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International Conference on Intelligent Robotics and Applications

ICIRA 2008: Intelligent Robotics and Applications pp 294–303Cite as

RATTLE Method for Dissipative Constrained Hamiltonian Systems

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5314))

Abstract

Firstly, the Hamiltonian formulation for the constrained dissipative systems was deduced, it is index-3 DAEs. The index-2 DAEs was obtained based on the GGL stabilized method. Then RATTLE method that proposed for motion equations of conservative constrained Hamiltonian systems was extended to solve dissipative constrained Hamiltonian systems. For the dissipative systems, the symplectic structure of RATTLE method is no longer preserved, but this method can capture the decay of the energy accurately because of no numerical dissipation. Numerical experiment results illustrate the effectiveness of the method.

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Author information

Authors and Affiliations

  1. Center for Computer-Aided Design, Huazhong University of Science & Technology, Wuhan, P.R. China

    XiuTeng Ma, Li-Ping Chen & YunQing Zhang

Authors
  1. XiuTeng Ma
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  2. Li-Ping Chen
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  3. YunQing Zhang
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Editor information

Editors and Affiliations

  1. School of Mechanical Science and Engineering, Huazhong University of Science and Technology, 430074, Wuhan, China

    Caihua Xiong , Yongan Huang  & Youlun Xiong ,  & 

  2. Institute of Industrial Research, University of Portsmouth, Burnaby Building, PO1 3QL, Portsmouth, UK

    Honghai Liu

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© 2008 Springer-Verlag Berlin Heidelberg

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Ma, X., Chen, LP., Zhang, Y. (2008). RATTLE Method for Dissipative Constrained Hamiltonian Systems. In: Xiong, C., Huang, Y., Xiong, Y., Liu, H. (eds) Intelligent Robotics and Applications. ICIRA 2008. Lecture Notes in Computer Science(), vol 5314. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88513-9_32

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  • DOI: https://doi.org/10.1007/978-3-540-88513-9_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88512-2

  • Online ISBN: 978-3-540-88513-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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