A 'nodeless' dual superelement formulation for structural and multibody dynamics application to reduction of contact problems

被引:21
|
作者
Geradin, Michel [1 ,2 ]
Rixen, Daniel J. [2 ]
机构
[1] Univ Liege, Liege, Belgium
[2] TUM, Inst Appl Mech, Munich, Germany
关键词
modal reduction; superelement; structural dynamics; multibody dynamics; unilateral contact; COMPONENT MODES; SYSTEMS;
D O I
10.1002/nme.5136
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A 'nodeless' superelement formulation based on dual-component mode synthesis is proposed, in which the superelement dynamic behavior is described in terms of modal intensities playing the role of intrinsic variables. A computational scheme is proposed to build an orthogonal set of static modes so that the system matrices can have a diagonal or nearly diagonal form, providing thus high computational efficiency for application in the context of structural dynamics as well as flexible multibody dynamics. Connection to adjacent components is expressed through kinematic relationships between intrinsic variables and local dis-placements. The efficiency of the method is demonstrated on a simple example involving multiple unilateral contact. Copyright (C) 2015 John Wiley & Sons, Ltd.
引用
收藏
页码:773 / 798
页数:26
相关论文
共 50 条
  • [1] A relative contact formulation for multibody system dynamics
    Byungok Roh
    Hosung Aum
    Daesung Bae
    Heuije Cho
    Hakyung Sung
    [J]. KSME International Journal, 2000, 14 : 1328 - 1336
  • [2] A relative contact formulation for multibody system dynamics
    Roh, B
    Aum, H
    Bae, D
    Cho, H
    Sung, H
    [J]. KSME INTERNATIONAL JOURNAL, 2000, 14 (12): : 1328 - 1336
  • [3] A nonsmooth frictional contact formulation for multibody system dynamics
    Galvez, Javier
    Cavalieri, Federico J.
    Cosimo, Alejandro
    Bruls, Olivier
    Cardona, Alberto
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2020, 121 (16) : 3584 - 3609
  • [4] MULTIBODY DYNAMICS - A FORMULATION USING KANE METHOD AND DUAL VECTORS
    AGRAWAL, SK
    [J]. JOURNAL OF MECHANICAL DESIGN, 1993, 115 (04) : 833 - 838
  • [5] Model reduction for convective problems: formulation and application
    Reiss, Julius
    [J]. IFAC PAPERSONLINE, 2018, 51 (02): : 186 - 189
  • [6] Application of the two-loop procedure in multibody dynamics with contact and constraint
    Guo, Xian
    Zhang, Ding-Guo
    Li, Liang
    Zhang, Le
    [J]. JOURNAL OF SOUND AND VIBRATION, 2018, 427 : 15 - 27
  • [7] REDUCTION SCHEME FOR PROBLEMS OF STRUCTURAL DYNAMICS
    HUGHES, TJR
    HILBER, HM
    TAYLOR, RL
    [J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1976, 12 (11) : 749 - 767
  • [8] Application of the absolute nodal co-ordinate formulation to multibody system dynamics
    Escalona, JL
    Hussien, HA
    Shabana, AA
    [J]. JOURNAL OF SOUND AND VIBRATION, 1998, 214 (05) : 833 - 851
  • [9] Continuum mechanics modelling and augmented Lagrangian formulation of multibody, large deformation frictional contact problems
    Pietrzak, G
    Curnier, A
    [J]. COMPUTATIONAL PLASTICITY: FUNDAMENTALS AND APPLICATIONS, PTS 1 AND 2, 1997, : 878 - 883
  • [10] Flexible Multibody Dynamics Finite Element Formulation Applied to Structural Progressive Collapse Analysis
    Kuche Sanches, Rodolfo Andre
    Coda, Humberto Breves
    [J]. LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES, 2017, 14 (01): : 52 - 71