WANG Zhen, DING Jieyu. A Multibody System Dynamics Vector Model and the Multistep Block Numerical Method[J]. Applied Mathematics and Mechanics, 2020, 41(12): 1323-1335. doi: 10.21656/1000-0887.400340
Citation: WANG Zhen, DING Jieyu. A Multibody System Dynamics Vector Model and the Multistep Block Numerical Method[J]. Applied Mathematics and Mechanics, 2020, 41(12): 1323-1335. doi: 10.21656/1000-0887.400340

A Multibody System Dynamics Vector Model and the Multistep Block Numerical Method

doi: 10.21656/1000-0887.400340
Funds:  The National Natural Science Foundation of China(11772166;11472143)
  • Received Date: 2019-11-11
  • Rev Recd Date: 2020-05-09
  • Publish Date: 2020-12-01
  • A multi-body system dynamics model was described with the direction vector method, and the index 3 differential-algebraic equation was reduced to index 1. The multistep block numerical solution scheme was built for the long-time simulation of multi-body systems. The simulation results show that, under the same time step, the multistep block method is better than the classical Runge-Kutta method in terms of the energy error, the position constraint, the speed constraint, the acceleration constraint and the direction vector constraint. The multistep block schemes constructed with the Chebyshev nodes and the Legendre nodes are better than that with the equidistant nodes in terms of the maximum energy error and the direction vector constraint error. The Runge-Kutta method is not suitable for long-time simulation, but the multistep block method can maintain good computational accuracy for long-time simulation.
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