3.3.1 Calculations
of axial vibration natural frequency are to be carried out using appropriate
techniques, taking into account the effects of flexibility of the
thrust bearing, for shaft systems where the propeller is:
-
Driven directly by a reciprocating internal
combustion engine.
-
Driven via gears, or directly by an electric
motor, and where the total length of shaft between propeller and thrust
bearing is in excess of 60 times the intermediate shaft diameter.
3.3.2 Where an
axial vibration damper is fitted, the calculations are to consider
the effect of a malfunction of the damper.
3.3.3 For those
systems as defined in Pt 5, Ch 6, 3.3 Calculations 3.3.1,
the propeller speed at which the critical frequency occurs may be
estimated using the following formula:
|
n
c
|
= |
|
where
|
a
|
= |
(66,2 + 97,5A – 8,88A
2)2 (c/min)2
|
|
b
|
= |
91,2 (c/min)2
|
|
d
|
= |
internal
diameter of shaft, in mm |
|
k
|
= |
estimated
stiffness at thrust block bearing, in N/m |
|
l
|
= |
length
of shaft line between propeller and thrust bearing, in mm |
|
m
|
= |
mass
of shaft line considered, in kg |
|
|
= |
0,785 (D
2 – d
2) Gl
|
|
n
c
|
= |
propeller speed at which critical frequency occurs, in rev/min |
|
A
|
= |
|
|
D
|
= |
outside
diameter of shaft, taken as an average over length, l,
in mm
|
|
E
|
= |
modulus
of elasticity of shaft material, in N/mm2
|
|
G
|
= |
density
of shaft material, in kg/mm3
|
|
M
|
= |
dry
mass of propeller, in kg |
|
M
e
|
= |
M (A + 2)
|
|
N
|
= |
number
of propeller blades |
Where the results of this method indicate the possibility of
an axial vibration resonance in the vicinity of service speed, calculations
using a more accurate method will be required.