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


SAMAT NUKHOVICH YAKUPOV

Principal contact for editorial correspondence.
tamas_86@mail.ru
IME, Kazan Science Center, Russian Academy of Sciences 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

nrg@mail.ru
IME, Kazan Science Center, Russian Academy of Sciences 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

yzsrr@kfti.knc.ru
IME, Kazan Science Center, Russian Academy of Sciences 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

  • 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.
  • Krivoshapko, S.N., Ivanov, V.N. (2015). Encyclopedia of Analytical Surfaces. Springer International Publishing Switzerland. 752 p.
  • 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.
  • Montemor, M.F. (2014). Functional and smart coatings for corrosion protection: A review of recent advances. Surface & Coatings Technology, 258. 17—37.
  • Yakupov, S.N., Yakupov, N.M. (2017). Thin-layer films and coatings. Journal of Physics: Conference series 857 012056.
  • 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.
  • 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.
  • 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.
  • 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
  • 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.
  • 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.
  • 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.

Views

Abstract - 65

PDF (Russian) - 41


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

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.