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A non-linear stochastic finite element formulation for the stochastic response analysis of geometrically non-linear, elastic two-dimensional frames with random stiffness properties and random damping subject to stationary random excitations is derived, utilizing deterministic shape functions and random nodal displacements. Hence, a consistent weighted integral method has been applied for the discretization of the random fields of beam elements. The discretized second order non-linear stochastic differential equations with random coefficients are then solved applying the total probability theorem with a mean-centered second order perturbation method in the frequency domain to evaluate the unconditional statistics of the response. Zeroth, first and second order perturbations are computed using a spectral approach in which a system reduction scheme to the modal subspace expanded by the deterministic linear …