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中南大学学报(自然科学版)

Journal of Central South University

第45卷    第10期    总第242期    2014年10月

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文章编号:1672-7207(2014)10-3629-08
基于体系可靠度的钢桁梁结构优化设计
刘扬1, 2,鲁乃唯1, 2,殷新锋1, 2

(1. 长沙理工大学 土木与建筑学院,湖南 长沙,410114;
2. 长沙理工大学 桥梁工程湖南省高校重点试验室,湖南 长沙,410114
)

摘 要: 建立钢桁梁结构体系可靠性优化的数学模型,在常规优化模型的基础上,以纵梁和横梁的弯曲失效、腹杆拉应力和屈曲失效为主要失效模式,采用β约界法构建出相关性较低的构件并组建成失效树。提出适用于钢桁梁结构的体系可靠性优化方法,该方法采用神经网络方法求解具有隐式功能函数复杂结构的体系可靠度,然后将体系可靠度通过罚函数的方式引入到个体适应度计算中,通过遗传算法实现体系可靠性优化。采用2种优化方案对某悬索桥钢桁梁结构进行体系可靠性优化分析。研究结果表明:该结构最初失效状态主要表现为腹杆的压应力屈曲失效,最终失效状态表现为纵梁和横梁跨中弯曲失效;2种方案的优化结果都表现为纵、横梁截面面积的减小和腹杆截面面积的增加,这表明该结构的纵梁和横梁的抗弯刚度较大,而腹杆屈曲强度储备稍不足。

 

关键词: 钢桁梁;优化设计;体系可靠度;遗传算法;失效树

Structural optimization design of steel truss beam based on system reliability
LIU Yang1, 2, LU Naiwei1, 2, YIN Xinfeng1, 2

1. College of Civil Engineering and Architecture, Changsha University of Science and Technology,
Changsha 410114, China;
2. Hunan Province University Key Laboratory of Bridge Engineering, Changsha University of Science and Technology,
Changsha 410114, China

Abstract:The system reliability models of steel truss beam structure were established. Bending failure modes of beam and carling were selected to be the main failure mode. The β unzipping method was used to establish the failure tree composed by components with lower correlation based on the convention optimization model. The structural optimization design method was presented based on system reliability. Neural network was used to analyze the system reliability with implicit function, and then system reliability was introduced into the genetic algorithm in the form of penalty function. Two optimization analysis schemes were put forward to analyze the system reliability optimal results of a steel truss beam structure. The results show that the initial structural failure mode is bucking failure of web member and the final structural failure mode is bending failure mode of beam and carling; the results of the two schemes are the decrease of the beam cross section area and the increase of the area of the web member, the beam flexural rigidity of the beam is enough, but the bucking strength is insufficient.

 

Key words: steel truss beam; optimization design; system reliability; genetic algorithm; failure tree

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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