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Journal of Mining Science, Vol. 42, No. 5, 2006 ROCK FAILURE
 

Summary: 468
Journal of Mining Science, Vol. 42, No. 5, 2006
ROCK FAILURE
ON ATTENUATION OF PENDULUM-TYPE WAVES
IN A BLOCK ROCK MASS
N. I. Aleksandrova, A. G. Chernikov, and E. N. Sher UDC 539.375
The data on experimental and theoretical studies of pendulum wave propagation in a system of steel bars
separated by rubber interlayers are reported. The one-dimensional mathematical model, describing the
given system as a chain of masses jointed by elastic springs and viscous dampers, is proposed. Numerical
calculations are made, and approximate analytical estimates are obtained for attenuation rate of maximum
velocities and accelerations of the masses under impact loading of the test system. It is proved that the
model adequately describes the disturbance behavior in the system of bars with rubber interlayers.
Impact, block medium, pendulum-type waves, interlayers, elasticity, viscosity
When one-dimensional waves generated by impact loading propagate in a block medium, weakly-
attenuating, low-frequency waves of a pendulum type arise [1 5]. The impact loading tests of systems
composed of few blocks (19 20 in number), separated by rubber interlayers showed that a wave
attenuation rate is mainly determined by damping properties of interlayers [6, 7]. The determination of
their attenuation regularities is of practical value. The simultaneous employment of two joint variants
for viscous and elastic elements, parallel and successive, is proposed to describe the behavior of
interlayers between bars [6]. Below only parallel connection is used in the mathematical model. The

  

Source: Alexandrov, Victor - Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk

 

Collections: Mathematics