Dynamic Stability and Failure Probability Analysis of Dome Structures Under Stochastic Seismic Excitation

Abstract

The intrinsic relationship between deterministic system and stochastic system is profoundly revealed by the probability density evolution method (PDEM) with introduction of physical law into the stochastic system. On this basis, stochastic dynamic stability analysis of single-layer dome structures under stochastic seismic excitation is firstly studied via incorporating an energetic physical criterion for identification of dynamic instability of dome structures into PDEM, which yields to sample stability (stable reliability). However, dynamic instability is not identical to structural failure definitely, where strength failure can be experienced not only in the stable structure but also when the structure is out of dynamic stability. It is practically feasible to decouple the stochastic dynamic response of dome structures to be a stable one and an unstable one according to the generalized density evolution equation (GDEE). Consequently, the global failure probability can be investigated separately based on the corresponding independent stochastic response. For unstable failure probability assessment, the failure probability is the unstable probability if the dome's failure is attributed to instability, whereas inverse absorbing is firstly implemented to get rid of the stochastic response before instability and a complementary process is filled in the safe domain immediately to finally assess the probability of strength failure after dynamic instability.

Numerical Analysis of Steel Geodesic Dome under Seismic Excitations

“…In addition, papers by Kato and Nakazawa [ 47 ], Li et al [ 48 ], and Qin et al [ 49 ] focused on the assessment of lightweight structure responses exposed to earthquakes. In addition, the dynamic stability and failure probability analysis of dome structures under stochastic seismic excitation was presented by Li and Xu [ 50 ].…”

Towards mass customisation: automatic processing of orders for residential ship’s containers - A case study example

“…Attention is generally paid to their topology and geometry [6][7][8][9], to their structural optimization [10][11][12][13] or to their structural behavior [14]. The response to the seismic excitation was studied in [15,16].…”

Influence of the mesh structure of geodesic domes on their seismic response in applied directions

“…In fact, one may doubt this claim. Especially when these objects are located in seismic areas [16][17][18][19][20][21][22]. The seismic forcing aspect has also been investigated in other studies.…”