田伟, 董石麟, 赵阳. 单层柱面网壳结构的找形[J]. 工程力学, 2012, 29(6): 241-246. DOI: 10.6052/j.issn.1000-4750.2010.08.0581
引用本文: 田伟, 董石麟, 赵阳. 单层柱面网壳结构的找形[J]. 工程力学, 2012, 29(6): 241-246. DOI: 10.6052/j.issn.1000-4750.2010.08.0581
TIAN Wei, DONG Shi-lin, ZHAO Yang. FORM-FINDING OF SINGLE-LAYER CYLINDRICAL LATTICED SHELLS[J]. Engineering Mechanics, 2012, 29(6): 241-246. DOI: 10.6052/j.issn.1000-4750.2010.08.0581
Citation: TIAN Wei, DONG Shi-lin, ZHAO Yang. FORM-FINDING OF SINGLE-LAYER CYLINDRICAL LATTICED SHELLS[J]. Engineering Mechanics, 2012, 29(6): 241-246. DOI: 10.6052/j.issn.1000-4750.2010.08.0581

单层柱面网壳结构的找形

FORM-FINDING OF SINGLE-LAYER CYLINDRICAL LATTICED SHELLS

  • 摘要: 该文研究刚性网壳结构的合理找形问题,将柔性结构中广泛应用的找形概念引入刚性结构,提出基于力密度法的单层柱面网壳结构的找形方法。通过在找形过程中引入自重,解决了高斯曲率为零的柱面网壳的找形问题,且通过合理找形可基本消除自重引起的弯矩和剪力。找形得到的网壳结构与传统柱面网壳在曲面外形上比较相近,但可大幅度提高单层柱面网壳结构的承载能力。该文提出的找形方法效率高、收敛性好,为单层柱面网壳结构的设计开拓了新的方法和思路。

     

    Abstract: By introducing the concept of form-finding widely used in flexible structures into rigid structures, this paper presents a form-finding method for single-layer cylindrical latticed shells based on the force density method,aimed at investigating the rational form-finding problem of latticed gird shell structures. The form-finding of a single-layer cylindrical latticed shell with zero Gaussian curvature is realized by accounting for the self-weight of the structure during the form-finding process, and the bending moments and shear forces caused by the self-weight may be minimized through the process. The geometrical shape of a form-finding latticed shell is similar to that of a traditional cylindrical shell, but leads to a significant enhancement in the stability bearing capacity of the structure. The proposed form-finding method is of high efficiency and good convergence, providing a new approach for the design of single-layer cylindrical latticed shells.

     

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