Dynamics of Multi-Body Mechanical Systems with Unilateral Constraints and Impacts

被引:6
|
作者
Zbiciak, Artur [1 ]
Kozyra, Zofia [1 ]
机构
[1] Warsaw Univ Technol, Inst Bldg Engn, 16 Armii Ludowej Ave, PL-00637 Warsaw, Poland
关键词
dynamics; non-smooth mechanics; multi-body systems; unilateral constraints; impact; contact; non-linear vibrations;
D O I
10.1016/j.proeng.2014.12.024
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
The paper deals with mathematical description and computer simulation of multi-body dynamical systems with constraints imposed on displacements and velocities. Such mechanical systems contain a finite number of material points, whose motion is limited by unilateral constraints. The mathematical description of the problem, concerning the interaction between material points and unilateral constraints, is presented. The dynamic problem was defined in order to evaluate accelerations of elements and reactions of constraints. Moreover, the impact problem was formulated. The solution of the impact problem determines non-continuous change in velocities of elements and impulses of constraints' reactions. (C) 2014 The Authors. Published by Elsevier Ltd.
引用
收藏
页码:112 / 117
页数:6
相关论文
共 50 条
  • [21] Explicit equations of motion for constrained mechanical systems with singular mass matrices and applications to multi-body dynamics
    Udwadia, Firdaus E.
    Phohomsiri, Phailaung
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2006, 462 (2071): : 2097 - 2117
  • [22] Multi-body dynamics in vehicle engineering
    Rahnejat, H.
    Johns-Rahnejat, P. M.
    Dolatabadi, N.
    Rahmani, R.
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART K-JOURNAL OF MULTI-BODY DYNAMICS, 2024, 238 (01) : 3 - 25
  • [23] Multi-body dynamics - fundamentals and applications
    Schiehlen, W
    MULTIBODY DYNAMICS: MONITORING AND SIMULATION TECHNIQUES - III, 2004, : 3 - 14
  • [24] THE DYNAMICS OF SYSTEMS WITH UNILATERAL CONSTRAINTS
    IVANOV, AP
    MARKEEV, AP
    PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1984, 48 (04): : 448 - 451
  • [25] Contact problems in multi-body dynamics
    Schiehlen, W
    Hu, B
    MULTI-BODY DYNAMICS: MONITORING AND SIMULATION TECHNIQUES II, 2000, : 3 - 14
  • [26] Opinion Dynamics with Multi-body Interactions
    Neuhauser, Leonie
    Schaub, Michael T.
    Mellor, Andrew
    Lambiotte, Renaud
    NETWORK GAMES, CONTROL AND OPTIMIZATION, NETGCOOP 2020, 2021, 1354 : 261 - 271
  • [27] A mathematical model for the dynamic analysis of multi-body floating platforms with complex mechanical constraints
    Hallak, Thiago S.
    Gaspar, Jose F.
    Soares, C. Guedes
    OCEAN ENGINEERING, 2024, 314
  • [28] ADD: Analytically Differentiable Dynamics for Multi-Body Systems with Frictional Contact
    Geilinger, Moritz
    Hahn, David
    Zehnder, Jonas
    Baecher, Moritz
    Thomaszewski, Bernhard
    Coros, Stelian
    ACM TRANSACTIONS ON GRAPHICS, 2020, 39 (06):
  • [29] Modeling of shaking table systems aided by multi-body dynamics software
    20151300679683
    (1) Department of Computer Science and Engineering, Nagoya Institute of Technology, Gokiso, Showa, Nagoya, Aichi; 466-8555, Japan, 1600, (Japan Society of Mechanical Engineers):
  • [30] From multi-body to many-body dynamics
    Theodossiades, S.
    Teodorescu, M.
    Rahnejat, H.
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 2009, 223 (12) : 2835 - 2847