索网结构的计算初态与计算量

CALCULATI N F ORIGINAL STATE AND ITERATION TIMES OF NET STRUCTURE

本文在大量的对索网结构有限元法计算结果的基础上,通过理论上的探讨论证了初态与迭代次数之间的关系,并提出了由原始数据(初张力、初形状和荷载)所定义的迭代指数ξ的计算公式.理论分析指出,ξ表征了索网结构的计算工作量(迭代次数).ξ的公式指出,迭代次数只与初形状,初张力和荷载有关,与索的弹性模量和设置密度无直接关系. 根据本文提出的ξ计算公式,可以通过原始数据来预测计算工作量.更有意义的是,为如何恰当选取计算的初态以减少计算量、节省计算费用提供了可靠指导.

The paper presents a formula by which the iteration times, can be calculated from the original quantities. The formula indicates that the iteration times only depend upon the tension, shapeof the original state and the load of the loading state. By using the suggested formula we can predict the iteration times and, what is more, it can provide an useful guide for the proper selection of the original state.