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Article information
2011 , Volume 16, ¹ 1, p.94-104
Klochkov Y.V., Nikolaev A.P., Vakhnina O.V.
Variational study on the use of Lagrange multipliers in a triangular finite element shell of revolution
In this paper we present the results of studies of variable Lagrange multipliers in the algorithm for construction of stiffness matrices for the triangular discretization elements. It is shown that the most effective is the algorithm based on the application of corrective Lagrange multipliers in the midpoints of the sides of a triangular finite element compared to ones that use numerical integration of the given multipliers using sides of à triangular discretization element. Examples of calculation for a cylindrical shell are presented that confirm high efficiency of the developed technique in comparison with the standard finite element procedure for à triangular element of discretization
[full text]
Keywords: shell of rotation, finite element, method, triangle element, matrix features, Lagrangian coefficients, element of discretization
Author(s):
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: 9436-3693Nikolaev 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
Vakhnina Olga Vladimirovna
PhD. , Associate Professor
Position: Associate Professor
Office: Volgograd State Agricultural University
Address: 400002, Russia, Volgograd, Universitetsky Ave., 26
Phone Office: (8442) 41-13 -24
E-mail: ovahnina@bk.ru
SPIN-code: 3593-0159
Bibliography link:
Klochkov Y.V., Nikolaev A.P., Vakhnina O.V. Variational study on the use of Lagrange multipliers in a triangular finite element shell of revolution // Computational technologies. 2011. V. 16. ¹ 1. P. 94-104
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