scholarly journals On solution of initial-boundary problem, connected with longitudinal impact of elastic-viscous rod

1987 ◽  
pp. 112
Author(s):  
S.S. Kritskaia ◽  
D.I. Rogach
Keyword(s):  
Linear Equation ◽  
Boundary Problem ◽  
Finite Length ◽  
Fourier Method ◽  
Initial Boundary ◽  
Longitudinal Impact ◽  
Initial Boundary Problem ◽  
Rod Of Finite Length

We conduct the solution, by Fourier method, of the problem about longitudinal oscillations caused by impact to one end of elastic-viscous rod of finite length with variable lateral section in the case when the condition of fixation of another end of the rod is represented by linear equation in displacement and deformation.

scholarly journals Discrete-continuous three-element model of impact device

2021 ◽  
Vol 2131 (3) ◽  
pp. 032091
Author(s):  
A M Slidenko ◽  
V M Slidenko ◽  
S G Valyukhov
Keyword(s):  
Boundary Problem ◽  
Fourier Method ◽  
Mathematic Model ◽  
Initial Boundary ◽  
Element Model ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Initial Boundary Problem ◽  
Impact Device ◽  
The Impact

Abstract 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.

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