Erratum: “Scaling Laws for Ultra-Short Hydrostatic Gas Journal Bearings” [Journal of Vibration and Acoustics, 2005, 127(3), pp. 254–261]

1
The exponents of the clearance to radius term $(C ∕ R)$ in the scaling law for damping ratio $ζ$ in Eqs. 19,20 were inadvertently switched between these two equations. Equations 19,20 should read:
$ζ \propto {(\frac{C}{R})}^{- 3} {(\frac{Δ p}{p_{o}})}^{- 1 ∕ 2} {(\frac{ρ_{o}}{ρ_{d}})}^{- 1 ∕ 2} \frac{\sqrt{Λ {Re}_{C}} μ L^{2}}{ρ_{d} C^{3} (Ω R)}$
19
and
$ζ \propto {(\frac{L}{D})}^{2} {(\frac{C}{R})}^{- 1} {(\frac{Δ p}{p_{o}})}^{- 1 ∕ 2} {(\frac{ρ_{o}}{ρ_{d}})}^{1 ∕ 2} Λ^{1 ∕ 2} {Re}_{C}^{- 1 ∕ 2} .$
20
2
This correction also pertains to Table 1, where the second term in the last row, with the damping ratio $ζ$ ⁠, should read $- 1$ as shown below.
3
Consistently, the second sentence of the fifth paragraph on p. 259, in the section “Design Implications,” should read: “Since the damping ratio $ζ$ scales with ${(L ∕ D)}^{2}$ ⁠, ${(C ∕ R)}^{- 1}$ ⁠, and …”.

Table 1

Scaling laws for ultra-short hydrostatic gas journal bearings

	$(\frac{L}{D})$	$(\frac{C}{R})$	$(\frac{Δ p}{p_{o}})$	$(\frac{ρ_{o}}{ρ_{d}})$	$Λ$	${Re}_{C}$
$ζ$	$2$	$- 1$	$- 1 ∕ 2$	$1 ∕ 2$	$1 ∕ 2$	$- 1 ∕ 2$

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by American Society of Mechanical Engineers