Skip to Main content Skip to Navigation
Journal articles

Coefficient of restitution interpreted as damping in vibroimpact

Abstract : During impact the relative motion of two bodies is often taken to be simply represented as half of a damped sine wave, according to the Kelvin-Voigt model. This is shown to be logically untenable, for it indicates that the bodies must exert tension on one another just before separating. Furthermore, it denotes that the damping energy loss is proportional to the square of the impacting velocity, instead of to its cube, as can be deduced from Goldsmith's work. A damping term $\lambda x^n \dot{x} $ is here introduced; for a sphere impacting a plate Hertz gives $n = 3/2$. The Kelvin-Voigt model is shown to be approximated as a special case deducible from this law, and applicable when impacts are absent. Physical experiments have confirmed this postulate.
Document type :
Journal articles
Complete list of metadatas

Cited literature [2 references]  Display  Hide  Download
Contributor : Mathias Legrand <>
Submitted on : Sunday, June 19, 2016 - 4:11:59 PM
Last modification on : Tuesday, August 6, 2019 - 11:38:50 AM
Long-term archiving on: : Tuesday, September 20, 2016 - 1:56:24 PM


Files produced by the author(s)



Kenneth Hunt, Erskine Crossley. Coefficient of restitution interpreted as damping in vibroimpact. Journal of Applied Mechanics, American Society of Mechanical Engineers, 1975, ⟨10.1115/1.3423596⟩. ⟨hal-01333795⟩



Record views


Files downloads