Article information

2008 , Volume 13, ¹ 4, p.51-59

Gureeva N.A., Klochkov Y.V., Nikolaev A.P.

Calculation of a shell of rotation under an arbitrary load using a variational principle based on the Reysner functional

An eight nodal volumetric finite element with nodal displacement and stress as unknown parameters is developed for calculation of an arbitrary loaded shell of rotation. Approximations for stress and displacement were constructed using three linear relations. The modified stiffness matrix is obtained with the help of a variational principle based on the Reysner functional. We present an example, which shows that the proposed finite element method has a good potential for calculations of plates and shells of any thickness.

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Author(s):
Gureeva Natalia Anatolievna
PhD.
Position: Senior Fellow
Office: Volgograd State Agricultural Academy
Address: 400120, Russia, Volgograd
Phone Office: (8442) 41 40 64
E-mail: vladisla@vlink.ru

Klochkov Yuriy Vasilievich
Dr. , Professor
Position: Head of Chair
Office: Volgograd State Agricultural University
Address: 400002, Russia, Volgograd, Universitetsky Ave., 26
Phone Office: (8442) 41-13 -24
E-mail: Klotchkov@bk.ru
SPIN-code: 9436-3693

Nikolaev Anatoly Petrovich
Dr. , Professor
Position: Head of Chair
Office: Volgograd State Agricultural Academy
Address: 400002, Russia, Volgograd, Universitetsky Ave., 26
Phone Office: (8442) 41 98 29


Bibliography link:
Gureeva N.A., Klochkov Y.V., Nikolaev A.P. Calculation of a shell of rotation under an arbitrary load using a variational principle based on the Reysner functional // Computational technologies. 2008. V. 13. ¹ 4. P. 51-59
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