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Table 2 Parameters for the employed silicon cantilevers immersed in water

From: Influence of squeeze-film damping on higher-mode microcantilever vibrations in liquid

Cantilever properties

L

Length

250 μm

b

Width

35 μm

h

Thickness

2 μm

ρ c

Mass density

2330 kg · m−3

μ c

Mass per unit length

0.163 mg · m−1

E

Young’s modulus

169 GPa

I

Area moment of inertia

23.3 μm4

Q n

Quality factor of mode n

 

f n

Eigenfrequency of mode n

Hz

f n,vac

Vacuum frequency of mode n

Hz

a m

Added mass coefficient

 

c

Damping per unit length

Pa · s

Fluid properties

ρ f

Mass density

998.25 kg · m−3

η f

Viscosity

1.005 mPa · s

Gap properties

g

Gap

m

H = g/b

Normalized gap