| Issue |
MATEC Web Conf.
Volume 196, 2018
XXVII R-S-P Seminar, Theoretical Foundation of Civil Engineering (27RSP) (TFoCE 2018)
|
|
|---|---|---|
| Article Number | 01011 | |
| Number of page(s) | 6 | |
| Section | Structural Mechanics | |
| DOI | https://doi.org/10.1051/matecconf/201819601011 | |
| Published online | 03 September 2018 | |
Combined Semianalytical and Numerical Static Plate Analysis. Part 2: Resultant Multipoint Boundary Problem
1
Moscow State University of Civil Engineering,
Yaroslavskoe Shosse, 26,
Moscow,
129337,
Russia
2
Russian Academy of Architecture and Construction Sciences ;
24-1 ul. Bolshaya Dmitrovka,
Moscow,
107031,
Russia
*
Corresponding author: pavel.akimov@gmail.com
The distinctive paper is devoted to solution of multipoint boundary problem of plate analysis (Kirchhoff model) based on combined application of finite element method (FEM) and discrete-continual finite element method (DCFEM). As is known the Kirchhoff-Love theory of plates is a two-dimensional mathematical model that is normally used to determine the stresses and deformations in thin plates subjected to forces and moments. The given domain, occupied by considering structure, is embordered by extended one. The field of application of DCFEM comprises fragments of structure (subdomains) with regular (constant or piecewise constant) physical and geometrical parameters in some dimension (“basic” dimension). DCFEM presupposes finite element mesh approximation for non-basic dimension of extended domain while in the basic dimension problem remains continual. FEM is used for approximation of all other subdomains (it is convenient to solve plate bending problems in terms of displacements). Coupled multilevel approximation model for extended domain and resultant multipoint boundary problem are constructed. Brief information about software systems and verification samples are presented as well.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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