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Synthesis of stable reinforcement trajectories of composite structures on smooth layup surface

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Abstract

The problem of material stability at nongeodesic trajectories upon placing fibers on arbitrary smooth surfaces is considered. A problem of stable reinforcement trajectory synthesis is posed; a method of its solution is suggested and studied by computer simulations.

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References

  1. Lukaszewicz, D.H.-J.A., Ward, C., and Potter, K.D., The engineering aspects of automated prepreg layup: History, present and future, Composites Part B: Eng., 2012, vol. 3, pp. 997–1009.

    Article  Google Scholar 

  2. Prokof’ev, G.I., Concept of creation of automated technology of form-making of optimal construction from FCM. System of Automatic Formation, Avtomat. Sovrem. Tekhnol., 1999, no. 9, pp. 14–26.

    Google Scholar 

  3. Prokof’ev, G.I. and Shchemelev, M.V., Synthesis of reinforcement trajectory of anisotropic constructions from composites, Avtomat. Sovrem. Tekhnol., 2014, no. 8, pp. 22–30.

    Google Scholar 

  4. Prokof’ev, G.I., Technology of form-making of effective, scaffolding, optimal, anisotropic constructions from FCM, Kompozitnyi mir, 2013, no. 6, pp. 70–75.

    Google Scholar 

  5. Bommes, D. and Kobbelt, L., Accurate computation of geodesic fields for polygonal curves on triangle meshes, in Proc. Conf. on Vision Modeling and Visualization (VMV), pp. 151–160, 2007.

    Google Scholar 

  6. Abdel-All Nassar, H., Numerical treatment of geodesic differential equations on a surface in r3, Int. Mathem. Forum 2013, vol. 8, no. 4, pp. 15–29.

    MATH  Google Scholar 

  7. Maekawa, T., Computation of shortest paths on free-form parametric surfaces, J. Mechan. Design 1996, vol. 118, no. 4, pp. 499–508.

    Article  Google Scholar 

  8. Raynaud, X., The shortest path between two points, Geodesics and Mechanics, (Transference. Interdisciplinary Communications, CAS, Oslo. 2008/2009). http://www.cas.uio.no/Publications/Seminar/0809Raynaud.pdf

    Google Scholar 

  9. Caplan, R., Davis, N., Dehner, J., Hooper, N., and Mattie, H., Numerical Computation of Geodesics on Combined Piecewise-Smooth Surface. Final Project for Math 393: Math Clinic Boeing, 2009. http://sumseq.com/M393_Final_Report.pdf

    Google Scholar 

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Authors and Affiliations

  1. St. Petersburg State Electrotechnical University LETI, ul. Professora Popova 5, St. Petersburg, 197376, Russia

    M. V. Shchemelev & G. I. Prokof’ev

Authors
  1. M. V. Shchemelev
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  2. G. I. Prokof’ev
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Corresponding author

Correspondence to M. V. Shchemelev.

Additional information

Original Russian Text © M.V. Shchemelev, G.I. Prokof’ev, 2015, published in Avtomatika i Vychislitel’naya Tekhnika, 2015, No. 2, pp. 5–15.

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Shchemelev, M.V., Prokof’ev, G.I. Synthesis of stable reinforcement trajectories of composite structures on smooth layup surface. Aut. Control Comp. Sci. 49, 67–75 (2015). https://doi.org/10.3103/S0146411615020054

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  • DOI: https://doi.org/10.3103/S0146411615020054

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