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Thermal damping of a vibrating elastic body
Author(s) -
Chadwick P.
Publication year - 1962
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300003077
Subject(s) - thermoelastic damping , mathematics , consistency (knowledge bases) , normal mode , vibration , thermal , zener diode , mathematical analysis , classical mechanics , mechanics , physics , thermodynamics , acoustics , geometry , quantum mechanics , voltage , resistor
Summary A formal solution of the coupled linear thermoelastic equations representing oscillatory motion of an elastic body is obtained, and the decay of the normal modes of vibration examined in detail. The main results of Zener's theory of the thermal damping of a vibrating body are then derived, and somewhat amplified, and consistency with the foregoing normal mode analysis established.