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Numerical Methods Applied to the Kinematic Analysis of Planar Mechanisms and Biomechanisms

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XXVII Brazilian Congress on Biomedical Engineering (CBEB 2020)

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Abstract

This article presents a numerical methodology for the kinematic analysis of planar mechanisms based on the closed loop method. Initially, the mesh is defined with the aid of complex notation and, through iterative processes, the configuration of the mechanism is defined as a function of time. For the calculation of speeds and accelerations, the 4th order numerical derivative was applied. After applying the procedure, satisfactory results were obtained for a certain step size range, showing itself as a useful tool for kinematic analysis.

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References

  1. Norton RL (2009) Kinematics and dynamics of machinery. Mcgraw Hill Higher Education

    Google Scholar 

  2. De Vries J (1995) Conventional 4-bar linkage knee mechanisms: a strength-weakness analysis. J Rehabil Res Dev 32(1):36

    Google Scholar 

  3. Nigg BM (1985) Biomechanics, load analysis and sports injuries in the lower extremities. Sports Med 2(5):367–379

    Article  Google Scholar 

  4. Dillman CJ, Fleisig GS, Andrews JR (1993) Biomechanics of pitching with emphasis upon shoulder kinematics. J Orthop Sports Phys Ther 18(2):402–408

    Article  Google Scholar 

  5. Long JT, Klein JP, Sirota NM, Wertsch JJ, Janisse D, Harris GF (2007) Biomechanics of the double rocker sole shoe: gait kinematics and kinetics. J Biomech 40(13):2882–2890

    Article  Google Scholar 

  6. Doughty S (1988) Mechanics of machines (No. TJ170. D68 1988)

    Google Scholar 

  7. Uicker JJ, Pennock GR, Shigley JE, Mccarthy JM (2003) Theory of machines and mechanisms, vol 3. Oxford University Press, New York

    Google Scholar 

  8. Greene MP (1983) Four bar linkage knee analysis. Orthot Prosthet 37(1):15–24

    Google Scholar 

  9. Mabie HH, Reinholtz CF (1987) Mechanisms and dynamics of machinery. Wiley, New York

    Google Scholar 

  10. Chapra SC, Canale RP (2010) Numerical methods for engineers. McGraw-Hill Higher Education, Boston

    Google Scholar 

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Acknowledgements

The first author dedicates this work to the Sisplexos Group and the Zebra Aerodesign Team.

Conflict of Interest

The authors declare that they have no conflict of interest.

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Correspondence to H. N. Rosa .

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Rosa, H.N., Bazani, M.A., Chavarette, F.R. (2022). Numerical Methods Applied to the Kinematic Analysis of Planar Mechanisms and Biomechanisms. In: Bastos-Filho, T.F., de Oliveira Caldeira, E.M., Frizera-Neto, A. (eds) XXVII Brazilian Congress on Biomedical Engineering. CBEB 2020. IFMBE Proceedings, vol 83. Springer, Cham. https://doi.org/10.1007/978-3-030-70601-2_100

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  • DOI: https://doi.org/10.1007/978-3-030-70601-2_100

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-70600-5

  • Online ISBN: 978-3-030-70601-2

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