Dynamics Analysis of Large-Deformation Flexible Multibody Systems Based on the Adaptive Modal Selection Method

LIU Zebin; LI Haiyan; ZHAN Hongyuan; LIANG Guiming

doi:10.21656/1000-0887.430368

Volume 44 Issue 11

Nov. 2023

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Article Navigation > Applied Mathematics and Mechanics > 2023 > 44(11): 1366-1377

LIU Zebin, LI Haiyan, ZHAN Hongyuan, LIANG Guiming. Dynamics Analysis of Large-Deformation Flexible Multibody Systems Based on the Adaptive Modal Selection Method[J]. Applied Mathematics and Mechanics, 2023, 44(11): 1366-1377. doi: 10.21656/1000-0887.430368

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Dynamics Analysis of Large-Deformation Flexible Multibody Systems Based on the Adaptive Modal Selection Method

doi: 10.21656/1000-0887.430368

School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou 510006, P.R.China

Received Date: 2022-11-14
Rev Recd Date: 2023-03-28
Publish Date: 2023-11-01

Abstract

Abstract

During the modal truncation to reduce the model order of flexible multibody systems, the inappropriate modal selection would impair the precision of dynamic responses, or even cause divergent solutions. Thus, an efficient method of adaptive modal selection based on the absolute nodal coordinate formulation (ANCF) was proposed for large-deformation flexible multibody systems. The dynamic model for the system was established with the ANCF beam elements. The full modal sparse representation was used for the coordinates of the interior region. The sampling matrix was built through the Latin hypercube sampling to reduce the number of dynamic equations. The sparse modal coordinates' norm optimization problem was constructed with the sampling dynamic equations as constraints, to which the solution could give modes of significant contribution. Two examples show that, the numerical results are very close to the results of common methods and the computation efficiency markedly improves.
- flexible multibody dynamics,
- adaptive selection,
- dynamic response,
- absolute nodal coordinate formulation (ANCF)

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References(19)

References

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