Collocation Methods for the Investigation of Periodic Motions of Constrained Multibody Systems

Cornelia Franke, Claus Führer

Research output: Contribution to journalArticlepeer-review


The investigation of periodic motions of constrained multibody systems requires the numerical solution of differential-algebraic boundary value problems. After briefly surveying the basics of periodic motion analysis the paper presents an extension of projected collocation methods [6] to a special class of boundary Value problems for multibody system equations with position and velocity constraints. These methods can be applied for computing stable as well as unstable periodic motions. Furthermore they provide stability information, which can be used to detect bifurcations on periodic branches. The special class of equations stemming from contact problems like in railroad systems [22] can be handled as well. Numerical experiments with a wheelset model demonstrate the performance of the algorithms
Original languageEnglish
Pages (from-to)133-158
JournalMultibody System Dynamics
Issue number2
Publication statusPublished - 2001

Bibliographical note

The information about affiliations in this record was updated in December 2015.
The record was previously connected to the following departments: Numerical Analysis (011015004)

Subject classification (UKÄ)

  • Mathematics


  • constrained multibody systems
  • Floquet multipliers
  • differential-algebraic equations
  • periodic motions
  • collocation
  • stability analysis


Dive into the research topics of 'Collocation Methods for the Investigation of Periodic Motions of Constrained Multibody Systems'. Together they form a unique fingerprint.

Cite this