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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
The nonlinear mathematical model of the impulse pile driver
D. V. Kostinab, T. I. Kostinabc, A. V. Zhurbaa, A. S. Myznikovba a Voronezh State University, Voronezh, Russia
b oronezh State Pedagogical University, Voronezh, Russia
c Voronezh State Technical University, Voronezh, Russia
Abstract:
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.
Received: 10.11.2020 Revised: 03.02.2021
Citation:
D. V. Kostin, T. I. Kostina, A. V. Zhurba, A. S. Myznikov, “The nonlinear mathematical model of the impulse pile driver”, Chelyab. Fiz.-Mat. Zh., 6:1 (2021), 34–41
Linking options:
https://www.mathnet.ru/eng/chfmj223 https://www.mathnet.ru/eng/chfmj/v6/i1/p34
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Abstract page: | 126 | Full-text PDF : | 36 | References: | 16 |
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