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.
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e-mail: tianqiang_hust@yahoo.com.cn
e-mail: chenlp@hustcad.com
e-mail: zhangyq@hust.edu.cn
e-mail: james.yang@ttu.edu
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April 2009
Research Papers
An Efficient Hybrid Method for Multibody Dynamics Simulation Based on Absolute Nodal Coordinate Formulation
Qiang Tian,
Qiang Tian
Center for Computer-Aided Design, School of Mechanical Science and Engineering,
e-mail: tianqiang_hust@yahoo.com.cn
Huazhong University of Science and Technology
, Wuhan, Hubei 430074, P.R. China
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Li Ping Chen,
Li Ping Chen
Center for Computer-Aided Design, School of Mechanical Science and Engineering,
e-mail: chenlp@hustcad.com
Huazhong University of Science and Technology
, Wuhan, Hubei 430074, P.R. China
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Yun Qing Zhang,
Yun Qing Zhang
Center for Computer-Aided Design, School of Mechanical Science and Engineering,
e-mail: zhangyq@hust.edu.cn
Huazhong University of Science and Technology
, Wuhan, Hubei 430074, P.R. China
Search for other works by this author on:
Jingzhou Yang
Jingzhou Yang
Department of Mechanical Engineering,
e-mail: james.yang@ttu.edu
Texas Tech University
, Lubbock, TX 79409
Search for other works by this author on:
Qiang Tian
Center for Computer-Aided Design, School of Mechanical Science and Engineering,
Huazhong University of Science and Technology
, Wuhan, Hubei 430074, P.R. Chinae-mail: tianqiang_hust@yahoo.com.cn
Li Ping Chen
Center for Computer-Aided Design, School of Mechanical Science and Engineering,
Huazhong University of Science and Technology
, Wuhan, Hubei 430074, P.R. Chinae-mail: chenlp@hustcad.com
Yun Qing Zhang
Center for Computer-Aided Design, School of Mechanical Science and Engineering,
Huazhong University of Science and Technology
, Wuhan, Hubei 430074, P.R. Chinae-mail: zhangyq@hust.edu.cn
Jingzhou Yang
Department of Mechanical Engineering,
Texas Tech University
, Lubbock, TX 79409e-mail: james.yang@ttu.edu
J. Comput. Nonlinear Dynam. Apr 2009, 4(2): 021009 (14 pages)
Published Online: March 10, 2009
Article history
Received:
November 30, 2007
Revised:
April 28, 2008
Published:
March 10, 2009
Citation
Tian, Q., Chen, L. P., Zhang, Y. Q., and Yang, J. (March 10, 2009). "An Efficient Hybrid Method for Multibody Dynamics Simulation Based on Absolute Nodal Coordinate Formulation." ASME. J. Comput. Nonlinear Dynam. April 2009; 4(2): 021009. https://doi.org/10.1115/1.3079783
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