MATHEMATICAL MODELING OF ELASTIC OSCILLATION PERCUSSION INSTRUMENT
Section: CONTENT
Authors:
1.
FGOBU VO «Finansovyy Universitet pri Pravitel'stve Rossiyskoy Federacii», Vladikavkazskiy filial
(professor)
Type:
Сonference article
Language:
Russian, English
Keywords:
initial-boundary value problem, the longitudinal shocks, initial conditions, boundary conditions
Abstract (English):
The paper formulated and solved the initial-boundary value problem for the longitudinal vibrations of a prismatic rod under repetitive high-frequency longitudinal impacts. It is believed that one end of the rod is fixed, while the other experiences collision with an elastic prismatic rod with a given speed. It is believed that at the time of the collision terminals in contact in parallel planes. In the end, the formulae are derived to calculate on the computer the displacement and tension in the rods.
The paper formulated and solved the initial-boundary value problem for the longitudinal vibrations of a prismatic rod under repetitive high-frequency longitudinal impacts. It is believed that one end of the rod is fixed, while the other experiences collision with an elastic prismatic rod with a given speed. It is believed that at the time of the collision terminals in contact in parallel planes. In the end, the formulae are derived to calculate on the computer the displacement and tension in the rods.
Keywords:
initial-boundary value problem, the longitudinal shocks, initial conditions, boundary conditions
initial-boundary value problem, the longitudinal shocks, initial conditions, boundary conditions
1. Timoshenko S. P. Kolebaniya v inzhenernom dele. - M.: Izd-vo Fiziko-matematicheskoy literatury, 1959 - 439 s.
2. Panovko Ya. P. Gubanova II.II. Ustoychivost' i kolebaniya uprugih sistem. - M.: Nauka. 1987. - 352 s.
