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Nonlinear Dynamics

, Volume 98, Issue 2, pp 1519–1553 | Cite as

Theoretical modeling and numerical solution methods for flexible multibody system dynamics

  • Bao Rong
  • Xiaoting Rui
  • Ling TaoEmail author
  • Guoping Wang
Review
First Online:
  • 488 Downloads

Abstract

Flexible multibody system dynamics (MSD) is one of the hot spots and difficulties in modern mechanics. It provides a powerful theoretical tool and technical support for dynamic performance evaluation and optimization design of a large number of complex systems in many engineering fields, such as machinery, aviation, aerospace, weapon, robot and biological engineering. How to find an efficient accurate dynamics modeling method and its stable reliable numerical solving algorithm are the two core problems of flexible MSD. In this paper, the research status of modeling methods of flexible MSD in recent years is summarized first, including the selection of reference frames, the flexible body’s kinematics descriptions, the deductions of dynamics equation, the model reduction techniques and the modeling methods of the contact/collision, uncertainty and multi-field coupling problems. Then, numerical solution technologies and their latest developments of flexible MSD are discussed in detail. Finally, the future research directions of modeling and numerical computation of flexible MSD are briefly prospected.

Keywords

Multibody dynamics Contact/impact Ordinary differential equation Differential–algebraic equation Cosimulation Uncertainty Multi-field coupling Transfer matrix method Absolute nodal coordinate formulation Computer symbolic modeling Explicit–implicit hybrid integration Adaptive time integration Multi-rate method Parallel computing Clearance Lubrication Wear Nonlinear dynamics 
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Notes

Acknowledgements

The research received the support of the Natural Science Foundation of China (Grant Nos: 11702292, 11605234). We are very grateful to the experts in the field of multibody dynamics for providing a large number of reference data and modification suggestions.

Compliance with ethical standards

Conflicts of interest

The authors declare that they have no conflict of interest.

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© Springer Nature B.V. 2019

Authors and Affiliations

  • Bao Rong
    • 1
  • Xiaoting Rui
    • 2
  • Ling Tao
    • 1
    Email author
  • Guoping Wang
    • 2
  1. 1.Institute of Plasma PhysicsChinese Academy of Sciences (ASIPP)HefeiPeople’s Republic of China
  2. 2.Institute of Launch DynamicsNanjing University of Science and TechnologyNanjingPeople’s Republic of China

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