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The modal reduction method for multi‐body dynamics with non‐smooth contact
Author(s) -
Lozovskiy Alexander
Publication year - 2014
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4651
Subject(s) - modal , reduction (mathematics) , representation (politics) , finite element method , degrees of freedom (physics and chemistry) , unilateral contact , frame (networking) , modal analysis , dynamics (music) , contact force , constant (computer programming) , mathematics , mathematical analysis , classical mechanics , structural engineering , computer science , physics , geometry , engineering , acoustics , materials science , telecommunications , quantum mechanics , politics , political science , polymer chemistry , law , programming language
SUMMARY The elastic multi‐body system dynamics is studied from the prospect of modal reduction. The bodies are seen as stiff, close to rigid, subjected to non‐smooth contact interactions, such as collisions and dry friction. The finite element degrees of freedom of the bodies are represented either through the method of a floating frame of reference or the classical small deformation method in the global frame. The numerical modal reduction strategy based on Craig–Bampton representation of the current degrees of freedom is suggested. The method is general and may be applied to both quasi‐static and dynamic simulations. The key modeling assumption for the method is that the neglected modes have constant response in time. Numerical experiments, where the method is examined and compared with modally full floating frame approach, show satisfying accuracy while achieving significant computational savings. Copyright © 2014 John Wiley & Sons, Ltd.