混凝土密肋式锥面网壳的几何非线性分析  

Geometric nonlinear analysis of concrete multi-ribbed conical reticulated shell

作　　者：杨水艳 张华刚[1] YANG Shuiyan;ZHANG Huagang(Space Structures Research Center,Guizhou University,550025 Guiyang,China;Department of Civil Engineering,Guiyang Institute of Information Technology,550025 Guiyang,China)

机构地区：[1]贵州大学空间结构研究中心,贵阳550025 [2]贵阳信息科技学院土木工程系,贵阳550025

出　　处：《应用力学学报》2023年第3期679-689,共11页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金资助项目(No.51568012)。

摘　　要：混凝土密肋式锥面网壳是通过将圆锥面等分成密肋平板后,再由其在谷(脊)线处交汇形成的新型空间结构。为掌握该类结构的稳定性,在弹性稳定分析的基础上,采用弧长法进行几何非线性分析。并讨论矢跨比、边梁刚度、初始几何缺陷等因素对结构承载力的影响。结果表明:结构薄弱部位主要为谷线跨中与密肋平板交汇处;屈曲失稳具有壳体结构的特征,在跳跃失稳后承载力急剧下降;矢跨比的增大会降低结构极限承载力;因边梁作为主要传力构件在增大其刚度时,能有效提高结构整体刚度;脊(谷)线梁刚度和屋面板板厚的变化对提高结构整体稳定贡献较小;增大密肋梁刚度会有效增强结构抵抗失稳能力;初始几何缺陷对结构极限承载力影响较小,将幅值L/300作为结构可接受的最大初始缺陷。对此类结构进行稳定承载力公式的拟合,发现其误差在工程精度可接受的范围之内。The concrete multi-ribbed conical reticulated shell is a new spatial structure formed by dividing the conical surface into multi-ribbed flat plates.The multi-ribbed flat plates meet at the valley(ridge)line.In order to understand the stability of the structure,the arc length method is used for geometric nonlinear analysis on the basis of elastic stability analysis.The effects of rise-span ratio,boundary beam rigidity and initial geometric defects on the structural bearing capacity are discussed.The results show that the weak part of the structure is mainly the intersection between the valley line and the multi-ribbed slab.The buckling instability has the characteristics of a shell structure,and the ultimate bearing capacity drops sharply after jumping instability.The increase of the rise-span ratio will reduce the structural bearing capacity.As the boundary beam is the main force transmission member of,increasing its rigidity can effectively improve the overall rigidity of the structure.Changing the rigidity of the ridge(valley)beam and the thickness of roof plate has little contribution to improving the overall stability of the structure.Increasing the rigidity of the multi-ribbed beam will effectively enhance the structure s ability to resist instability.The initial geometric defects have little effect on the ultimate bearing capacity of the structure.The amplitude L/300 is regarded as the largest initial defect acceptable to the structure.The stability bearing capacity formula is fitted to the structure,and the calculation error is within acceptable engineering accuracy.

关 键 词：混凝土密肋式锥面网壳 几何非线性分析 临界荷载 跳跃失稳 

分 类 号：TU375[建筑科学—结构工程]