Inertial force term approximations for the use of Global Modal Parameterization for planar mechanisms
Article first published online: 23 AUG 2010
Copyright © 2010 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Engineering
Volume 85, Issue 4, pages 518–536, 28 January 2011
How to Cite
Naets, F., Heirman, G. H. K., Vandepitte, D. and Desmet, W. (2011), Inertial force term approximations for the use of Global Modal Parameterization for planar mechanisms. Int. J. Numer. Meth. Engng., 85: 518–536. doi: 10.1002/nme.2984
- Issue published online: 28 DEC 2010
- Article first published online: 23 AUG 2010
- Manuscript Revised: 28 MAY 2010
- Manuscript Accepted: 28 MAY 2010
- Manuscript Received: 19 JAN 2010
- multibody dynamics;
- model reduction;
Recently a new model reduction technique for flexible multibody systems has been introduced, namely the Global Modal Parameterization (GMP). This method uses a system-level model reduction, in which the reduction is parameterized by the rigid position of the system and a small flexible deformation superposed on this rigid position. Because of the non-linearity, the projection base for reduction is position dependent. This position dependence leads to strongly non-linear inertial terms, with associated increased storage requirements and computational load. This paper gives a short overview of the GMP-method and focuses predominantly on the derivation of the reduced inertial forces. Three different approximations for the inertial terms are presented and numerically validated. It is shown that a substantial reduction in storage requirements, while maintaining accurate results, is possible through these approximations. Copyright © 2010 John Wiley & Sons, Ltd.