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Journal Articles Journal of Applied Mechanics Year : 1975

## Coefficient of restitution interpreted as damping in vibroimpact

Kenneth Hunt
• Function : Author
Erskine Crossley
• Function : Author

#### 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.

#### Domains

Engineering Sciences [physics]
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### Dates and versions

hal-01333795 , version 1 (19-06-2016)

### Identifiers

• HAL Id : hal-01333795 , version 1
• DOI :

### Cite

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

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