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Unconventional Mathematical Model for Complex Mechanical Structures

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SYROM 2009
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Abstract

The paper presents an unconventional mathematical model, originally built to simulate the motion of mechanical structures with rigid bodies, which is now rewritten with different assumptions regarding the deformations of kinematic elements. The steps to be followed are also described, considering a particular mechanical system. Virtual models are created, using programming languages, aiming to enable the proposed mathematical model and to simulate the kinematics of mechanical structure.

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References

  1. Featherstone, R.: Rigid body dynamics algorithms. Springer Science Business Media, LLC, The Australian National University, Canberra, ACT, Australia (2008)

    Book  MATH  Google Scholar 

  2. Hibbeler, R.C.: Engineering mechanics – dynamics, 11th edn. Prentice-Hall, NJ (2006)

    Google Scholar 

  3. Mereuta, E.: Abstract Algebra structures regarding the mathematical models for kinematic chains, pp. 51–54. In: The Annals of “Dunărea de Jos” University, Fascicle X Applied Mechanics (1999). ISSN 1221–4612

    Google Scholar 

  4. Mereuta, E.: Mechanical system stability related to the axiomatic system proposed, pp. 47–50. In: The Annals of “Dunărea de Jos” University, Fascicle X Applied Mechanics (1999). ISSN 1221–4612

    Google Scholar 

  5. Mereuta, E., Chirica, R.: Mathematical models for stimulating the determined mechanical structures motion, pp. 15–18. In: The Annals of “Dunarea de Jos” University of Galati, Fascicle X – Applied Mechanics (2000). ISSN 1221–4612

    Google Scholar 

  6. Mereuta, E.: Unconventional algorithm analysis of output kinematic element motion, pp. 47–52. In: The Annals of “Dunarea De Jos” University of Galati, Fascicle X Applied Mechanics (2004). ISSN 1221–4612

    Google Scholar 

  7. Mereuta, E.: Equivalence mathematical relationships in the analysis of complex mechanical structures, pp. 13–16. In: The Annals of “Dunarea De Jos” University Of Galati, Fascicle X Applied Mechanics (2006). ISSN 1221–4612

    Google Scholar 

  8. Meriam JL, Kraige LG (2006) Engineering Mechanics: Dynamics, 6th edn. Wiley, New York

    Google Scholar 

  9. Oranescu, A., Mereuta, E., Stroe, S.: New principles on the equivalence classes of the topologies of rigid multibody systems. In: Huang, T. (ed.) Proceedings of the 11th World Congress in Mechanism and Machine Science, pp. 999–1003. China Machinery Press, Tianjin, China. ISBN7-89492-107-6/TH-14

    Google Scholar 

  10. Oranescu, A., Mereuta, E., Bejenaru, S., Rus, M.: Sur la dynamique des structures mécaniques mobiles. The 12th IFToMM World Congress. Besançon, France, 18–21 June 2007

    Google Scholar 

  11. Oranescu, A.: Prioritatile patrimoniului stiintific ale scolii de mecanisme din Galati. Galati University Press, Galati (2008)

    Google Scholar 

  12. Shabana, A.: Computational Dynamics, 2nd edn., p. 188. Wiley-Interscience, New York (2001)

    Google Scholar 

  13. Wang, P.B., Li, B.H., Chai, X., Yanqiang, D.: Research on high level modeling method for complex simulation system. In: Systems Modeling and Simulation, Theory and Applications, Asia Simulation Conference, p. 93. Springer (2006)

    Google Scholar 

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Mereuta, E., Ciubucciu-Ionete, G., Rus, M., Veresiu, S. (2010). Unconventional Mathematical Model for Complex Mechanical Structures. In: Visa, I. (eds) SYROM 2009. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3522-6_26

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  • DOI: https://doi.org/10.1007/978-90-481-3522-6_26

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-3521-9

  • Online ISBN: 978-90-481-3522-6

  • eBook Packages: EngineeringEngineering (R0)

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