The procedures for constructing the curvilinear Lagrangian double-grid finite elements (DGFE) and complex multigrid finite elements (MGFE) in the local Cartesian systems to calculate the elastic composite cylindrical panels and shells are offered. The calculations of the fibrous structure panels demonstrate that the maximum equivalent tension and displacement of the basic and double-grid (multigrid) discrete panel models differ by 1-8 %. The implementation of the finite element method for two- and multigrid discrete models of panels requires 10 3 ÷ 10 4 times less of the computer's memory and 10 2 ÷10 3 times less of temporal costs than for the basic model.
composites, elasticity, cylindrical shells and panels, complex multigrid and double-grid Lagrangian curvilinear elements
1. Matveev A.D. Nekotorye podhody proektirovaniya uprugih mnogosetochnyh konechnyh elementov / Institut vychislitel'nogo modelirovaniya SO RAN. - Krasnoyarsk, 2000. - 30 s. - Dep. v VINITI №2990-V00.
2. Matveev A.D. Mnogosetochnoe modelirovanie kompozitov neregulyarnoy struktury s malym koefficientom napolneniya // PMTF. - 2004. - № 3. - S. 161-171.
3. Matveev A.D. Postroenie slozhnyh mnogosetochnyh elementov s neodnorodnoy i mikroneodnorodnoy strukturoy // Izvestiya AltGU. Ser. Matematika i mehanika. - 2014. - 1/1. - S. 80-83.
4. Matveev A.D., Grishanov A.N. Dvuhsetochnoe modelirovanie cilindricheskih obolochek i paneley peremennoy tolschiny // Vestnik KrasGAU. - 2014. - № 4. - S. 90-97.
5. Matveev A.D., Grishanov A.N. Odno- i dvuhsetochnye krivolineynye elementy trehmernyh cilindricheskih paneley i obolochek // Izvestiya AltGU. Ser. Matematika i mehanika. - 2014. - 1/1. - S. 84-89.
6. Norri D., de Friz Zh. Vvedenie v metod konechnyh elementov. - M.: Mir, 1981. - 304 s.
7. Zenkevich O. Metod konechnyh elementov v tehnike. - M.: Mir, 1975. - 541 s.
