(1 WSP 科进香港有限公司, 香港 999077; 2 拉瓦尔大学, 魁北克市 G1V0A6)

摘要: 介绍了图解静力学和绘制桁架轴力线图的方法,基于面向对象方法编写绘制桁架结构轴力线图的优化程序,为了得到稳定的轴力线图,采用基于杆系有限元方法先计算轴力,再通过拓扑关系绘制轴力线图. 在计算过程中计算并实时显示虚功代表值,有利于工程师通过调整桁架形状实时进行找形优化. 结合算例描述基于图解静力法对桁架进行结构优化的计算过程. 最后通过一个工程算例展示基于图解静力法对桁架结构进行优化的有效性.

关键词: 钢桁架结构; 图解静力法; 结构优化; 优化程序

中图分类号:TU311. 1 文献标志码:A 文章编号:1002⁃848X(2022)16⁃0062⁃05

DOI:10. 19701 / j. jzjg. 20201644

Development and application of a truss structure optimization program based on graphic statics

CHEN Xuewei1, LIN Zhe1, LIN Shengyi1, XIN Zhanwen2

(1 WSP Hong Kong, Ltd. , Hong Kong 999077, China; 2 Universit􀆧 Laval, Quebec City G1V0A6, Canada)

Abstract: Graphic statics and a method of drawing axial force diagram of truss was introduced; the optimization program todraw axial force diagram of truss structure was developed based on an object⁃oriented method. To obtain stable axial forcediagram, axial force was calculated firstly using finite element method based on bar system, and axial force diagram wasdrawn through topological relations. Virtual work representative value was calculated and displayed in real time in programcalculation, which allows engineers to optimize the truss shape in real time. A calculation example was shown todemonstrate the calculation procedure of truss structure optimization based on graphic statics. Finally, an analysis ofengineering example was used to exhibit the effectiveness of truss structure optimization based on graphic statics.

Keywords:steel truss structure; graphic statics; structure optimization; optimization program

第一作者:陈学伟,博士,高级工程师,主要从事复杂建筑结构设计与研究,Email:dinochen1983@ qq. com.

[引用本文] 陈学伟,林哲,林生逸,等. 基于图解静力法的桁架优化程序开发及应用[J]. 建筑结构,2022,52(16):62⁃66. CHEN Xuewei,LIN Zhe,LIN Shengyi,et al. Development and application of a truss structure optimization programbased on graphic statics[J]. Building Structure,2022,52(16):62⁃66.