东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2016, Vol. 37 ›› Issue (7): 1050-1055.DOI: 10.12068/j.issn.1005-3026.2016.07.029

• 资源与土木工程 • 上一篇    下一篇

抛物线型单层柱面网壳的非线性稳定性

贺拥军， 周元亮   

  1. (湖南大学 土木工程学院， 湖南 长沙410082)
  • 收稿日期:2015-01-15 修回日期:2015-01-15 出版日期:2016-07-15 发布日期:2016-07-13
  • 通讯作者: 贺拥军
  • 作者简介:贺拥军(1970-)，男，湖南宁乡人，湖南大学教授，博士生导师.
  • 基金资助:
    国家自然科学基金资助项目(51178176)； 湖南省高校科技创新团队支持计划项目(湘财教指(2015)229号).

Nonlinear Buckling of Parabolic Single-Layer Cylindrical Reticulated Shells

HE Yong-jun， ZHOU Yuan-liang   

  1. College of Civil Engineering， Hunan University， Changsha 410082，China.
  • Received:2015-01-15 Revised:2015-01-15 Online:2016-07-15 Published:2016-07-13
  • Contact: HE Yong-jun
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摘要： 对抛物线型单层柱面网壳的静力稳定性能进行了研究.比较了抛物线型单层柱面网壳与圆柱面单层柱面网壳和倒悬链线单层柱面网壳的静力稳定性能.对抛物线型单层柱面网壳进行参数分析，并对抛物线型单层柱面网壳进行结构优化.研究表明:与圆柱面网壳相比，抛物线型单层柱面网壳的极限荷载有大幅度增大；长跨比、矢跨比对网壳的极限荷载影响显著；初始几何缺陷对网壳的极限荷载有较大影响；网壳的斜杆相交角在50°左右，网壳的静力稳定性能最好；按等比数列布置拱向网格间距，比值α的取值在0.85到0.95之间时，网壳的静力稳定性能最好.

关键词: 单层柱面网壳, 圆柱面, 抛物线型, 倒悬链线, 极限荷载

Abstract: Aiming at the static stability of the parabolic single-layer cylindrical reticulated shell， the following research is conducted: the static stability of the parabolic single-layer cylindrical reticulated shell is compared with that of the single-layer cylindrical reticulated shell and the inverted catenary single-layer cylindrical reticulated shell. A large scale parameter analysis is carried out on the parabolic cylindrical reticulated shell. An optimized design for the parabolic single-layer cylindrical reticulated shell is conducted. Research shows that compared with the cylindrical reticulated shell， the ultimate load of the parabolic single-layer reticulated cylindrical shell is greatly enhanced. Rise-span ratio and length-span ratio influence the ultimate load of the shell significantly. The shell is proved to be sensitive to initial geometric imperfection. There exists an optimal oblique rod intersection angle of about 50° under which the static stability is the best. When the grid space layout is arranged according to the geometric series and the value of the ratio α is between 0.85 and 0.95， the static stability of the shell is the best.

Key words: single-layer reticulated cylindrical shell, cylindrical, parabolic, inverted catenary, ultimate load

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