Proceedings Volume Cover
THE SOCIETY OF NAVAL ARCHITECTS AND MARINE ENGINEERS  
74 Trinity Place, New York, N.Y. 10006  
Paper to be presented at Propellers 75, Philadelphia, Pa., July 22-23, 1975  
Wake, Speed and Structural Dynamics  
Related to Blade Stresses  
No. 12  
R. Wereldsma, Visitor, Delft University of Technology,  
Delft, The Netherlands  
S. Hylarides, Visitor, Netherlands Ship Model Basin,  
Wageningen, The Netherlands  
@
Copyright 1975 by The Society of  
Naval Architects and Marino Engineers  
force directed in X- direction  
.
ABSTRACT  
.
shear modulus  
.
torsional stiffness of propel  
ler blade  
Propeller blade stresses are cal  
culated using the three  
unsteady lif ing surface theory and  
.
-
dimensional ,  
H(w)  
=
dynamic response of profile to  
hydrodynamic loading at re•  
duced frequency w.  
the  
t
finite element technique. Correlation  
With ful scale measurements is given  
l
.
=
second moment of area of the  
blade section.  
I
Altention is paid to the dynamic  
aspects  
circumferential  
Wake field.  
,
especiall  
y
with regard to the  
the  
torsional second moment of  
u
nsteadiness of  
area of the blade section  
torsional moment of inertia  
per unit length  
bending stiffness  
torsio al stiffness  
characteristic length  
.
=
.
A
model technique is suggested  
With regar d to blade vibrations for  
prop ller operating in water  
=
=
=
.
Kb  
n
.
a
e
.
Kt  
L
.
=
mechanical mass  
added mass  
bending moment .  
.
M
LIST OF SYMBOLS  
.
=
=
.
M
C
=:  
Mb  
Mt  
length.  
chord  
torsional moment .  
= moment along x-axis  
=:  
=:  
=:  
=:  
Cl  
i5  
co  
n stant.  
.
damping  
.
MX  
hydrodynamic  
radius  
.
R
E
elasticity  
of  
.
propeller  
of  
stiffness  
modulus  
bending  
blade.  
=
time .  
T
(EI)  
characteristic speed  
speed of the profile.  
cartesian coordinate system  
.
V
=
=
or  
F
Va  
X,Y,Z  
=:  
(hydrodynamical  
force  
.
mechanical)  
12-1