Geodesic
Mathematical modeling of structural elements destruction under dynamic load
Čebyševskij sbornik, Tome 20 (2019) no. 4, pp. 408-422

Voir la notice de l'article provenant de la source Math-Net.Ru

The development of modern industry puts forward a responsible and complex task of protecting the population, service personnel and the environment from accidents. The analysis of possible deviations from normal operating conditions in these industries and a thorough study of the possible development of various emergency situations that lead to dynamic effects on structures and finding conditions for the destruction of structural elements is of paramount importance. The article proposes a mathematical method for finding the conditions of destruction of structural elements by dynamic loading. To solve dynamic problems, a variational approach is used, based on the construction of a functional for calculating the power of elastic deformation taking into account the power of inertia forces, in the context of using modern software systems based on the finite element method. As an example, the problem of computer modeling of the dynamic load located above the center of the reinforced concrete slab, which allows to determine the stress-strain state of the simplest elements of building structures of plates, is considered. All calculations were performed in ANSYSLS-DYNA environment. The results are obtained in the form of graphs of strain rates and stress fields. The obtained results are compared with the analytical solution of a similar problem presented in the work of G.T. Volodin.
Keywords: dynamic loading, functional capacity of elastic deformation, power of the forces of inertia, finite element method, stress-strain state, reinforced concrete. 
@article{CHEB_2019_20_4_a26,
     author = {G. M. Zhuravlev and V. G. Telichko and N. S. Kurien and A. E. Gvozdev and D. V. Maliy},
     title = {Mathematical modeling of structural elements destruction under dynamic load},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {408--422},
     publisher = {mathdoc},
     volume = {20},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2019_20_4_a26/}
}
TY  - JOUR
AU  - G. M. Zhuravlev
AU  - V. G. Telichko
AU  - N. S. Kurien
AU  - A. E. Gvozdev
AU  - D. V. Maliy
TI  - Mathematical modeling of structural elements destruction under dynamic load
JO  - Čebyševskij sbornik
PY  - 2019
SP  - 408
EP  - 422
VL  - 20
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHEB_2019_20_4_a26/
LA  - ru
ID  - CHEB_2019_20_4_a26
ER  - 
%0 Journal Article
%A G. M. Zhuravlev
%A V. G. Telichko
%A N. S. Kurien
%A A. E. Gvozdev
%A D. V. Maliy
%T Mathematical modeling of structural elements destruction under dynamic load
%J Čebyševskij sbornik
%D 2019
%P 408-422
%V 20
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHEB_2019_20_4_a26/
%G ru
%F CHEB_2019_20_4_a26
G. M. Zhuravlev; V. G. Telichko; N. S. Kurien; A. E. Gvozdev; D. V. Maliy. Mathematical modeling of structural elements destruction under dynamic load. Čebyševskij sbornik, Tome 20 (2019) no. 4, pp. 408-422. http://geodesic.mathdoc.fr/item/CHEB_2019_20_4_a26/