Regular ArticleUsing linear model reduction to investigate the dynamics of structures with local non-linearities
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2024, Mechanical Systems and Signal ProcessingNonlinear vibration analysis and stability analysis of rotor systems supported on SFD by combining DQFEM, CMS and IHB methods
2023, Applied Mathematical ModellingAn improved model order reduction method for dynamic analysis of large-scale structures with local nonlinearities
2023, Applied Mathematical ModellingNonlinear Interface Reduction for Time-Domain Analysis of Hurty/Craig-Bampton Superelements with Frictional Contact
2021, Journal of Sound and VibrationCitation Excerpt :Nonlinear interface reduction (NLIR) methods seek to develop deformation shapes that can approximate the essential features of the interface with fewer degrees of freedom than needed with the discretized mesh. Early efforts in NLIR extended straightforward linear model reduction strategies to problems with localized contact nonlinearities [15–17]. Gaul and Becker [3] used SCC modes and a free-interface reduction approach to estimate structural damping in a beam-damper assembly.
An improved nonlinear dynamic reduction method for complex jointed structures with local hysteresis model
2021, Mechanical Systems and Signal ProcessingCitation Excerpt :In the literature, two categories of nonlinear dynamic reduction methods have been widely used to decrease the dimensions of iteration vector and Jacobian matrix: the local nonlinearity transformation reduction and generalized modal superposition reduction. As for the former one, the nonlinear solutions are obtained by performing iteration only related to the DOFs of the nonlinear joints, such as the Guyan method, dynamics reduction, improved dynamics reduction, and equivalent expansion reduction [28–31]. However, these reduction methods require the inversion of dynamic stiffness matrix at each discrete harmonic frequency, which is impractical and very difficult for large-scale engineering structures.