单层柱面网壳结构的找形

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。

FORM-FINDING OF SINGLE-LAYER CYLINDRICAL LATTICED SHELLS

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.