To overcome the excessive computational cost and/or bad accuracy of traditional approaches,the probabilistic density evolution method(PDEM) is introduced.The dynamic reliability of a double-layer cylindrical latticed shell is evaluated by applying PDEM and Monte Carlo Method(MCM) respectively,and four apparent wave velocities(100 m/s,500 m/s,800 m/s and 1 200 m/s) and five thresholds(0.1 m,0.2 m,0.3 m,0.4 m and 0.5 m) are taken into consideration.Only the difference between threshold and maximal deformation is taken as the performance function.The numerical results show that results obtained by PDEM and MCM agree well;the dynamic reliability increases markedly with the increase of displacement threshold;the types of probabilistic density curves of response are different from that of regular distribution;the dynamic reliability will decrease with the decrease of apparent wave velocity,and more members will enter into the plastic state when subjected to multi-support excitations compared with uniform excitation.Thus,it is necessary to take the wave passage effect into consideration in the seismic design of shell structures.
