华南理工大学学报(自然科学版) ›› 2025, Vol. 53 ›› Issue (12): 1-.doi: 10.12141/j.issn.1000-565X.250203

• 结构安全 •    

采用基于Fisher变换的Bayes分类方法考虑多参数影响的RC梁柱中节点破坏形态判别

王素裹1 范存喜1  郑宜2   

  1. 1.福州大学 土木工程学院,福建 福州 350108
    2.
    建同设计有限公司,广东 广州 511466

  • 出版日期:2025-12-25 发布日期:2025-08-15

Research on RC Interior Beam-Column Joints Failure Mode Classification Using Bayes Classification Method Based on Fisher Transform with Multiple Parameters in Consideration

WANG Suguo1  FAN Cunxi1  CHEANG I    

  1. 1.College of Civil Engineering, Fuzhou University, Fuzhou 350108, Fujian, China;
    2. Jian Tong Consulting Group, Guangzhou 511466, Guangdong, China
  • Online:2025-12-25 Published:2025-08-15

摘要:

钢筋混凝土梁柱节点在侧向荷载作用下存在节点核心区剪切破坏、柱端屈服后节点核心区剪切破坏、梁端屈服后节点核心区剪切破坏及梁端破坏四种破坏形态。不同破坏形态下的梁柱节点对结构性能具有不同的影响,因此在基于性能的结构抗震设计中,准确划分构件的破坏形态是确定构件变形性能限值的关键。然而现有研究对梁柱节点不同破坏形态之间尚未明确划分界限,且随单参数的变化规律不明显,故难以通过单一参数区分出不同破坏类型对应的区间。本文基于Fisher变换和Bayes分类原理提出了一种能更准确、更方便应用的考虑多参数影响的梁柱中节点破坏形态判别方法,该法先通过Fisher判别法寻找类与类最大分离的投影空间,将原样本向最大分离空间投影,从而获得更利于分类的新样本,在此基础上,进一步结合Bayes分类原理对新样本进行分类判别。在中节点破坏形态划分研究中,基于此分类方法,在选取轴压比、剪压比、混凝土强度和配箍特征值等4个参数组合的基础上,建立了相应的多参数分类判别方程,达到了较好划分出梁柱中节点破坏形态、明确不同破坏形态对应的区间目的。

关键词:

钢筋混凝土, 梁柱中节点, Fisher变换, Bayes分类, 破坏形态

Abstract:

There are four types of failure modes of reinforced concrete (RC) beam-column joints under lateral load: shear failure in the core zone of the joint, shear failure in the core zone of the joint after the column end yielding, shear failure in the core zone of the joint after the beam end yielding and beam end failure. The beam-column joints with different failure modes have different influences on the structural performance. Therefore, in performance-based seismic design of structures, accurately classifying the failure mode of the component is the key to determine the deformation performance limit of a component. According to recent research, there is no sharp line separating failure mode of beam-column joints from each other, and the variation law with single influence parameter is not obvious, so it is difficult to distinguish the corresponding interval of different failure modes through a single influence parameter. Based on Fisher transform and Bayes classification principle, this paper proposes a more accurate and convenient method to distinguish the failure pattern of beam-column joints considering multiple parameters. The algorithm first uses Fisher discriminance to find the maximum separation projection space between classes, and then projects the original sample to the maximum separation space to obtain new samples. On this basis, the new samples for better classification are deduced according to Bayes classification principle. In the classification of beam-column joints failure mode, a multi-parameter discriminant equation is established based on this classification method considering four parameters, axial compression ratio, shear compression ratio, concrete compressive strength and stirrup characteristic value, which achieves the purpose of dividing the failure modes of beam-column joints and clarifying the corresponding intervals of different failure modes better.

Key words: reinforced concrete, beam-column joints, Fisher transform, Bayes classification, failure mode