Abstract
This paper considers the high frequency dynamics which links vibration theory and thermodynamics. It is shown that the high frequency dynamics is the high frequency limit of vibration theory and the low frequency limit of thermodynamics. Two approaches to the high frequency dynamics of complex engineering structures are proposed. The first one is high frequency structural analysis. Its boundary value is derived from vibration theory under the assumption that the structures which have high modal overlap possess some thermodynamic properties. The second approach is the vibrational conductivity approach to high frequency dynamics which is governed by a boundary value problem of the heat conduction type. The latter has been modified to incorporate a heat sink term so that the spatial resonant absorption of vibration is taken into account.
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