Reference-free mixed FE-MBS approach for beam structures with constraints

Roland Zander, Heinz Ulbrich

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


In this paper, an efficient way to simulate elastic beam structures with large translations and deformations is derived. The formulation is close to classical multi-body system (MBS) formulations and makes use of two coordinate sets: One providing equations of motion in a compact form and one for the coupling of single elements to one finite-element structure. Therefore, a coordinate transformation is needed. Constraints within the structure are considered following the common formulations of MBSs. Both uni- and bilateral constraints can be modelled. The system is extended to impacts on the structure. The model is validated by a comparison to a classical FEM model. A beam under different loads is given as an example especially for the treatment of constraints and impacts.

Original languageEnglish
Pages (from-to)349-361
Number of pages13
JournalNonlinear Dynamics
Issue number4
StatePublished - Dec 2006


  • Elastic multi-body system
  • Finite element
  • Non-smooth dynamics
  • Unilateral and bilateral constraints


Dive into the research topics of 'Reference-free mixed FE-MBS approach for beam structures with constraints'. Together they form a unique fingerprint.

Cite this