张弦梁结构刚度参数分析与优化设计  

Parametric analysis and design optimization on stiffness of beam string structure

作　　者：蒋友宝[1] 黄星星[1] 

机构地区：[1]长沙理工大学土木与建筑学院,湖南长沙410004

出　　处：《广西大学学报（自然科学版）》2015年第4期798-805,共8页Journal of Guangxi University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(11102029)

摘　　要：针对现有关于张弦梁结构基于刚度的参数分析和优化研究较为缺乏的不足,采用有限元方法对此问题进行研究。首先,结合某实际张弦梁结构模型并通过变化其主要参数值(如上弦抗弯刚度与下弦轴向刚度比值、上弦轴向刚度与下弦轴向刚度比值、高跨比和下弦索面积等)建立了多个结构模型,然后进行相应刚度分析,得到了这些主要参数对结构竖向整体刚度的影响规律和刚度优化设计的建议。结果表明:在参数分析范围内,当结构高跨比、上弦轴向刚度与下弦轴向刚度比值和上弦长细比一定时,张弦梁结构刚度近似与下弦索面积成正比;在工程实践中,为了在经济效果较优的情形下获得较大的刚度,建议张弦梁结构选用较大的结构高跨比、索垂跨比和较小的上弦轴向刚度与下弦轴向刚度比值。Stiffness analysis and optimization were performed for beam string structure （ BSS ） with the finite element method since it lacks sufficient discussion on parameter analysis and optimization on stiffness in current studies. Multiple models were built by varying the values of the major parame-ters （ e. g. ratio of the bending stiffness of upper chord to the axial stiffness of lower chord, ratio of the axial stiffness of upper chord to that of lower chord, height-to-span ratio and cable area of lower chord） of a beam string structure. The corresponding analysis was performed, and the effects of the major parameters on the global vertical stiffness and the suggestion on stiffness optimization were ob-tained. The results show that, within the mentioned ranges of the parameters, the stiffness of BSS is nearly proportion to its lower chord area when the height-to-span ratio, ratio of axial stiffness of up-per chord to that of lower chord and slenderness of upper chord are given;that it is recommended to adopt a large height-to-span ratio, a large sag-to-span ratio of cable and a small axial stiffness ratio of upper chord to lower chord for BSS design in order to obtain a large stiffness based on economic optimization.

关 键 词：张弦梁 有限元 整体刚度 参数分析 优化设计 

分 类 号：TU391[建筑科学—结构工程]