In order to accurately and quickly analyze the stability bearing capacity of single-layer reticulated shells with initial geometric defects, through analyzing the initial geometric imperfection values of eigenvalue imperfection modal method (EIM) and random imperfection modal method (RIMM), and conducting the linear buckling analysis of K8 Kaiweite single-layer reticulated shell structure with 1/4, 1/5, 1/6, 1/7 rise-span ratio, it was found that the vertical geometry imperfection value of the EIM was smaller than that of the RIMM, and it would be more obvious when the rise-span ratio was relatively large. Furthermore, the reason for the low reliability of the EIM when the rise-span was relatively large was analyzed, and the eigenvalue imperfection modal method for controlling vertical geometric imperfections (EIM-CVGI) was proposed. Using the proposed method and the N-order eigenvalue imperfection modal method, the elastoplastic load-displacement whole process analysis of the above four kinds of rise-span ratio reticulated shell structures was carried out. The results showed that the errors of the calculation results of the EIM-CVGI and the N-order eigenvalue defect modal method were within 5% of the engineering allowable. Compared with EIM, the stability performance of the reticulated shell structure could be evaluated more safely.
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