Parametric study on flexible multibody dynamics via model reduction

Abstract eng:
The paper presents an approach of reduced-order model (ROM) for parameterized flexible multibody systems described by the Absolute Nodal Coordinate Formulation (ANCF). The finite elements of ANCF is capable of describing nonlinear dynamics of flexible multibody systems with coupled overall motions and large deformations. In a neighborhood of specified parameters, the sampling ROMS are obtained offline by projecting the system dynamic equations onto the subspace of the reduced-order bases (ROBS) using the Proper Orthogonal Decomposition (POD) and Galerkin methods. Then the remaining ROMS with uncertain sets of parameters in the neighborhood can be computed for online simulation via a manifold interpolation approach so that the dimension of a parametric multibody system is significantly reduced. The accuracy and efficiency of the proposed approach is validated through a case study of a free-falling double-pendulum system composed of two flexible beams with uncertain parameters, such as Young’s modulus, beam length and gravitational acceleration.

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