The nonlinear mathematical model of the impulse pile driver
Čelâbinskij fiziko-matematičeskij žurnal, Tome 6 (2021) no. 1, pp. 34-41
Voir la notice de l'article provenant de la source Math-Net.Ru
A mathematical model of the operation of a pile-driving
vibration loader, which is based on the impact on the submerged element in the form
of a Maxwell — Feyer pulse, is described. This pulse has a number of properties, the main of which
is optimality in the sense of the asymmetry coefficient. The solvability of the
resulting model, which is a nonlinear differential equation of the second order, is
investigated. The representation of the solution corresponds to the well-known
principle of dividing into the sum of slow and fast movements. We write out
eigenfunctions, on the basis of which we can construct approximate solutions using
the Galerkin approximations. This algorithm allows us to conduct numerical
experiments to determine the optimal parameters and characteristics of the devices
under study.
Keywords:
mathematical modeling, Galerkin method, pile-driving vibration loader, impulse driver, asymmetry coefficient.
@article{CHFMJ_2021_6_1_a3,
author = {D. V. Kostin and T. I. Kostina and A. V. Zhurba and A. S. Myznikov},
title = {The nonlinear mathematical model of the impulse pile driver},
journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
pages = {34--41},
publisher = {mathdoc},
volume = {6},
number = {1},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CHFMJ_2021_6_1_a3/}
}
TY - JOUR AU - D. V. Kostin AU - T. I. Kostina AU - A. V. Zhurba AU - A. S. Myznikov TI - The nonlinear mathematical model of the impulse pile driver JO - Čelâbinskij fiziko-matematičeskij žurnal PY - 2021 SP - 34 EP - 41 VL - 6 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CHFMJ_2021_6_1_a3/ LA - ru ID - CHFMJ_2021_6_1_a3 ER -
%0 Journal Article %A D. V. Kostin %A T. I. Kostina %A A. V. Zhurba %A A. S. Myznikov %T The nonlinear mathematical model of the impulse pile driver %J Čelâbinskij fiziko-matematičeskij žurnal %D 2021 %P 34-41 %V 6 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/CHFMJ_2021_6_1_a3/ %G ru %F CHFMJ_2021_6_1_a3
D. V. Kostin; T. I. Kostina; A. V. Zhurba; A. S. Myznikov. The nonlinear mathematical model of the impulse pile driver. Čelâbinskij fiziko-matematičeskij žurnal, Tome 6 (2021) no. 1, pp. 34-41. http://geodesic.mathdoc.fr/item/CHFMJ_2021_6_1_a3/