• The proposed isogeometric collocation method with adaptive moment abscissae significantly improves accuracy over classical Greville abscissae in random field discretization.
• The method reduces computational cost by minimizing integral operations compared to the Galerkin method, making it suitable for complex geometries and large-scale engineering problems.
• Intelligent algorithms optimize the moment parameter, enabling adaptive placement of collocation points for enhanced precision.
• Numerical and engineering examples demonstrate superior accuracy and efficiency, validating the method's practical applicability in stochastic structural analysis.