Subsystem Global Modal Parameterization for efficient simulation of flexible multibody systems

• Published in: International journal for numerical methods in engineering Vol. 89; no. 10; pp. 1227 - 1248
• Main Authors: Naets, F., Heirman, G.H.K., Desmet, W.
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 09.03.2012; Wiley
• Subjects: Exact sciences and technology; flexible multibody dynamics; Fundamental areas of phenomenology (including applications); GMP; model reduction; Physics; Solid dynamics (ballistics, collision, multibody system, stabilization...); Solid mechanics; Structural and continuum mechanics; Subsystem GMP; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Invariant; Solid dynamic; Subsystem GMP; model reduction; N body system; GMP; Parameterization; Modeling; Deformable body; Global local method; Relative motion; Reduction method; System reduction; flexible multibody dynamics; Mode component synthesis; Reduced order systems
• ISSN: 0029-5981; 1097-0207
• DOI: 10.1002/nme.3284

SUMMARY This paper presents a new model order reduction strategy for flexible multibody simulation, namely the Subsystem Global Modal Parameterization. The proposed method is based on a system‐level reduction technique, named Global Modal Parameterization, but offers significant improvements for systems with many independent DOFs. The approach splits up the motion of a mechanism or part of a mechanism into a relative motion, in which the members move relatively with respect to each other, and a global motion of the system, in which the relative position of the members does not change. The relative motion is described by a local Global Modal Parameterization model expressed in a mechanism‐attached frame, and the global motion is described by the motion of the mechanism‐attached frame. In order to improve simulation efficiency, mass invariants are used, which are also introduced in this paper. Two numerical examples are presented, which show the good accuracy and the major simulation efficiency improvements this new approach offers. Copyright © 2011 John Wiley & Sons, Ltd.