Loss Factors of Viscoelastic Systems in Terms of Energy Concepts

TLDR: In this article, the authors re-examined the definition of loss factor in terms of energy quantities, particularly as it applies to composite viscoelastic systems, and proposed simple relations which express the loss factors of series-parallel arrays of massless VRSs.

Abstract: The definition of loss factor in terms of energy quantities is re‐examined, particularly as it applies to composite viscoelastic systems. A restatement of this definition in terms of a corresponding viscoelastic spring is used to show that this definition is extremely useful for massless (ideal viscoelastic spring) systems, but may be applied unambiguously to spring systems with a single attached mass only at resonance. Simple relations are presented which express the loss factors of series‐parallel arrays of massless viscoelastic springs in terms of properties of the individual components. Implications of these relations in damping of composite structures are discussed. (This work was supported in part by the Aeronautical Systems Division, U. S. Air Force.)