PARAMETERIZATION OF STRUCTURE ELEMENTS OF COMPLEX GEOMETRY

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Abstract

Experimental approach of parametrization of three-dimensional bodies and thin-walled elements of structures of complex geometry is considered Algorithm for constructing a spa- tial network, as well as determining the coordinates, components of the metric tensor and Christoffel symbols are given. Efficiency of modeling elements of complex geometry by a spline version of the finite element method is discussed

About the authors

SAMAT NUKHOVICH YAKUPOV

IME, Kazan Science Center, Russian Academy of Sciences

Author for correspondence.
Email: tamas_86@mail.ru

Сandidate of technical Sciences, Institute of Mechanics and Engineering (IME), Kazan Science Center, Russian Academy of Sciences. Sphere of scientific interests: mechanics of thin-walled structures, mechanics of films and membranes, composite structures, adhesion, corrosion,

Республика Татарстан, г. Казань, ул. Лобачевского, 2/31

RINNAT GALEEVICH NURULLIN

IME, Kazan Science Center, Russian Academy of Sciences

Email: nrg@mail.ru

Сandidate of technical Sciences, IME, Kazan Science Center, Russian Academy of Sciences. Sphere of scientific interests: mechanics of thin-walled structures, mechanics of films and membranes, Stability of objects, life safety

Республика Татарстан, Казань, Лобачевского, 2/31

NUH MAKHMUDOVICH YAKUPOV

IME, Kazan Science Center, Russian Academy of Sciences

Email: yzsrr@kfti.knc.ru

doctor of technical Sciences, professor, member- correspondent of the Russian Academy of engineering, chief researcher, head of laboratory of Nonlinear mechanics of shells, IME, Kazan Science Center, Russian Academy of Sciences. Sphere of scientific interests: mechanics of thin-walled structures of complex geometry; films and membranes, corrosion, finite element method, construction and engineering design

Республика Татарстан, Казань, Лобачевского, 2/31

References

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  4. Montemor, M.F. (2014). Functional and smart coatings for corrosion protection: A review of recent advances. Surface & Coatings Technology, 258. 17—37.
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  7. Kornishin, M.S., Yakupov N.M. (1987). Splajnovyj variant metoda konechnyh ehlementov dlya rascheta obolochek slozhnoj geometrii. Prikladnaya Mekhanika, Vol. 23, No 3. 38—44.
  8. Yakupov, N.M, Kiyamov, H.G., Akhmadiev, F.G, Kiyamov, I.H, Yakupov, S.N. (2012). Simulation of shells of complex geometry. 14th International Conference on Computing in Civil and Building Engineering. Moscow, June 27-29, 2012, 0139 paper_long.pdf.
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  10. Yakupov, N.M., Yakupov, S.N., Rynkovskay, M.I. (2016). Some problems of corrosion and methods of protection. Abstract Book: 2nd International Congress On Technology - Engineering & SciencE. Malaysia. July 28-29. 2016. 143—145.
  11. Yakupov, N.M., Kiyamov, H.G. et al (2002). Metody i podhody issledovaniya napryazhenno-deformirovannogo sostoyaniya konstrukcij slozhnoj geometrii [Methods and approaches of inves-tigation of stress-strain state of a structure of complex geometry]. Stroitel'stvo. Izv. VUZov, №8 (524). 14—18.
  12. Yakupov, N.M., Kiyamov, H.G., Yakupov, S.N., Kiyamov, I.H. (2011). Modelirovanie ehlementov konstrukcij slozhnoj geometrii trekhmernymi konechnymi ehlementami [The modelling of elements of structures of complex geometry by 3D finite elements]. Mekhanika Kompozicionnyh Materialov i Konstrukcij, No 1. 145—154.

Copyright (c) 2017 YAKUPOV S.N., NURULLIN R.G., YAKUPOV N.M.

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