Page 23 - Modular design for machine tools

Nomenclature xxi

a: Vibration amplitude
b: Width of beam
b : Power law distribution
δ
b*: Coefficient
c: Damping coefficient
d: Diameter
f: Frequency
f*: Frictional supporting force per unit area
h: Height of beam, depth of dovetail, flange thickness
k (k , k , k ), k*: Static stiffness
g
m1
m2
l (l , l , l , l , l , l ): Length
c
p
a
yc
b
w
∆l: Equivalent contact length
m: Exponent to represent joint stiffness
n: Jointing number
n : Number of rows
i
n : Number of rollers per row
z
p: Interface pressure
q: Applied stress
q*: Heat flux
r: Radius
r : Thermal contact resistance
c
s: Sliding velocity
s : Specific damping capacity
D
t: Time
u, ∆u: Microdisplacement
u , ∆u : Microslip
s
s
v: Sliding velocity, traveling speed
x, y, z: Coordinate in relation to dimensions
x, x*, ∆x, y, z: Deflection, displacement
∆z: Thermal elongation
α: Vertical angle of pressure cone
α : Taper angle
T
α : Thermal conductance, thermal conductivity
λ
∆ : Fitting tolerance
r
δ: Deflection (joint deflection)
δ : Logarithmic damping decrement
D
ε: Machining error
ε , ε , ε : Strains
z
y
x
ζ: Coefficient to determine microslip
η: Loss factor
θ: Directional orientation angle
λ: Joint deflection
µ: Macroscopic coefficient of friction