Time-dependent non-linear buckling of 3D CFST arch structures with hybrid random interval uncertainties

•Time-dependent nonlinear buckling behaviour of 3D concrete-filled steel tubular (CFST) arch structures considering both random and interval uncertainties were investigated.•Critical nonlinear limit and bifurcation buckling loads were formulated using Chebyshev surrogate model strategy combined with finite element method.•The present method can accurately predict the critical buckling loads and load–displacement paths at any time of the loading age.•The present approach is capable of analysing nonlinear buckling of complex 3D structures with hybrid random interval uncertainties.