华南理工大学学报(自然科学版) ›› 2020, Vol. 48 ›› Issue (5): 22-31.doi: 10.12141/j.issn.1000-565X.190547

• 土木建筑工程 • 上一篇    下一篇

基于应变能的网壳结构构件重要性分类方法

栗云松1 聂琪1 罗永峰1† 刘晓2 郭小农1
  

  1. 1. 同济大学 土木工程学院建筑工程系,上海 200092; 2. 上海宝冶工程技术有限公司,上海 200941
  • 收稿日期:2019-08-29 修回日期:2019-11-29 出版日期:2020-05-25 发布日期:2020-05-01
  • 通信作者: 罗永峰(1957-),男,教授,博士生导师,工学博士,主要从事钢结构理论与施工技术研究。 E-mail:yfluo93@tongji.edu.cn
  • 作者简介:栗云松(1995-),男,博士生,主要从事既有网壳结构检测鉴定研究。E-mail:yunsongli@tongji.edu.cn
  • 基金资助:
    国家自然科学基金资助项目 (51678431)

Classification Method of Member Importance Based on Strain Energy Theory for Lattice Shell Structure 

LI Yunsong1 NIE Qi1 LUO Yongfeng1 LIU Xiao2 GUO Xiaonong1   

  1. 1. College of Civil Engineering,Tongji University,Shanghai 200092,China;2. Shanghai Baoye Engineering Technology Co. Ltd. ,Shanghai 200941,China
  • Received:2019-08-29 Revised:2019-11-29 Online:2020-05-25 Published:2020-05-01
  • Contact: 罗永峰(1957-),男,教授,博士生导师,工学博士,主要从事钢结构理论与施工技术研究。 E-mail:yfluo93@tongji.edu.cn
  • About author:栗云松(1995-),男,博士生,主要从事既有网壳结构检测鉴定研究。E-mail:yunsongli@tongji.edu.cn
  • Supported by:
    Supported by the National Natural Science Foundation of China (51678431)

摘要: 传统的构件重要性分类方法通常仅针对线弹性结构,不适用于非线性效应较强的网壳结构,同时其分类依据存在一定局限性。为解决上述问题,文中针对网壳结构提出了一种基于应变能的构件重要性分类方法。基于应变能理论,引入了临界点总应变能的概念; 以临界点总应变能为评价指标分析局部构件损伤对结构整体承载性能的影响,由此确定构件的重要程度。将结构临界点总应变能折减系数作为构件重要性系数,参照现行规范的构件重要性划分原则,根据 K-medoids 分类方法提出了一种变界限的网壳结构构件重要性分类方法。对凯威特型球面网壳算例的分析结果表明,构件重要性分类界限不宜采用单一的固定值; 不同损伤状况下,重要构件的数量及分布位置不同,应根据实际情况计算确定; 文中方法相较于构件设计应力比方法能够提供更多信息,便于准确识别结构系统中的重要构件; 基于拆除构件法的构件重要性判定方法不适用于常规的结构检测鉴定。

关键词: 既有网壳结构, 构件重要性, 应变能, K-medoids 分类方法

Abstract: The traditional classification methods of member importance are often exclusively applied to linear-elas-tic structures,and they are not suitable for latticed structure with strong nonlinear effect. Meanwhile,these classi-fication methods also have limitations. To solve this problem,a classification method of member importance based on strain energy was proposed for latticed structure. Based on strain energy theory,the concept of total strain ener-gy at critical point was introduced. Taking total strain energy at critical point as the evaluation index,the influence of local member's break down on the load-carrying capability of whole structure was analyzed. Thus each member's importance was figured out. Reduction coefficients of total strain energy at critical point were considered as indexes of member importance. According to present principles of member importance classification,and based on K-me-doids classification method,a classification method of member importance with non-fixed boundary was proposed.The analysis results of Kiewitt lattice shells show that the classification boundary of member importance should not be fixed to a certain value. The number and location of important members vary in different failure cases,so they should be determined based on actual information. Method proposed in the paper can provide more information
than the design stress ratio method in detecting important members in structure. Classification method of member importance based on alternative path method should not be used for the normal inspection and appraisal of struc-tures.

Key words: lattice shell structure in service, member importance, strain energy, K-medoids classification method

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