吉林大学学报(工学版) ›› 2025, Vol. 55 ›› Issue (7): 2212-2222.doi: 10.13229/j.cnki.jdxbgxb.20231137

• 材料科学与工程 • 上一篇    

基于锈损单元畸变控制的结构3D荷载路径拓扑搜寻方法

袁平1(),蔡亚夫2,戴理朝2,董必钦1,王磊2()   

  1. 1.深圳大学 土木与交通工程学院，广东 深圳 518060
    2.长沙理工大学 土木工程学院，长沙 410114
  • 收稿日期:2023-10-22 出版日期:2025-07-01 发布日期:2025-09-12
  • 通讯作者: 王磊 E-mail:pingyuancsust@hotmail.com;leiwang@csust.edu.cn
  • 作者简介:袁平（1992-），男，在站博士后.研究方向：混凝土结构耐久性评估与拓扑优化.E-mail： pingyuancsust@hotmail.com
  • 基金资助:
    国家重点研发计划项目(2021YFB2600900);国家自然科学基金项目(52278140);长沙理工大学研究生科研创新项目(CXCLY2022035)

Topology search method for structural 3D load paths based on distortion control of corrosion-damaged elements

Ping YUAN1(),Ya-fu CAI2,Li-zhao DAI2,Bi-qin DONG1,Lei WANG2()   

  1. 1.College of Civil and Transportation Engineering，Shenzhen University，Shenzhen 518060，China
    2.School of Civil Engineering，Changsha University of Science & Technology，Changsha 410114，China
  • Received:2023-10-22 Online:2025-07-01 Published:2025-09-12
  • Contact: Lei WANG E-mail:pingyuancsust@hotmail.com;leiwang@csust.edu.cn

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摘要：

锈蚀损伤易引起局部单元畸变，导致结构非线性拓扑优化数值失稳。针对现有抑制方法主要用于大变形弹性结构，存在效率低、适用性差等问题，难以满足锈损结构3D荷载路径搜寻的不足，提出了基于锈损单元畸变控制的结构3D荷载路径拓扑搜寻方法。首先，该方法采用局部刚度自适应缩放的思想来控制锈损单元畸变，通过定义的锈损单元畸变度对其局部刚度按不同比例进行缩放，同时抑制单元畸变与优化误差。其次，给出了锈损结构荷载路径搜寻的非线性拓扑优化数学表达式，考虑材料劣化和粘结退化的影响，基于伴随法推导了锈损单元灵敏度计算公式。最后，开展数值算例验证，表明了本文方法能合理地生成锈蚀损伤结构3D荷载路径，揭示了锈蚀RC梁荷载路径发展规律。

关键词: 土木工程, 锈损单元畸变控制, 数值失稳, 局部刚度自适应缩放, 荷载路径, 拓扑搜寻

Abstract:

Corrosion-damage can easily cause local elements distortion， leading to numerical instability in the nonlinear topology optimization of structures. Existing suppression methods are mainly applied to elastic structures undergoing large deformation， but these methods suffer from the issues such as low efficiency and limited applicability， making them difficult to meet the requirements of 3D load paths search for corrosion-damaged structures. Therefore， a method for structural 3D load paths topology search based on distortion control of corrosion-damaged elements is proposed in this paper. Firstly， this method employs the concept of adaptive scaling of local stiffness to control the distortion of corrosion-damaged elements. Their local stiffness is scaled at different proportions based on a defined distortion degree of corrosion-damaged elements， while restraining element distortion and optimization errors. Secondly， a mathematical expression of nonlinear topology optimization of load paths search in corrosion-damaged structures is given. By taking into account the effects of material deterioration and bond degradation， a sensitivity calculation formula for corrosion-damaged elements is derived based on the adjoint method. Finally， numerical examples are conducted for verification， demonstrating that the proposed method in this paper can reasonably generate 3D load paths for corrosion-damaged structures， revealing the development law of load paths in corroded RC beams.

Key words: civil engineering, distortion control of corrosion-damaged elements, numerical instability, local stiffness adaptive scaling, load paths, topological search

中图分类号: 

  • TU375.1

图1

局部区域锈损单元畸变示意图"

图2

基于局部区域锈损单元畸变控制方法的RC结构荷载路径拓扑搜寻流程图"

图3

三维RC梁优化模型示意图"

图4

基于BESO方法的RC梁荷载路径"

图5

不同荷载工况下RC梁的拓扑优化"

图6

当F=800 N时，不同锈蚀水平下锈蚀RC梁的荷载路径"

图7

当F=800 N时，不同粘结强度下锈蚀RC梁的荷载路径"

图8

当F=800 N时，不同抗拉强度下锈蚀RC梁的荷载路径"

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