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Wave damping in a chain of massive
 

Summary: Wave damping in
a chain of massive
bodies with springs
and dampers
N. I. Alexandrova
The Institute of Mining
of the Siberian Branch
of the Russian Academy of Sciences
alex@math.nsc.ru
www.math.nsc.ru/~vaalex/nadya.html
We study the damping degree of long wave
perturbations spreading in a discrete chain of
point rigid particles of mass m. Each particle
is connected with the two neighbours by
equal linear bonds of length l and dampers.
Fig.1
The equations of the motion are as follows:
),2()2( 1111 +-+-
+-++-= nnnnnnn
uuuxuukum

  

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

 

Collections: Mathematics