双曲抛物面索网结构的近似分析

AN APPROXIMATE ANALYSIS OF HYPERBOLIC PARABOLOID CABLE NETWORKS STRUCTURES

本文提出的索网结构近似解法,可用来分析任意荷载作用下的椭圆底平面和菱形底平面双拋物面索网结构,该法先用级数将索网结构基本方程展开,然后采用最小二乘配点法求解,并通过迭代过程考虑非线性项的影响。算例表明,该近似解法的计算机程序能满足精度要求。

This paper describes a method of approximate nonlinear analysisof hyperbolic paraboloid cable networks over an elliptic plan or adiamond-shaped plan under arbitrary vertical loading.In thismethod,at first,a solution in the form of series is adopted andsubstituted into the governing differential eguations.Then,the leastsquare collocation method is used to establish a nonlinear algebraicmatrix equation to determine the unknown coefficients by aniterative procedure.A numerical example is given to demonstratethe accuracy of the proposed method.