Abstract

This paper presents a study of a hybrid grid shell, which is made of quadrangular meshes diagonally stiffened by pre-tensioned thin cables. The construction of the hybrid structure by translating a spatial curve against another spatial curve is firstly described. Then the elasto-plastic buckling analyses of the perfect hybrid structure and the corresponding single-layer lattice shell are carried out, and the influence of the asymmetric load on the failure loads is discussed based on a finite element model. Furthermore, the different shapes and sizes of imperfections are considered in this study. Two schemes of imposing imperfections are chosen: the first several eigenvalue buckling modes and the deformed shape of the loaded structure obtained from a geometrical non-linear analysis are chosen as the imperfection shape. Finally, the effects of different structural parameters, such as the rise-to-span ratio, beam section dimension, area and pre-stress of cables and boundary conditions, on the failure loads are investigated.

Highlights

  • As is well known, shells still play an important role in the progress of bearing structures, the singlelayer reticulated shell which carries its loads mainly by compressive forces

  • This paper shows how to perform a geometrical and material non-linear finite element analysis by using ANSYS to investigate the stability of the hybrid grid shell

  • The failure loads corresponding to different scales of the tenth eigenmode are computed

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Summary

Introduction

Shells still play an important role in the progress of bearing structures, the singlelayer reticulated shell which carries its loads mainly by compressive forces. Stability analysis is an intricate and important problem in designing reticulated shells. The single-layer reticulated shells can be regarded as a mixture of slab structure and continuum shell showing the stability failure of both types and even combinatorial modes (Bulenda, Knippers 2001). The elastic stability of the hybrid grid shell has been well studied by Bulenda and Knippers (2001). The elastoplastic stability of the single-layer reticulated shells has attracted more and more attentions of researchers recently (Suzuki et al 1992; Nee, Haldar 1988; Luo 1991; Kato et al 2000; Fan et al 2010a, b)

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