复杂薄壁建筑物断面特性判定及几何参数的图论处理

针对目前薄壁结构领域存在的断面特性判定及几何参数计算的复杂性,将图论法的理论引入计算程序的前处理部分,可以很方便地对薄壁断面的几何参数进行计算,得到扇性坐标、扭转函数、扇性静矩等,从而为后面的弯曲分析、扭转分析、乃至动力学时程响应计算打下基础。数值算例的检验结果表明,计算机得到的结果与人工计算的相一致,但耗时却大大缩短,这一特点可以应用于结构设计师在结构的初始设计时调整截面的几何参数,从而可以大大提高结构设计的效率。

Characteristics Judgment and Graph Theory Disposal of Geometric Parameters in Complex Thin-walled Structures'''' Section

In order to deal with the complexity of judging section characteristics and calculating geometric parameters in the field of thin-walled structures,this paper introduces graph theory to pre-disposal part of the program.So that geometric parameters such as flabellate coordinate,torsion function,flabellate moment,can be calculated conveniently,which makes it easier for further analysis of bend,torsion,and transient response.The numerical example indicates that the results got by computers are consistent to those got manually,but time-consumption is remarkably shortened,which can be applied to adjust geometric parameters during structure original design,and increase greatly the efficiency of structural design.