双曲抛物面索网结构的近似分析

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曲抛物面索网结构,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。

An Approximate Analysis of Hyperbolic Paraboloid Cable Network Structures

This paper describes a method of approximate nonlinear analysis of hyperbolic paraboloid cable network over an elliptic plan or a rhombus plan under arbitrary vertical loading. In this method, a solution in the form of series is adopted at first, and is substituted into the governing differential equations. Then, least square collocation method is used to establish a nonlinear algebraic matrix equation to determine the unknown coefficients by iterative procedure. A numerical example is given to demonstrate the accuracy of the proposed method.