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Journal Neurocomputers №2 for 2014 г.
Article in number:
The neural network modeling application for the of efficient FEM schemes construction
Authors:
D.T. Chekmarev - Dr.Sc. (Phys.-Math.), Professor, Nizhny Novgorod State University. E-mail: 4ekm@mm.unn.ru
Abstract:
The article discusses the problem of adaptive numerical schemes, containing adjustable parameters, for 2D and 3D problems of continuum mechanics and structures. The possibility of applying neural network approaches to configuring scheme for a specific problem is considered. There is given the description of some problems in the elasticity and shell theory numerical modeling, which applies neural network approaches. The parameter depended FEM scheme for the 2D elasticity problem solving is considered in detail. For this scheme parameter determination the neural network modeling problem is posed and an algorithm for its solution is described.
Pages: 41-47
References

  1. Kaplun A.B., Morozov E.M., Olfer'eva M.A. ANSYS v rukax inzhenera. M. 2003.
  2. Golovanov A.I. , Tyuleneva O.N., Shigabutdinov A.F. Metod konechny'x e'lementov v statike i dinamike tonkostenny'x konstrukczij. M.: Fizmatlit. 2006.
  3. Vol'mir A.S. Nelinejnaya dinamika plastinok  i obolochek. M.: Nauka. 1972. 432 s.
  4. Vlasov V.Z. Obshhaya teoriya obolochek i ee prilozheniya v texnike. M.-L.: GIT-TL. 1949.
  5. Timoshenko S.P. Kolebaniya v inzhenernom dele. M.: Nauka. 1967.
  6. Bazhenov V.G., Chekmarev D.T. Reshenie zadach nestaczionarnoj dinamiki plastin i obolochek variaczionno-raznost-ny'm metodom. Ucheb. posobie. N. Novgorod: Izd-vo NNGU, 2000.
  7. Zienkiewich O.C., Too J., Taylor R.L. Reduced integration technique in general analysis of plates and shells // Int. J. Num. Meth. Engng. 1971. V. 3. №. 2. R. 275-290.
  8. Bazhenov V.G., Lomunov V.K., Chekmarev D.T. Chislennoe modelirovanie nelinejny'x zadach dinamiki uprugoplas-ticheskix konstrukczij // Matematicheskoe modelirovanie. 2006. T. 18. № 1. S.10-16.
  9. Rozhnov A.V. Nekotorye problemnye voprosy sistemnoy integratsii napravleniy nauchnoy deyatel'nosti v zadachakh neyrokomp'yutinga // Neyrokomp'yutery: razrabotka, primenenie. 2014. № 1. S. 3-9.
  10. Intellektualizatsiya slozhnykh sistem // Informatsionno-izmeritel'nye i upravlyayushchie sistemy. 2009. T. 7. № 3. S. 1-92.
  11. Khokhlachyev Ye.N., Rozhnov A.V., Aleshkevich A.A., Orlov G.Yu., Zaletdinov A.V. Kompleks modeley sistem fizicheskoy zashchity na osnove mnogourovnevogo opisaniya slozhnykh sistem // Neyrokomp'yutery: razrabotka, primenenie. 2009. № 12. S. 62-69.