中支座可滑移连续索的静力分析

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求得各点的位移和张力的一般解.由可滑移连续索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.在算例中对中支座可滑移的两跨连续索当两跨索的自重相同或不同时进行精确计算,特别是当两跨索完全相同时,这些问题均与其他学者用不同方法得到的结果进行对比和分析.

STATIC ANALYSIS OF CONTINUOUS CABLE SLIDING AT THE MIDDLE SUPPORTING

On the basis of nonlinear geometric relation between strain and displacement for flexible cable, the equilibrium equation under self-weight and 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 continuous cable with sliding, the modified Powell hybrid algorithm with high precision routine DNEQNE of Fortran can be used directly. For example, a two-span continuous cable sliding at the middle sipporting has been calculated when the self weight of cable for two span is equal or not, specially when the two spans are perfectly equal. These problems are compared and analyzed with various methods by other scholars.