| Issue |
MATEC Web of Conferences
Volume 61, 2016
The International Seminar on Applied Physics, Optoelectronics and Photonics (APOP 2016)
|
|
|---|---|---|
| Article Number | 01004 | |
| Number of page(s) | 4 | |
| Section | Chapter 1 Applied Physics | |
| DOI | https://doi.org/10.1051/matecconf/20166101004 | |
| Published online | 28 June 2016 | |
Dynamics of Complex Mechanical Systems Based on Lie Groups and Lie algebra
School of Mechanical, Shanghai Dianji University, Shanghai 201306, China
a Corresponding author: shaob@sdju.edu.cn
Adjoint transformations and adjoint operators of Lie groups and Lie algebra are discussed in this paper to study the recursive dynamics of complex systems. The dynamics based on Lie groups and Lie algebra of tree topology systems is then developed. Efficient dynamics algorithms for closed-loop systems and flexible systems can be developed. Simulation results show that the dynamic problems can be solved quickly and efficiently using the method. This study provides a foundation for real-time control based on dynamics.
© Owned by the authors, published by EDP Sciences, 2016
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