Sensitivity analysis for dynamic mechanical systems with finite rotations

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Reduction Method for Finite Element Nonlinear Dynamic Analysis of Shells (2011, methodology): “The modal derivatives with respect to the parameters are relatively easily calculated, for instance according to the procedure proposed byBruls and Eberhard [9].”
On the Use of Lie Group Time Integrators in Multibody Dynamics (2010, unknown): “This rather broad family includes as special cases the classical generalized-α method for the analysis of dynamic systems on a linear space by Chung and Hulbert [12], the algorithm by Simo and Vu-Quoc [6], as well as the geometric algorithm studied by Br¨uls and Eberhard [19].”
Nonlinear normal modes, Part II: Toward a practical computation using numerical continuation techniques (2009, methodology): “(14) is computed together with the solution of the nonlinear equations of motion in a single simulation [31].”