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Transfer matrix method for multibody systems (Rui method) and its applications

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Abstract

The transfer matrix method for multibody systems, namely the “Rui method”, is a new method for studying multibody system dynamics, which avoids the global dynamics equations of the system, keeps high computational speed, and allows highly formalized programming. It has been widely applied to scientific research and key engineering of lots of complex mechanical systems in 52 research directions. The following aspects regarding the transfer matrix method for multibody systems are reviewed systematically in this paper: history, basic principles, formulas, algorithm, automatic deduction theorem of overall transfer equation, visualized simulation and design software, highlights, tendency, and applications in 52 research directions in over 100 key engineering products.

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References

  1. Rui X T, Wang X, Zhou Q B, et al. Developments in transfer matrix method for multibody systems (Rui method) and its applications. In: Proceedings of the 14th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. Quebec, 2018 (This paper was awarded the best paper in this International Conference)

  2. Rui X T. Study on launch dynamics of multibody systems. Dissertation for Dcotoral Degree. Nanjing: Nanjing University of Science and Technology, 1993

    Google Scholar 

  3. Rui X T, Yun L F, Lu Y Q, et al. Transfer Matrix Method of Multibody System and Its Applications (in Chinese). Beijing: Science Press, 2008

    Google Scholar 

  4. Rui X T, Liu Y X, Yu H L. Launch Dynamics of Tank and Selfpropelled Artillery (in Chinese). Beijing: Science Press, 2011

    Google Scholar 

  5. Rui X T, Wang G P, Zhang J S. Transfer Matrix Method for Multibody Systems: Theory and Applications. Singapore: John Wiley & Sons, 2018

    Google Scholar 

  6. Rui X T, Lu Y Q, Wang G P, et al. Simulation and Test Methods of Launch Dynamics of Multiple Launch Rocket System. Beijing: National Defense Industry Press, 2003

    Google Scholar 

  7. Rui X T. Launch Dynamics of Multibody Systems (in Chinese). Beijing: National Defense Industry Press, 1995

    Google Scholar 

  8. Rui X T, Yun L F, Wang G P, et al. Direction to Launch Safety of Ammunition (in Chinese). Beijing: National Defense Industry Press, 2009

    Google Scholar 

  9. Rui X T, Yun L F, Lu Y Q. Augmented eigenvector of multibody system coupled with rigid and elastic bodies and its orthogonality. Acta Armamentarii, 2007, 28: 581–586

    Google Scholar 

  10. Rui X T, Wang G P, Lu Y Q, et al. Transfer matrix method for linear multibody system. Multibody Syst Dyn, 2008, 19: 179–207

    Article  MathSciNet  MATH  Google Scholar 

  11. Bestle D, Abbas L K, Rui X T. Recursive eigenvalue search algorithm for transfer matrix method of linear flexible multibody systems. Multibody Syst Dyn, 2014, 32: 429–444

    Article  Google Scholar 

  12. Rui X T, He B, Lu Y Q, et al. Discrete time transfer matrix method for multibody system dynamics. Multibody Syst Dyn, 2005, 14: 317–344

    Article  MathSciNet  MATH  Google Scholar 

  13. Rui X T, He B, Rong B, et al. Discrete time transfer matrix method for multi-rigid-flexible-body system moving in plane. Proc IMechE Part K: J Multi-body Dynamics, 2009, 223: 23–42

    Google Scholar 

  14. He B, Rui X T, Wang G P. Riccati discrete time transfer matrix method for elastic beam undergoing large overall motion. Multibody Syst Dyn, 2007, 18: 579–598

    Article  MathSciNet  MATH  Google Scholar 

  15. Rui X T, Bestle D, Zhang J S, et al. A new version of transfer matrix method for multibody systems. Multibody Syst Dyn, 2016, 38: 137–156

    Article  MathSciNet  MATH  Google Scholar 

  16. Yun L F, Rui X T, He B, et al. Transfer matrix method for a two dimensional system. Chin J Theor Appl Mech, 2006, 38: 712–720

    Google Scholar 

  17. Lu W J, Rui X T, Yun L F, et al. Transfer matrix method for linear controlled multibody system. J Vib Shock, 2006, 25: 25–30

    Google Scholar 

  18. Bestle D, Rui X T. Application of the transfer matrix method to control problems. In: Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics. Zagreb, 2013. 259–268

  19. Wang G P, Rui X T, Tang W B. Active vibration control design method based on transfer matrix method for multibody systems. J Eng Mech, 2017, 143: 1–9

    Google Scholar 

  20. Rong B, Rui X T, Wang G P, et al. Discrete time transfer matrix method for dynamics of multibody system with real-time control. J Sound Vib, 2010, 329:627–643

    Article  Google Scholar 

  21. Rui X T, Zhang J S, Zhou Q B. Automatic deduction theorem of overall transfer equation of multibody system. Adv Mech Eng, 2014, 6: 378047

    Article  Google Scholar 

  22. Rui X T, Wang G P, Zhang J S, et al. Study on automatic deduction method of overall transfer equation for branch multibody system. Adv Mech Eng, 2016, 8: 1–16

    Article  Google Scholar 

  23. Zhou Q B, Rui X T, Tao Y, et al. Deduction method of the overall transfer equation of linear controlled multibody systems. Multibody Syst Dyn, 2016, 38: 263–295

    Article  MathSciNet  MATH  Google Scholar 

  24. Zhou Q B, Rui X T. A representation of the transfer matrix method for linear controlled multibody systems using matrix signal flow graph. In: Proceedings of the 14th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. Quebec, 2018

  25. He B, Rui X T, Lu Y Q. Hybrid method of discrete time transfer matrix method for multibody system dynamics and finite element method. J Nanjing Univ Sci Tech, 2006, 30: 395–399

    Google Scholar 

  26. Rui X T, Gu J J, Zhang J S, et al. Visualized simulation and design method of mechanical system dynamics based on transfer matrix method for multibody systems. Adv Mech Eng, 2017, 9: 168781401771472

    Article  Google Scholar 

  27. Zhang J S, Rui X T, Liu F F, et al. Substructuring technique for dynamics analysis of flexible beams with large deformation. J Shanghai Jiaotong Univ (Sci), 2017, 22: 562–569

    Article  Google Scholar 

  28. Gu J J, Rui X T, Zhang J S, et al. Riccati transfer matrix method for linear tree multibody systems. J Appl Mech, 2017, 84: 011008

    Article  Google Scholar 

  29. Krauss R, Okasha M. Discrete-time transfer matrix modeling of flexible robots under feedback control. In: Proceedings of the 2013 American Control Conference (ACC). Washington, 2013. 4104–4109

  30. Abbas L K, Zhou Q B, Hendy H, et al. Transfer matrix method for determination of the natural vibration characteristics of elastically coupled launch vehicle boosters. Acta Mech Sin, 2015, 31: 570–580

    Article  MathSciNet  MATH  Google Scholar 

  31. Cramer N, Swei S S M, Cheung K C, et al. Extended discrete-time transfer matrix approach to modeling and decentralized control of lattice-based structures. Struct Control Health Monit, 2016, 23: 1256–1272

    Article  Google Scholar 

  32. Zhang X P, Sørensen R, Iversen M R, et al. Computationally efficient dynamic modeling of robot manipulators with multiple flexible-links using acceleration-based discrete time transfer matrix method. Robotics Comput-Integrated Manufacturing, 2018, 49: 181–193

    Article  Google Scholar 

  33. Chang Y, Ding J G, Zhuang H, et al. Study on the model of single-point diamond fly cuuting machine tool at different rotational speed based on trasfer matrix method for multibody systems. In: Proceedings of the 14th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. Quebec, 2018

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Authors and Affiliations

  1. Institute of Launch Dynamics, Nanjing University of Science and Technology, Nanjing, 210094, China

    XiaoTing Rui, Xun Wang, QinBo Zhou & JianShu Zhang

Authors
  1. XiaoTing Rui
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  2. Xun Wang
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  3. QinBo Zhou
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  4. JianShu Zhang
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Corresponding author

Correspondence to XiaoTing Rui.

Additional information

The predecessor of this paper was reported and was awarded the best paper as ref. [1] in the 14th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, August 26–29, 2018, Quebec City, Canada. The title of this paper just was the topic of an International Symposium in the International Conference.

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Rui, X., Wang, X., Zhou, Q. et al. Transfer matrix method for multibody systems (Rui method) and its applications. Sci. China Technol. Sci. 62, 712–720 (2019). https://doi.org/10.1007/s11431-018-9425-x

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  • DOI: https://doi.org/10.1007/s11431-018-9425-x

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