
Discrete-continuous three-element model of impact device
Author(s) -
Alexander M. Slidenko,
Viktor Slidenko,
S. G. Valyukhov
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2131/3/032091
Subject(s) - dissipative system , ordinary differential equation , boundary value problem , partial differential equation , variable (mathematics) , boundary (topology) , boundary element method , mathematical analysis , mathematics , fourier series , finite element method , mechanics , differential equation , structural engineering , physics , engineering , quantum mechanics
There have been examined the mathematic model of the impact device provided for geological materials destruction. Basic elements of the impact device are variable cross-section tool, striker and impact device body. The interaction of these elements is described as a movement of two discrete mass and the rod in the presence of rigid and dissipative connections. One equation in partial derivatives and two ordinary differential equations associated by initial and boundary conditions represent the initial-boundary problem. The numerical method parameters of which are determined at tests problems solution by Fourier method is used for looking for solutions of mixed initial-boundary problem. Researches are made, and parameters determining the damping efficiency of tool, striker and impact device body oscillations are evaluated.