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Journal of Mining Science, Vol. 44, No. 3, 2008 GEOMECHANICS
 

Summary: 225
Journal of Mining Science, Vol. 44, No. 3, 2008
GEOMECHANICS
EFFECT OF VISCOSITY OF PARTINGS IN BLOCK-HIERARCHICAL MEDIA
ON PROPAGATION OF LOW-FREQUENCY PENDULUM WAVES
N. I. Aleksandrova, E. N. Sher, and A. G. Chernikov UDC 539.375
The study focuses on the pendulum-type wave propagation in an assembly of steel rods parted alternatively
by rubber and foam plastic and exposed to impulse loading. The proposed numerical model describes this
system as a chain of masses linked by elastic springs and viscous damping elements. At large times from the
loading onset, the asymptotical estimates of velocities and accelerations of the masses are obtained. The
numerical calculations, analytical solutions and experimental data are compared, and the domain of
applicability of the analytical evaluations is delimited. The authors show that this model adequately describes
perturbations in the system of rods with alternating visco-elastic partings.
Impact, block hierarchical medium, seismic waves, pendulum-type waves, partings, elasticity, viscosity
The contemporary geomechanical and geophysical sciences describe deformation of a rock mass as
of a complex hierarchy of block structures. As per this concept, a rock mass is a system of various scale
blocks embodied into one another [1, 2]. Inter-block layers are usually composed of weaker and
fissured rocks, and, based on that, deformation of a block rock mass, both statically and dynamically,
occurs due to deformation of these partings.
The theoretical and experimental studies into the waveguide properties of one-dimensional block

  

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

 

Collections: Mathematics