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Useful Procedures in Multibody Dynamics

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Dynamics of Multibody Systems

Part of the book series: IUTAM Symposium ((IUTAM))

Summary

This paper discusses four concepts expected to lead to advances in numerical simulation of multibody system dynamics. They are: 1) Body connection arrays; 2) Euler parameters; 3) Kane’s equations; and 4) Orthogonal complement arrays.

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References

  1. Bayazitoglu, Y. O. and Chace, M. A.: Methods of Automated Dynamic Analysis of Discrete Mechanical Systems. J. Appl. Mech. 40 (1973) 809–819.

    Article  ADS  Google Scholar 

  2. Hollerback, J. M.: A Recursive Lagrangian Formulation of Manipulator Dynamics and a Comparative Study of Dynamics of Formulation Complexity. IEEE Trans. Sys. Man. Cyber. SMC-10 (1980) 730–736.

    Article  Google Scholar 

  3. Hooker, W. W. and Margulies, G.:. The Dynamical Attitude Equations for an n-Body Satellite. J. Astr. Sci. 12 (1965) 123–128.

    MathSciNet  Google Scholar 

  4. Huston, R. L. and Passerello, C. E.: On the Dynamics of Chain Systems. ASME Paper 74-WA/Aut 11 (1974).

    Google Scholar 

  5. Huston, R. L., Passerello, C. E., and Harlow, M. W.: Dynamics of Multi-Rigid-Body Systems. J. Appl. Mech. 45 (1978) 889–894.

    Article  ADS  Google Scholar 

  6. Huston, R. L. and Passerello, C. E.: On Multi-Rigid-Body System Dynamics. Comp. and Struct. 19 (1979) 439–446.

    Article  ADS  Google Scholar 

  7. Huston, R. L. and Passerello, C. E.: On Lagrange’s Form of d’Alembert’s Principle. Mat. and Ten. Quart. 23 (1973) 109–112.

    Google Scholar 

  8. Huston, R. L. and Passerello, C. E.: Eliminating Singularities in Governing Equations of Mechanical Systems. Mech. Res. Comm. (1976) 361–365.

    Google Scholar 

  9. Huston, R. L.: Multibody Dynamics Including the Effects of Flexibility and Compliance. Comp. and Struct. 14 (1981) 443–451.

    Article  Google Scholar 

  10. Huston, R. L. and Passerello, C. E.: Multibody Structural Dynamics Including Translation Between the Bodies. Comp. and Struct. 11 (1980) 715–720.

    MathSciNet  Google Scholar 

  11. Huston, R. L. and Passerello, C. E.: On Constraint Equations–A New Approach. J. Appl. Mech. 41 (1974) 1130–1131.

    Article  ADS  Google Scholar 

  12. Kamman, J. W. and Huston, R. L.: Constrained Multibody System Dynamics.,Comp. and Struct. 18 (1984) 999–1003.

    MATH  Google Scholar 

  13. Kane, T. R.: Dynamics of Nonholonomic Systems. J. Appl. Mech. 28 (1961) 574–578.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  14. Kane, T. R. and Levinson, D. A.: Formulation of Equations of Motion for Complex Spacecraft. J. Guid. and Cont. 3 0 1980 ) 99–112

    Article  MathSciNet  MATH  Google Scholar 

  15. Kane, T. R. and Levinson, D. A.: Dynamics: Theory and Application. New York. McGraw Hill. 1985.

    Google Scholar 

  16. Lilov, L. K. and Chirikov, V. A.: On the Dynamics of Systems of Interconnected Bodies. Prikl. Matem. Mekhan. 45 (1981) 525–534.

    Google Scholar 

  17. Nikravesh, P. E. and Chung, I. S.: Application of Euler Parameters to the Dynamic Analysis of Three-Dimensional Constrained Mechanical Systems. J. Mech. Des. 104 (1982) 785–791.

    Article  Google Scholar 

  18. Scheihlen, W. O. and Kreuzer, E. J.: Symbolic Computerized Derivation of Equations of Motion. Dynamics of Multibody Systems (K. Magnus, Ed.) Berlin. Springer 1977.

    Google Scholar 

  19. Wittenburg, J.: Nonlinear Equations of Motion for Arbitrary Systems of Interconnected Rigid Bodies. Dynamics of Multibody Systems (K. Magnus, Ed.) Berlin. Springer 1977.

    Google Scholar 

  20. Hemami, H. and Weimer, F. C.: Modelling of Nonholonomic Dynamic Systems with Applications. J. Appl. Mech. 48 (1981) 177–182.

    Article  ADS  MATH  Google Scholar 

  21. Walton, W. C., Jr. and Steeves, E. C.: A New Matrix Theorem and Its Application for Establishing Independent Coordinates for Complex Dynamical Systems with Constraints. NASA Tech. Rep. TR-R-326 (1969).

    Google Scholar 

  22. Kane, T. R. and Wang, C. F.: On the Derivation of Equations of Motion. J. Soc. Ind. and Appl. Math. 13 (1965) 487–492.

    Article  MathSciNet  MATH  Google Scholar 

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© 1986 Springer, Berlin Heidelberg

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Huston, R.L. (1986). Useful Procedures in Multibody Dynamics. In: Bianchi, G., Schiehlen, W. (eds) Dynamics of Multibody Systems. IUTAM Symposium. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82755-6_6

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  • DOI: https://doi.org/10.1007/978-3-642-82755-6_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82757-0

  • Online ISBN: 978-3-642-82755-6

  • eBook Packages: Springer Book Archive

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