Dynamics of a large scale rigid-flexible multibody system composed of composite laminated plates

Cheng Liu, Qiang Tian*, Haiyan Hu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

145 Citations (Scopus)

Abstract

A novel computational approach for the dynamic analysis of a large scale rigid-flexible multibody system composed of composite laminated plates is proposed. The rigid parts in the system are described through the Natural Coordinate Formulation (NCF) and the flexible bodies in the system are modeled via the finite elements of Absolute Nodal Coordinate Formulation (ANCF), which can lead to a constant mass matrix for the derived system equation of motion. For modeling composite laminated plates accurately, a new composite laminated plate element of ANCF is proposed and the corresponding efficient formulations for evaluating both the elastic force and its Jacobian of the element are derived from the first Piola-Kirchhoff stress tensor. To improve computational efficiency, the sparse matrix technology and graph theory are used to solve the huge set of linear algebraic equations in the process of integrating the equations of motion by using the generalized-a method, and an OpenMP based parallel scheme is also introduced. Finally, the effectiveness of the proposed approach is validated through two numerical examples. One is the static simulation of a single composite laminated plate under gravity and the other is the dynamic simulations of unfolding process of a satellite system with a pair of complicated antennas.

Original languageEnglish
Pages (from-to)283-305
Number of pages23
JournalMultibody System Dynamics
Volume26
Issue number3
DOIs
Publication statusPublished - Oct 2011

Keywords

  • Absolute Nodal Coordinate Formulation (ANCF)
  • Composite laminated plate
  • Natural Coordinate Formulation (NCF)
  • OpenMP
  • Parallel scheme
  • Sparse matrix

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