Deformation mode selection and orthonormalization for an efficient simulation of the rolling contact problem

Research output: Chapter in Book/Report/Conference proceedingsConference contributionpeer-review

1 Citation (Scopus)


The dynamic simulation of contact in rolling processes is very time-consuming. This is mainly based on the fine resolution of the surface domain of each roll, which, however, is essential in order to capture the effect of concentrated contact forces. Existing model order reduction techniques cannot be readily applied due to the nonlinear nature of the contact dynamics. In order to improve the speed of contact analysis, the present paper proposes a sophisticated combination of so-called characteristic static correction modes and vibration normal modes for describing the deformation of each roll. While the characteristic static correction modes are required to capture the concentrated nonlinear contact forces, the vibration normal modes describe the global deformation behavior of the rolls. For the computation of the characteristic static correction modes, first attachment modes are computed for a longitudinal sub-area of each roll. Then an eigenanalysis is performed on the component mode synthesis mass and stiffness matrices that correspond to the attachment modes. The resultant eigenvectors have been truncated and applied to the entire surface domain of the rolls. In order to obtain well-conditioned equations, all modes are finally orthonormalized. An example from the metal forming industry is used to demonstrate the results.

Original languageEnglish
Title of host publicationDynamic Behavior of Materials - Proceedings of the 2013 Annual Conference on Experimental and Applied Mechanics
Number of pages10
ISBN (Print)9783319007700
Publication statusPublished - 2014
Event32nd IMAC Conference and Exposition on Structural Dynamics, 2014 - Orlando, FL, United States
Duration: 3 Feb 20146 Feb 2014

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
ISSN (Print)2191-5644
ISSN (Electronic)2191-5652


Conference32nd IMAC Conference and Exposition on Structural Dynamics, 2014
Country/TerritoryUnited States
CityOrlando, FL


  • Attachment modes
  • Component mode synthesis
  • Craig-Bampton method
  • Interface modes
  • Rolling contact


Dive into the research topics of 'Deformation mode selection and orthonormalization for an efficient simulation of the rolling contact problem'. Together they form a unique fingerprint.

Cite this