On Lagrange multipliers in flexible multibody dynamics

被引：58
|
作者：
Simeon, Bernd [1 ]
机构：
[1] Tech Univ Munich, Zentrum Math, D-85748 Garching, Germany
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2006年 / 195卷 / 50-51期
关键词：
Lagrange multipliers; flexible multibody systems; constraints; differential-algebraic equations (DAEs); saddle point problems; numerical simulation;
D O I：
10.1016/j.cma.2005.04.015
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The Lagrange multiplier technique plays a key role for the treatment of constraints in multibody systems. In contrast to the well-understood rigid body case, the formulation of constraints for elastic bodies requires special care. This paper provides an introduction to the underlying mathematical theory and shows which models are well-defined and which are questionable. Additionally, estimates on the influence of perturbations are given. A simulation example illustrates the results. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：6993 / 7005
页数：13
相关论文
共 50 条
  • [1] DYNAMICS OF FLEXIBLE MULTIBODY SYSTEMS USING BOND GRAPHS AND LAGRANGE MULTIPLIERS
    SAMANTA, B
    [J]. JOURNAL OF MECHANICAL DESIGN, 1990, 112 (01) : 30 - 35
  • [2] Contact dynamics with Lagrange multipliers
    Brunssen, Stephan
    Hueeber, Stefan
    Wohlmuth, Barbara
    [J]. IUTAM SYMPOSIUM ON COMPUTATIONAL METHODS IN CONTACT MECHANICS, 2007, 3 : 17 - +
  • [3] Quantum dynamics of Lagrange multipliers
    Alvarez, Enrique
    Anero, Jesus
    Martin, Carmelo P.
    Velasco-Aja, Eduardo
    [J]. PHYSICAL REVIEW D, 2023, 108 (02)
  • [4] On the Lagrange multipliers of the intrinsic constraint equations of rigid multibody mechanical systems
    Pappalardo, Carmine M.
    Guida, Domenico
    [J]. ARCHIVE OF APPLIED MECHANICS, 2018, 88 (03) : 419 - 451
  • [5] Flexible multibody dynamics
    Bauchau, O.A.
    [J]. Solid Mechanics and its Applications, 2011, 176 : 1 - 748
  • [6] On the Lagrange multipliers of the intrinsic constraint equations of rigid multibody mechanical systems
    Carmine M. Pappalardo
    Domenico Guida
    [J]. Archive of Applied Mechanics, 2018, 88 : 419 - 451
  • [7] Efficient Analysis of Flexible Multibody Dynamics using Recursive Lagrange Multiplier Elimination of Deformation Coordinate Condensation
    Han, Jong-Boo
    Kim, Sung-Soo
    [J]. TRANSACTIONS OF THE KOREAN SOCIETY OF MECHANICAL ENGINEERS A, 2020, 44 (05) : 329 - 335
  • [8] LAGRANGE MULTIPLIERS
    BLANCHET.E
    [J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1971, 273 (20): : 916 - &
  • [9] Flexible Multibody Dynamics-Essential for Accurate Modeling in Multibody System Dynamics
    Sugiyama, Hiroyuki
    Gerstmayr, Johannes
    Mikkola, Aki
    [J]. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2014, 9 (01):
  • [10] A DAE approach to flexible multibody dynamics
    Betsch, P
    Steinmann, P
    [J]. MULTIBODY SYSTEM DYNAMICS, 2002, 8 (03) : 367 - 391
12345