A nonsmooth generalized-alpha scheme for flexible multibody systems with unilateral constraints

Chen, Qiong-zhong; Acary, Vincent; Virlez, Geoffrey; Bruls, Olivier

doi:10.1002/nme.4563

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A nonsmooth generalized-alpha scheme for flexible multibody systems with unilateral constraints

Chen, Qiong-zhong; Acary, Vincent; Virlez, Geoffrey et al.

2013 • In International Journal for Numerical Methods in Engineering, 96 (8), p. 487-511

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https://hdl.handle.net/2268/167832

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10.1002/nme.4563

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Keywords :

nonsmooth dynamics; unilateral constraints; generalized-alpha method; flexible multibody system; time integration scheme; impact

Abstract :

[en] Mechanical systems are usually subjected not only to bilateral constraints but also to unilateral constraints. Inspired by the generalized-alpha time integration method for smooth flexible multibody dynamics, this paper presents a nonsmooth generalized-alpha method, which allows a consistent treatment of the nonsmooth phenomena induced by unilateral constraints and an accurate description of the structural vibrations during free motions. Both the algorithm and the implementation are illustrated in detail. Numerical example tests are given in the scope of both rigid and flexible body models, taking account for both linear and nonlinear systems, and comprising both unilateral and bilateral constraints. The extended nonsmooth generalized-alpha method is verified through comparison to the traditional Moreau-Jean method and the fully implicit Newmark method. Results show that the nonsmooth generalized-alpha method benefits from the accuracy and stability property of the classical generalized-alpha method with controllable numerical damping. In particular, when it comes to the analysis of flexible systems, the nonsmooth generalized-alpha method shows much better accuracy property than the other two methods.

Disciplines :

Mechanical engineering

Author, co-author :

Chen, Qiong-zhong

Acary, Vincent

Virlez, Geoffrey ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres

Bruls, Olivier ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire des Systèmes Multicorps et Mécatroniques

Language :

English

Title :

A nonsmooth generalized-alpha scheme for flexible multibody systems with unilateral constraints

Publication date :

November 2013

Journal title :

International Journal for Numerical Methods in Engineering

ISSN :

0029-5981

eISSN :

1097-0207

Publisher :

Wiley, Chichester, United Kingdom

Volume :

Issue :

Pages :

487-511

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 18 May 2014

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