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Lattice vibrations with Rayleigh dissipation

Published online by Cambridge University Press:  17 February 2009

J. N. Boyd  and
P. N. Raychowdhury
J. N. Boyd
Affiliation:
Mathematical Sciences Department, Virginia Commonwealth University, Richmond, Virginia 23284-2014, USA.
P. N. Raychowdhury
Affiliation:
Mathematical Sciences Department, Virginia Commonwealth University, Richmond, Virginia 23284-2014, USA.
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Abstract

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We approximate a linear array of coupled harmonic oscillators as a symmetric circular array of identical masses and springs. The springs are taken to possess mass distributed along their lengths. We give a Lagrangian formulation of the problem of finding the natural frequencies of oscillation for the array. Damping terms are included by means of the Rayleigh dissipation function. A transformation to symmetry coordinates as determined by the group of rotations of the circle uncouples the equations of motion.

Type
Research Article
Information
The ANZIAM Journal , Volume 42 , Issue 2 , October 2000 , pp. 244 - 253
Copyright
Copyright © Australian Mathematical Society 2000

References

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