华南理工大学学报(自然科学版) ›› 2016, Vol. 44 ›› Issue (10): 43-48,56.doi: 10.3969/j.issn.1000-565X.2016.10.007

• 力学 • 上一篇    下一篇

考虑重力影响的单层网壳冲击相似律及数值验证

姜正荣1,2 钟渝楷1 石开荣1,2† 罗斌3   

  1. 1. 华南理工大学 土木与交通学院,广东 广州 510640; 2. 华南理工大学 亚热带建筑科学国家重点实验室, 广东 广州 510640; 3. 东南大学 土木工程学院,江苏 南京 211189
  • 收稿日期:2015-10-08 修回日期:2016-05-12 出版日期:2016-10-25 发布日期:2016-09-01
  • 通信作者: 石开荣(1978-),男,博士,副教授,主要从事预应力钢结构研究. E-mail:krshi@scut.edu.cn
  • 作者简介:姜正荣(1971-),男,博士,副教授,主要从事大跨度空间结构研究. E-mail:zhrjiang@ scut. edu. cn
  • 基金资助:

    国家“十二五”科技支撑计划项目(2012BAJ03B06);广州市科技计划项目(1563000257)

Gravity-Based Impact Comparability Rule of Single-Layer Reticulated Shells and Its Numerical Verification

JIANG Zheng-rong1,2 ZHONG Yu-kai1 SHI Kai-rong1,2 LUO Bin3   

  1. 1.School of Civil Engineering and Transportation,South China University of Technology,Guangzhou 510640,Guangdong,China; 2.State Key Laboratory of Subtropical Building Science,South China University of Technology,Guangzhou 510640,Guangdong,China; 3.School of Civil Engineering,Southeast University,Nanjing 211189,Jiangsu,China
  • Received:2015-10-08 Revised:2016-05-12 Online:2016-10-25 Published:2016-09-01
  • Contact: 石开荣(1978-),男,博士,副教授,主要从事预应力钢结构研究. E-mail:krshi@scut.edu.cn
  • About author:姜正荣(1971-),男,博士,副教授,主要从事大跨度空间结构研究. E-mail:zhrjiang@ scut. edu. cn
  • Supported by:
    Supported by the National Key Technology Research and Development Program of the Ministry of Science and Technology of China during the“12th Five-Year Plan”(2012BAJ03B06)

摘要: 考虑重力作用和材料的应变率效应,根据量纲分析,推导出单层网壳在顶点受冲击物冲击的相似律表达式,并在此基础上,提出可通过特别制备材料或添加配重的方法来满足相似条件. 采用非线性有限元软件 LS-DYNA 建立与已有文献一致的模型,对比试验结果,验证数值方法的可靠性;建立凯威特 - 联方型单层网壳分析模型,以节点位移为考察量,分别对提出的两种方法进行验证. 结果表明:文中提出的两种方法均能较好地预测原型的位移,相对误差绝对值分别小于 15%和 12%;均能准确预测网壳的倒塌模式,特别是工程关注的整体倒塌;添加配重的方法具有更高的精度和可操作性.

关键词: 相似律, 应变率效应, 重力, 单层网壳

Abstract:

Through the dimensional analysis,a comparability rule expression of single-layer reticulated shells sub- jected to a vertex impact is derived in this paper,which considers the gravity and the strain-rate effect of relevant materials.On this basis,two methods of preparing material specially and adding extra mass are proposed to meet the scaling requirements.Then,a model according well with available literaturesis constructed by using the non- linear finite element software LS-DYNA,and it is proved to be reliable by comparing the experimental results with- the simulation ones.Finally,two analytical models of Kiewitt-Lamella single-layer reticulated shells are respec- tively constructed to verify the proposed two methods by comparing their node displacements.The results show that the proposed two methods can both accurately predict the displacement of the prototype,with the relative error ab- solutes of less than 15% and 12% respectively,and they can both accurately predict the collapse modes of the pro- totype,especially the whole collapse,and that the method of adding extra mass is better in terms of precision and maneuverability.

Key words: comparability rule, strain-rate effect, gravity, single-layer reticulated shell