PARAMETERIZATION OF STRUCTURE ELEMENTS OF COMPLEX GEOMETRY

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

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,

RINNAT GALEEVICH NURULLIN

IME, Kazan Science Center, Russian Academy of Sciences

Email: nrg@mail.ru
Республика Татарстан, Казань, Лобачевского, 2/31

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

NUH MAKHMUDOVICH YAKUPOV

IME, Kazan Science Center, Russian Academy of Sciences

Email: yzsrr@kfti.knc.ru
Республика Татарстан, Казань, Лобачевского, 2/31

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

References

  1. Yakupov, N.M., Galimov, Sh.K., Khismatullin, N.I. (2001). Ot Kamennyh Glyb k Tonkostennym Konstrukciyam [From Stones to Thin-walled Structures]. Kazan': Izd-vo “SOS”. 96 p.
  2. Krivoshapko, S.N., Ivanov, V.N. (2015). Encyclopedia of Analytical Surfaces. Springer International Publishing Switzerland. 752 p.
  3. Yakupov, N.M., Yakupov, S.N. (2009). Definition of mechanical characteristics of films with the pores, nanoinclusions and nanocoatings. Abstracts: The second Nanotechnology International Fo-rum. Moscow: Rusnanotech. 344—346.
  4. Montemor, M.F. (2014). Functional and smart coatings for corrosion protection: A review of recent advances. Surface & Coatings Technology, 258. 17—37.
  5. Yakupov, S.N., Yakupov, N.M. (2017). Thin-layer films and coatings. Journal of Physics: Conference series 857 012056.
  6. Yakupov, N.M. (1984). Ob odnom metode rascheta obolochek slozhnoj geometrii [On one method of analysis of shells of complex geometry]. Issledovaniya po Teorii Obolochek. Trudy seminara. Kazan': KFTI KFAN SSSR, Iss. 17, Part II. 4—17.
  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.
  9. Yakupov, N.M., Nurullin, R.G., Nurgaliyev, A.R., Yakupov, S.N. (2012). Maintenance of safety of water-cooling tower constructions. 19th European Conference on Fracture: Fracture Mechanics for Durability, Reliability and Safety. Kazan, Russia, 26-31 August, 2012. 211_proceeding.pdf
  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.

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