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A: Newmark integration matrices; C: damping matrix; F: force vector; F_x(X): joint cumulative distribution function X; f: generalized force vector; G: residual flexibility matrix; I: identity matrix; K:stiffness matrix; M: mass matrix; M,C, K: Guyan-reduced mass, damping, and stiffness matrix; n: Number of substructure DOFs; P: probability; Q(Ω):generalized coordinates in frequency domain (amplitudes of harmonic response); q : generalized coordinates; q_p : generalized coordinates associated with the fixed-interface normal modes; R : reaction force; S : sample space of events; t : time; u: physical coordinates (DOFs); X : random vector of uncertain model parameters; x: deterministic vector of the same dimension as X; Y : vector of random response quantities of interest; y : deterministic;
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