Discontinuous Galerkin formulation is developed for stability analysis of periodic solutions of flexible multibody dynamics. The proposed approach takes rigid-body motions of each structural nodes as the unknowns. The rigid-body motions are interpolated by using dual spherical linear interpolation (dual-SLERP). The analysis is composed of two steps: (1) the periodic solution is obtained by solving nonlinear equations resulting from Galerkin method; (2) a linearization about the periodic solution leads to a periodic linear system and its stability is assessed by using Floquet’s method.

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