LOAD CARRYING CAPACITY OF THREE-WAY SINGLE-LAYER RETICULATED DOME WITH INITIAL MEMBER CROOKEDNESS OF PRESCRIBED PROBABILISTIC AMPLITUDE

摘要

Single-layer reticulated dome is a typical imperfection-sensitive structure. Initial crookedness of member as a typical imperfection innately exists in reticulated dome. The approach to establish reticulated dome with crooked member is firstly presented, followed by the study of its effect on load-carrying capacity of single-layer three-way reticulated dome. The main conclusions are summarized as follows: load-carrying capacity of the reticulated dome is influenced by initial member crookedness. Compared with the perfect dome, mean of limit load reductions of imperfect ones is 9.35%. The limit load reduction of the imperfect dome is closely related to the distributions of crooked member, and some of them can evidently reduce the limit load. Limit load of the dome obeys extreme I type distribution. Instability modes of imperfect domes considered here belong to nodal instability triggered by member buckling, and there is a dimple in each imperfect dome. The position of dimple is not unique, and it appears in different locations depending on the shape of the imperfect dome. Moreover, the member buckling and the overall buckling of imperfect domes happen simultaneously, i.e. the synchronous instability.