DOI: 10.5937/jaes18-24130
This is an open access article distributed under the CC BY-NC-ND 4.0 terms and conditions.
Volume 18 article 666 pages: 110 - 113
A modification of the method is presented, which allows one to analyze a thin shell calculation by specifying the geometry only in the Cartesian coordinate system. A variational method is presented for determining the stress-strain state of three-dimensional elastic structures based on the use of approximating functions with finite carriers of an arbitrary degree of approximation. The presented method can be successfully used both for the calculation of three-dimensional composite structures and for the calculation of thin shells using curvilinear coordinate systems, a comparison between the modeling of equation programming with the Ansys software gives a good indication for corrections of the method modification.
1. Khayrullin F.S., Sakhbiev O.M. The calculation of orthotropic structures by the variational method based on three-dimensional functions with finite carriers // Bulletin of the Perm National Research Polytechnic University. Mechanics. - 2017. No. 2 - S. 195-207.
2. Khayrullin F.S., Sakhbiev O.M. On the method of calculating three-dimensional structures of complex shape // Bulletin of Kazan Technological University, 2014, v.17, No. 23, S.328-330.
3. Sakhbiev O.M., Khayrullin F.S. Modeling of deformations of thin shells based on three-dimensional functions with finite carriers // Scientific progress - creativity of young people: Materials of the XII international youth scientific conference on natural sciences and technical disciplines. Part. 1. - Yoshkar-Ola. PSTU, 2017 - S. 127-129.
4. Novozhilov V.V. Theory of elasticity. — L .: Sudpromgiz, 1958, 371 p.
5. Abovsky N. P., Andreev N. P., Deruga A. P. Variational principles of the theory of elasticity and theory of shells. - M .: Nauka, 1978.- 288 p
6. Gureeva N.A. Hybrid finite element of loaded bodies. Izv. universities. North Cav. region. Ser. Technical science. - No. 1. - 2007. - p. 31-33.
7. Timoshenko SP, Voinovsky-Krieger S. Plates and shells. - M .: Nauka, 1966 .-- 636 p.
8. Ashwell D. G., Sabir A. B. A new cylindrical shell finite elements based on simple independent strain function // International Journal of Mechanical Sciences. - 1972. - V. 14. - No. 3. - P. 171 - 183.
9. Dawe D. J. High-order triangular finite element for shells analysis // International Journal of Solids and Structures. - 1975. - V. 11 - No. 10. - P. 1097 - 1110