high voltage are solved directly using the modified Powell hybrid algorithm in DNEQNE program. Numerical results from the deformation analysis of flexible transmission lines are presented and compared with the results appeared in recent related literature. The examples demonstrate that the proposed method is more efficient and convenient than others for the nonlinear deformation analysis of flexible cables.

关 键 词：柔索 非线性变形 解析解法 传输线 位移 张力 

分 类 号：O343.5[理学—固体力学]