TY - JOUR
T1 - An efficient hybrid method for multibody dynamics simulation based on absolute nodal coordinate formulation
AU - Tian, Qiang
AU - Chen, Li Ping
AU - Zhang, Yun Qing
AU - Yang, Jingzhou
PY - 2009/4
Y1 - 2009/4
N2 - This paper presents an efficient hybrid method for dynamic analysis of a flexible multibody system. This hybrid method is the combination of a penalty and augmented Lagrangian formulation with the mass-orthogonal projections method based on the absolute nodal coordinate formulation (ANCF). The characteristic of the ANCF that the mass matrix is constant and both Coriolis and centrifugal terms vanish in the equations of motion make the proposed method computationally efficient. Within the proposed method, no additional unknowns, such as the Lagrange multipliers in the Newmark method, are introduced, and the number of equations does not depend on the number of constraint conditions. Furthermore, conventional integration stabilization methods, such as Baumgarte's method. are unnecessary. Therefore, the proposed method is particularly suitable for systems with redundant constraints, singular configurations, or topology changes. Comparing results from different methods in terms of efficiency and accuracy has shown that the proposed hybrid method is efficient and has good convergence characteristics for both stiff and flexible multibody systems.
AB - This paper presents an efficient hybrid method for dynamic analysis of a flexible multibody system. This hybrid method is the combination of a penalty and augmented Lagrangian formulation with the mass-orthogonal projections method based on the absolute nodal coordinate formulation (ANCF). The characteristic of the ANCF that the mass matrix is constant and both Coriolis and centrifugal terms vanish in the equations of motion make the proposed method computationally efficient. Within the proposed method, no additional unknowns, such as the Lagrange multipliers in the Newmark method, are introduced, and the number of equations does not depend on the number of constraint conditions. Furthermore, conventional integration stabilization methods, such as Baumgarte's method. are unnecessary. Therefore, the proposed method is particularly suitable for systems with redundant constraints, singular configurations, or topology changes. Comparing results from different methods in terms of efficiency and accuracy has shown that the proposed hybrid method is efficient and has good convergence characteristics for both stiff and flexible multibody systems.
KW - Absolute nodal coordinate formulation
KW - Augmented Lagrangian formulation
KW - Baumgarte's method
KW - Mass-orthogonal projections method
KW - Penalty method
UR - http://www.scopus.com/inward/record.url?scp=74249104345&partnerID=8YFLogxK
U2 - 10.1115/1.3079783
DO - 10.1115/1.3079783
M3 - Article
AN - SCOPUS:74249104345
SN - 1555-1415
VL - 4
SP - 1
EP - 14
JO - Journal of Computational and Nonlinear Dynamics
JF - Journal of Computational and Nonlinear Dynamics
IS - 2
ER -