|
Output circuit of difference relationships on the base of Lagrange variation principle
V. I. Mezhuyev, V. V. Lavrik Berdyansk State Pedagogical University, Berdyansk, Ukraine
Abstract:
The analyses of the numerical methods of calculation of mechanics problems, based on the variation principle of Lagrange, such as the Finite Element Method (FEM) and the method of Moment Schema Finite Elements (MSFE), is given in the paper. The general formula to find the stiffness matrix of finite elements for MSFE is developed. The model of calculation of the energy functional of rectangular three-dimensional finite element, based on the variation of the problem statement, is developed.
Keywords:
finite element method, method of moment schema finite elements, variation, stiffness matrix, finite element.
Received: 19.02.2013
Citation:
V. I. Mezhuyev, V. V. Lavrik, “Output circuit of difference relationships on the base of Lagrange variation principle”, Mat. Model., 26:12 (2014), 127–136
Linking options:
https://www.mathnet.ru/eng/mm3559 https://www.mathnet.ru/eng/mm/v26/i12/p127
|
Statistics & downloads: |
Abstract page: | 351 | Full-text PDF : | 144 | References: | 62 | First page: | 22 |
|