A Generalized Constraint Reduction Method for Reduced Order MBS Models

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11 Citations (Scopus)


In this paper we deal with the problem of ill-conditioned reduced order models in the context of redundant formulated nonlinear multibody system dynamics. Proper Orthogonal Decomposition is applied to reduce the physical coordinates, resulting in an overdetermined system. As the original set of algebraic constraint equations becomes, at least partially, redundant, we propose a generalized constraint reduction method, based on the ideas of Principal Component Analysis, to identify a unique and well-conditioned set of reduced constraint equations. Finally, a combination of reduced physical coordinates and reduced constraint coordinates are applied to one purely rigid and one partly flexible large-scale model, pointing out method strengths but also applicability limitations.
Original languageEnglish
Pages (from-to)259-274
Number of pages16
JournalMultibody System Dynamics
Issue number3
Publication statusPublished - 1 Nov 2017


  • Constraint reduction
  • Galerkin projection
  • Model order reduction
  • Proper Orthogonal Decomposition
  • Redundant coordinates


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