Blended Learning on Mathematical Analysis in Nomotex Digital Learning System

Abstract

The paper discusses the methodology and technology of teaching the discipline «Mathematical Analysis» using the new Digital Learning System Nomotex (the Nomotex DLS), developed at the Department of «Computational Mathematics and Mathematical Physics» Bauman Moscow State Technical University (BMSTU). A new conceptual model for conducting lectures and practical classes in blended learning is presented. Examples of interactive computer visualization of some mathematical concepts within the discipline «Mathematical analysis» are presented.

Finite element modeling of thin-walled shell composite structures

“…Methods of two-dimensional theories of plates and shells are often used to calculate engineering thin-walled structures [1][2][3][4][5][6][7][8][9][10][11][12][13][14], which allow to reduce the dimension of the problems from 3D to 2D problems, which, require significantly lower characteristics for the computer technology used. However, when solving problems in the theory of thin-walled plates and shells, additional difficulties arise, in particular, the problem of the accuracy of approximating the solution of the problem in terms of the thickness of the shell [5], the influence of the finite element type on the solution, as well as the problem of correct conjugation of the solution in the junction zone of various shell structural elements In this paper, a numerical algorithm for solving the problem of elasticity theory for shell composite structures, including complex structures, is proposed.…”