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Lattice vibrations with Rayleigh dissipation

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Publication:2702926
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DOI10.1017/S1446181100011895zbMath0980.70015MaRDI QIDQ2702926

J. N. Boyd, P. N. Raychowdhury

Publication date: 12 March 2002

Published in: The ANZIAM Journal (Search for Journal in Brave)


zbMATH Keywords

natural frequenciesLagrangian formulationfrictional dampingRayleigh dissipation functiongroup of rotations of circlelinear array of coupled harmonic oscillatorssymmetric circular arraysymmetric coordinates


Mathematics Subject Classification ID

Forced motions in linear vibration theory (70J35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)


Related Items (1)

Using Mathematica to compute conjugacy classes



Cites Work

  • Unnamed Item
  • A group theoretic approach to generalized harmonic vibrations in a one dimensional lattice
  • Representation theory of finite Abelian groups applied to a linear diatomic crystal
  • A geometrical approach to maximizing a variance
  • A double chain of coupled circuits in analogy with mechanical lattices


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