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POWER OPTIMIZATION OF THE CAPTUREDAIR BUBBLE SURFACE EFFECTS SHIP
Frederick Kenneth Richardson
58*>*
assR*
NAVAL POSTGRADUATE SCHOOL
Monterey, California
THESISPOWER OPTIMIZATION OF THE CAPTUREDAIR BUBBLE SURFACE EFFECTS SHIP
by
Frederick Kenneth Richardson
December, 1976
Thesis Advisor: G. J. Thaler
Approved for public release; distribution unlimited.
117711?
IINHT.ASSTFTKnSECURITY CLASSIFICATION OF THIS RAGE f»>>«« Dmtm Entmrmd)
RE7»0*T DOCUMENTATION PAGE READ INSTRUCTIONSBEFORE COMPLETING FORM
1. REPORT NUMIIR 2. GOVT ACCESSION NO. 3. RECIPIENT'S CATALOG NUMBER
4. TITLE i«i^SuHir/i)
Power Optimization of the Captured Air BubbleSurface Effects Ship
S. TYPE OF REPORT A PERIOO COVERED
Master's ThesisDpppTTihpr 1Q7A• PERFORMING ORG. REPORT NUMBER
7. AUTMOUfi;
Frederick Kenneth Richardson
• . CONTRACT OR GRANT NLMBERfaj
* PERFORMING ORGANIZATION NAME ANO ADDRESS
Naval Postgraduate SchoolMonterey, Ca. 93940
10. PROGRAM ELEMENT. PROJECT, TASKAREA * WORK UNIT NUMBERS
II. CONTROLLING OFFICE NAME ANO AOORESS
Naval Postgraduate SchoolMonterey, Ca. 93940
12. REPORT DATE
December 197613. NUMBER OF PACES
14. MONITORING AGENCY NAME * AOORESSfl/ dIUmtmnt /ram Controllint Olllem)
Naval Postgraduate SchoolMonterey, Ca. 93940
18. SECURITY CLASS, (ol thlm rdperl)
UNCLASSIFIEDII*. OECLASSIFI CATION/ DOWN GRADING
SCHEDULE
l«. DISTRIBUTION STATEMENT (el thi* Kmpott)
Approved for public release; distribution unlimited
17. DISTRIBUTION STATEMENT (ot tho mmolrmct mntmtmd in Block 20, II dltlmtmnl from Rmporl)
18. SUPPLEMENTARY NOTES
19. KEY WORDS (Cmnttmtm on MWN »>*• II nocoatmrr and idmntlfr or mleak nummor)
Surface Effects ShipCaptured Air Bubble
20. ABSTRACT (Cmnllnum on rmrmrmm aid* It nmcmmmmrr mm* imdmOtr *T mlmmk iwtirj
Through the use of simulation studies of the Surface Effects Ship(SES) XR-3, it is shown that power optimization can be achieved by controllingthe air bubble plenum pressure and the pitch angle of the craft. Studiesindicate a savings of up to forty percent in total power required forcruising speeds in the range of fifteen to thirty knots.
DO ,
wJmTn 1473
(Page 1)
EDITION OF I NOV •• IS OBSOLETES/N 102-0 14- S601 I
UNCLASSIFIEDSECURITY CLASSIFICATION OF TNIS PAOE f9hdM Dmtm Snlmrmd}
POWER OPTIMIZATION OF THE CAPTURED AIR BOBBLE SURFACEEFFECTS SHIP
by
Frederick Kenneth RichardsonLieutenant, United States NavyB.S., Purdue University, 1968
Submitted in partial fulfillment of therequirements for the degree of
MASTER OF SCIENCE IN ELECTRICAL ENGINEERING
from the
NAVAL POSTGRADUATE SCHOOL
December, 1976
wowmmmHAVAt"
ABSTRACT
Through the use of simulation studies of the
Surface Effects Ship (SES) XR-3, it is shown that
power optimization can be achieved by controlling the
air bubble plenum pressure and the pitch angle of the
craft. Studies indicate a savings of up to forty
percent in total power required for cruising speeds in
the range of fifteen to thirty knots.
wm m
TABLE OF CONTENTS
I. INTRODUCTION 9
A. BACKGROUND 9
B. OBJECTIVES 11
II. GENERAL DISCUSSION 12
A. INTRODUCTION 12
B. SIMULATION METHODS 13
III. CALM WATER STUDIES 16
A. OBJECTIVES 16
B. SIMULATION PERFORMANCE 16
C. EXPERIMENTAL VERIFICATION TESTS 26
IV. SEA STATE STUDIES 52
A. OBJECTIVES 52
B. SIMULATION PERFORMANCE 52
V. RESULTS „ « 57
VI. CONCLUSIONS 61
A. SUMMATION 61
B. METHOD OF CONTROL 62
VII. OPERATIONAL CONSIDERATIONS 65
VIII. RECOMMENDATIONS 70
Appendix A: SIMULATION DATA LISTING 71
LIST OF REFERENCES 109
INITIAL DISTRIBUTION LIST 110
LIST OF FIGURES
1. Total Power vs Pitch Angle, 15.0 knots , 18
2. Total Power vs Pitch Angle, 15.0 knots 19
3. Total Power vs Pitch Angle, 18.0 knots 20
4. Total Power vs Pitch Angle, 22.0 knots 21
5. Total Power vs Pitch Angle, 25.0 knots 22
6. Total Power vs Pitch Angle, 27.5 knots..* 23
7. Total Power vs Pitch Angle, 30.0 knots 24
8. Total Power vs Plenum Pressure, 0.5 Degrees 28
9. Total Power vs Plenum Pressure, 0.6 Degrees 29
10. Total Power vs Plenum Pressure, 0.7 Degrees 30
11. Total Power vs Plenum Pressure, 0.8 Degrees 31
12. Total Power vs Plenum Pressure, 0.9 Degrees 32
13. Total Power vs Plenum Pressure, 1.0 Degrees 33
14. Total Power vs Plenum Pressure, 1.1 Degrees 34
15. Total Power vs Plenum Pressure, 1.2 Degrees 35
16. Total Power vs Plenum Pressure, 1.3 Degrees 36
17. Total Power vs Plenum Pressure, 1.4 Degrees 37
18. Total Power vs Plenum Pressure, 1.5 Degrees 38
19. Total Power vs Plenum Pressure, 1.6 Degrees 39
20. Total Power vs Plenum Pressure, 1.7 Degrees 40
21. Total Power vs Plenum Pressure, 1.8 Degrees 41
22. Total Power vs Plenum Pressure, 1.9 Degrees 42
23. Total Power vs Plenum Pressure, 2.0 Degrees 43
24. Total Power vs Plenum Pressure, 2.1 Degrees 44
25. Total Power vs Plenum Pressure, 2.2 Degrees 45
26. Total Power vs Plenum Pressure, 2.3 Degrees 46
27. Total Power vs Plenum Pressure, 2.4 Degrees 47
28. Total Power vs Plenum Pressure, 2.5 Degrees 48
29. Total Power vs Pitch Angle, Natural Response 49
30. Total Power vs Pitch Angle, Natural Response 50
31. Total Power vs Pitch Angle, Actual Craft 51
32. Total Power vs Pitch Angle, 18 Knots, Sea State 53
33. Total Power vs Pitch Angle, 27.5 Knots, Sea State... 54
34. Sketch of Bubble Pressure vs Pitch Angle 59
35. Bubble Pressure vs Pitch Angle, 15 Knots 60
36. Total Power vs Pitch Angle, 30 Knots.... 64
37. Recommended Operating Profile 68
38. Recommended Operating Profile, 15 Knots 69
ACKNOWLEDGEMENTS
Only those who have undertaken a project such as this
can fully appreciate the influence that others have on its
successful completion. With this in mind, the author wishes
to first express his most sincere appreciation to Professors
George J. Thaler and Alex Gerba, Jr. of the Naval
Postgraduate School. Their knowledge, dedication and
patience provided the guiding light by which the author
traveled
.
A great deal of the author f s time and effort was
spent in the computer center. Without the continuous
assistance of all the operators, a study like this could not
have been completed. A special "thank you" to E. V.
Donnellan (Ed) , M. Anderson (Andy) and K. Butler (Kris) of
the evening shift whose personal interest in each student's
needs was combined with friendly banter and a job always
well done.
To his wife, Nancy, and his children, Hicky, Sally,
Jimmy and Blake, the author expresses his gratitude but his
apologies for his long periods of absence and concern with
thesis matters when he was home. Without their long
suffering devotion, the educational goals of their husband
and father would not have been realized and this thesis
written.
INTRODUCTION
A. BACKGROUND
The conventional displacement vessel exhibits a well
known and documented speed limitation caused by drag
characteristics of the hull-water interface. In an effort
to effect a great increase in surface vessel speed, a
program has been initiated by the United States Navy to
develop various craft whose principal means of support is
other than hydrostatic lift.
One such type of craft currently receiving attention is
the Surface Effect Ship (SES) . There are basically two
types of ships in this category, the Air Cushion Vehicles,
or hovercraft, and the Captured Air Bubble (CAB) craft. The
general nature of these craft and their construction is well
presented by Robert L. Trillo in Reference 1. Either all or
a major portion of the craft support is obtained from a
pressure differential between the atmosphere and a plenum
chamber which is open at the bottom. The great speed
advantages of the SES are from two principal
characteristics: (1) energy is not wasted by displacing a
large volume of water, and (2) the frictional forces at the
hull-water interface are greatly reduced by keeping the
structure actually in water contact to a minumum.
Surface Effects Ships are generally categorized as "Air
Cushion Vehicles" whose weight is entirely supported by the
pressure differential in the plenum chamber or "Captured Air
Bubble Craft" whose weight is partially supported by a
sidewall structure which extends into the water. For United
States Navy applications, the Captured Air Bubble (CAB)
craft is being researched.
The term Captured Air Bubble is slightly misleading
since the plenum chamber air does leak out and thus must be
continuously replenished by supply fans. When compared to
the air cushion vehicle, however, this leakage rate is
relatively small. The Air Cushion Vehicle has a continuous
gap around its entire periphery, whereas the Captured Air
Bubble craft has leakage only from the stern seal, thus the
plenum chamber supply fans of the Air Cushion Vehicle must
be much larger and more powerful than those of the CAB of
similar size.
This thesis is concerned with simulation studies of the
Captured Air Bubble craft utilizing a digital computer,
specifically the Loads and Motions Program developed by
Oceanics, Incorporated.
The basic rigid body analysis and spatial relationships
of the Loads and Motions Program are well documented in
Reference 2, and thus will not be duplicated here. The
principal static and dynamic approximations used in
developing the equations of motion for the craft in its six
degrees of freedom are also covered.
The Loads and Motions Program has been converted to
represent the Naval Postgraduate School's SES test craft,
the XR-^3. All simulation studies for this thesis were
accomplished utilizing the XR-3 Loads and Motions simulation
program.
10
OBJECTIVES
The purpose of this thesis is to take a detailed look
into the aspects of power minimization at various cruising
speeds in both calm water and sea state conditions. Pitch
angle was utilized to reduce hull drag effects and introduce
planing action, while lift fan speed was varied to control
the air cushion bubble pressure, and thus the draft of the
craft. The results are presented in both tabular and
graphical form. The results are also shown in the form of
recommended operating profiles.
11
II. GENERAL DISCUSSION
A. INTRODUCTION
Previous studies indicate that significant performance
benefits can be obtained by controlling the pressure of the
air bubble which supports the craft. It is clear that low
bubble pressures would require large thrust values to
maintain a given speed primarily because of the greater
wetted surface at the hull-water interface causing increased
drag forces. If the bubble pressure is increased, the draft
decreases and it is expected that the thrust required to
maintain that speed to decrease, but at the same time the
fan power required to support the craft will increase.
Intuitively, one expects that the total power (Thrust Power
Fan Power) will reach a minumum at some operating point.
It is the purpose of this thesis to investigate and
determine that operating point.
Additionally, it is found that the thrust power required
varied as a function of the pitch angle of the craft. One
might now ask the following questions:
1. Is there a global minimum to be found?
2. Does a change in fan power have a significant effect on
total power?
3. Is the pitch angle a significant factor in controlling
thrust power?
12
All studies were initially conducted for calm water
conditions^ Six different speeds in the cruising range of
fifteen to thirty knots were studied extensively. Nine
plenum bubble pressures were utilized at each speed to
obtain a family of curves for analysis. After the calm
water simulations were complete, the XR-3 craft was operated
in calm water to verify the trends found in the computer
simulation. Additionally, two speeds were chosen, eighteen
and twenty-seven knots, for sea state simulation studies.
Three plenum pressures were utilized to check for
correlation between calm water and sea state operation and
to generate a set of curves for comparison.
B. SIMULATION METHODS
Simulation was achieved by utilizing the existing six
degree of freedom simulation model program for the 100-B
surface effects ship as modified for the XR-3 craft. This
program has undergone exhaustive analysis at the Naval
Postgraduate School to determine its accuracy in predicting
craft behavior and it is felt to be adeguate for this study
(References 3, 4 and 5) . The basic program was modified
slightly to obtain the output of data necessary for the
completion of this study. The constant input parameters
were also changed to reflect recent modifications to the
craft seals and appendages.
The actual weight distribution of the XR-3 craft is not
presently known exactly, so an approximation was determined
by an iterative method. By a simulation program, several
masses were moved about the craft until the same magnitude
of moments about the X, I and Z axes were obtained as had
been utilized in previous studies of the craft. This was
initially accomplished with the craft at the present loaded
13
weight of 5900 pounds.
Two additional masses totaling one thousand pounds were
added along the centerline, one fore and one aft of the
center of gravity. These masses constituted the control to
attain a spectrum of pitch angles to be utilized in the
simulation study. This is essentially equivalent to the
method used when verifying the simulation results on the
actual craft test runs. Ballast was shifted (in the form of
warm bodies) to obtain the spectrum of pitch angles for
verification of simulation results.
The bubble pressure in the XR-3 cannot be easily
controlled, indeed it cannot be controlled at all. The
plenum pressure can be reduced slightly by securing one or
more lift supply engines, but a significant range of plenum
pressures cannot be obtained. The lift fans operate at
maximum speed at all times and the pressure obtained is
approximately twenty-four pounds per square foot. Thus,
only the middle pressure, twenty-four pounds per square foot
could be verified. In the simulation, the bubble pressure
was varied by changing the plenum supply fan speed. By this
method, the actual power required to support the craft could
easily be calculated.
On each simulation run, the speed of the craft was held
constant and the thrust was allowed to vary to maintain the
desired speed. The thrust was then utilized to calculate
the thrust power in horsepower delivered. Additionally, for
each run at a specific speed and bubble pressure, the pitch
angle was varied by moving the masses along the longitudinal
centerline and allowing the craft to attain a steady-state
condition. The various data were then recorded for analysis
and a next set of conditions was used to initiate a
subsequent run, repeating the process.
14
In all cases, the simulation and actual craft operation
was conducted above the transition speed, that is, the speed
above which the craft acts as a Surface Effect Ship vice a
displacement type vessel.
15
III. CALM' WATER STUDIES
A. OBJECTIVES
The purpose of the calm water studies was to determine a
data base to observe the general trends of the craft.
Without sea state, the attainment of a steady-state pitch
angle and operation could easily be obtained. This data is
presented as Appendix A.
At each speed a family of curves was developed, each
curve representing a new bubble pressure. Composites of all
speeds are also presented, each taken at constant pitch
angle and allowed to vary with bubble pressure. In each
case, Total Power is the dependent variable.
B. SIMULATION PERFORMANCE
As can be seen in Figures 1 through 7, the total power
(Thrust Power + Fan Power) reaches a minimum, or approaches
a minimum, at each bubble pressure. The change in total
power is relatively small at the lower cruising speed of
fifteen knots, but is drastically reduced at the higher
cruising speed of thirty knots.
In Figures 1 through 7, the ordinate is the Total Power
expressed in actual horsepower delivered and the abcissa is
Pitch Angle in degrees. At fifteen knots the curves tended
16
to overlap, therefore, for clarity, Figures 1 and 2 display
data for this speed. In some cases, also, a minimum power
could not be achieved. This is primarily at the higher
pitch angles where water contact with the top of the plenum
chamber occured, rendering these data inaccurate. At higher
bubble pressures, the draft of the craft was quite small and
relatively large pitch angles resulted in venting of the
plenum to atmosphere. Again, these data were considered to
be non-representative and were not included in the analysis.
The minimum power pitch angle at each speed is seen to
move toward lower values as the bubble pressure is
increased. This is felt to be a reasonable result in that
the planing angle of the craft should be reached with a
smaller angle as the draft decreases.
At the higher plenum chamber pressures an interesting
and, at first glance, a somewhat unexpected phenomenon
occurs. The slopes of the curves reverse and a local
maximum thrust condition appears to exist. This is
accounted for by the shallow draft of the craft and the fact
that so little of the sidewall is actually in the water
(draft is about six inches at twenty-nine pounds per square
foot) . The craft, in this condition of operation, is
approaching the behavior of an Air Cushion Vehicle. If the
seals were large enough and stiff enough, eventually the
craft would be completely above the water. With the
flexible seal construction of the Captured Air Bubble craft,
this condition is not possible. As the craft is pitched
either way, the drag forces are decreased. In other words,
the wetted area decreases on either side of an operating
condition which corresponds to maximum wetted sidewall
surface. This action is noted at all operating speeds.
17
X
M
*" iv 3::
Figure 1 - TOTAL POWER VS PITCH ANGLE, 15.0 KNOTS
Curve Index: Plenum Pressure in PSF
X-Scale: 1.0 Deg/inch
T-Scale: 0.5 HP/inch, Add: 20.0 HP to all values
18
-rryt\J2
Figure 2 - TOTAL POWER VS PITCH ANGLE, 15.0 KNOTS
Curve Index: Plenum Pressure in PSF
X-Scale: 1.0 Deg/inch
Y-Scale: 0.5 HP/inch, Add: 20.0 HP to all values
19
nc; 2:5 gin „: 022 125
Figure 3 - TOTAL POWER VS PITCH ANGLE, 18.0 KNOTS
Curve Index: Plenum Pressure in PSF
X-Scale: 0.5 Deg/inch
Y-Scale: 1.0 HP/inch, Add 23.0 HP to all values
20
X
:<
rs no: m aoj
Figure 4 - TOTAL POWER VS PITCH ANGLE, 22.0 KNOTS
Curve Index: Plenum Pressure in PSF
X-Scale: 1.0 Deg/inch
I-Scale: 5.0 HP/inch, Add 25.0 HP to all values
21
331 ica y.z 03J
Figure 5 - TOTAL POWER VS PITCH ANGLE, 25.0 KNOTS
Curve Index: Plenum Pressure in PSF
X-Scale: 1.0 Deg/inch
Y-Scale: 5.0 HP/inch, Add 25.0 HP to all values
22
Figure 6 - TOTAL POWER VS PITCH ANGLE, 27.5 KNOTS
Curve Index: Plenum Pressure in PSF
X-Scale: 0.5 Deg/inch
Y-Scale: 5.0 HP/inch, Add 45.0 HP to all values
23
X•jj_ 0*2 :,z i:-: as:
Figure 7 - TOTAL POWER VS PITCH ANGLE, 30.0 KNOTS
Curve Index: Plenum Pressure in PSF
X-Scale: 1.0 Deg/inch
I-Scale: 10.0 HP/inch, Add 50.0 HP to all values
24
Figures 8 through 28 display Total Power as a function
of Plenum Pressure at the various cruising speeds. Each
graph represents a slice at constant pitch angle obtained by
linear interpolation of the existing data. This displays at
each probable operating pitch angle the most efficient air
plenum pressure. At the higher speeds, the most efficient
operating plenum pressures are those in the higher range.
The higher pressures result in lower hydrodynamic drag from
a reduction in the sidewall- water interface contact. Since
each curve is shown at a different pitch angle, planing
action is observed to have a significant effect on total
power above one degree pitch angle at speeds greater than
twenty-two knots. At fifteen knots, the lowest total power
is at approximately twenty-six pounds per square foot plenum
pressure (compare Figures 2 and 12). The slight increase in
total power at fifteen knots and large plenum pressures is
caused by the fan power being approximately fifteen percent
of the total power.
Again, minima can be seen to exist at each speed. The
usefulness of this is explained in a later portion when a
recommended operating profile is presented.
From the calm water studies, it can be seen that as the
speed is increased to the higher cruising range,
optimization is achieved by increasing the bubble pressure
to the highest possible value, particularly with craft pitch
angles above one degree (a very common operating point is
one to two degrees)
.
At fifteen knots and below, the operating bubble
pressure must be chosen very carefully at all pitch angles
considered. Even at this low speed, proper choice of plenum
pressure based on the steady-state pitch angle can result in
a savings in power required of over six percent.
25
Once the spectrum of calm water runs over the range of
pitch angles was completed, test runs were simulated for
each speed at each plenum pressure to obtain the natural
steady-state condition of the craft. This was accomplished
by utilizing the moments for the X, Y and Z axes that have
been verified by previous studies of the XR-3 at the Naval
Postgraduate School. The simulations were conducted under
calm water conditions. At each speed, the lift supply fan
speed was changed to yield the pressures utilized in the
previous calm water simulations and the craft allowed to
reach steady-state pitch angle and thrust. These results
are shown graphically as Figure 29 for each bubble pressure.
At the lower plenum pressures, the pitch angle does not vary
significantly (0.4 degree) as the total power, and thus the
speed of the craft, is increased. As the plenum pressure,
however, is increased to the higher portion of the range,
the steady-state pitch angle changes nearly 1.5 degrees as
the total power is increased. Figure 29 also shows that the
pitch angle and plenum pressure are essentially independent,
especially at the lower range of pressures.
Figure 30 displays the same information at each speed.
Note the considerable reduction in total power required to
maintain a given speed as the plenum chamber pressure is
increased from nineteen to twenty-nine pounds per square
foot. From this graph, a one-third reduction in total power
is realized along the thirty knot curve, where increasing
plenum pressure allows total power to decrease from 85.44 to
56.52 horsepower. The power required to increase the
pressure is only 1.61 horsepower.
C. EXPERIMENTAL VERIFICATION TESTS
Verification tests were conducted on the XR-3 craft
26
under calm water conditions. The total weight of the craft
and ballast was 6 895 pounds. The ballast was shifted along
the longitudinal centerline to obtain a spectrum of pitch
angles for comparison with the simulation results. The
tests were conducted at fifteen, eighteen and twenty-two
knots, constant speed. With the craft loaded this heavily,
higher speeds could not be obtained. Only one air plenum
pressure could be consistently obtained with the present
configuration of the lift fan system. Figure 31 shows all
three speeds at twenty-four pounds per square foot bubble
pressure for the simulated and actual test runs for
comparison. The same trends exist for both situations at
each speed, thus producing the confidence in the simulation
results to carry out the remainder of this study.
27
s
Bo
s3
18
a:: j:i 03« 036 sea ojo
Figure 8 - TOTAL POWER VS PLENUM PRESSURE, 0.5 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch, Add 18.0 PSF to all values
Y-Scale: 10.0 HP/inch, Add 20.0 HP to all values
28
oa
no
too
a
7.5
os: 2C2 ac<{ 025 013
Figure 9 - TOTAL POWER VS PLENUM PRESSURE, 0.6 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inca, Add 18.0 PSF to all values
Y-Scale: 10.0 HP/inch, Add 20.0 HP to all values
29
I
inD
§
aa
§
7.5
_ J5
30: J32 33-J 306 oca 010
Figure 10 - TOTAL POMES VS PLENUM PRESSURE, 0.7 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch, Add 18.0 PSF to all values
I-Scale: 10.0 HP/inch, Add 20.0 HP to all values
30
Oo
na
7.5
.15
CC2 024 035 010
Figure 11 - TOTAL POWER VS PLENUM PRESSURE, 0.8 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch, Add 18.0 PSF to all values
Y-Scale: 10.0 HP/inch, Add 20.0 HP to all values
31
B
Jul 3:.; ?:s ssa 013
Figure 12 - TOTAL POWER VS PLENUM PRESSURE, 0.9 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch, Add 18.0 PSF to all values
T-Scale: 10.0 HP/inch, Add 20.0 HP to all values
32
oa
3a
IS
a
o
2a
7-5
caoCjC :c2 0G4 DCS OjO
Figure 13 - TOTAL POWER VS PLENUM PRESSURE, 1.0 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch r Add 18.0 PSF to all values
Y-Scale: 10.0 HP/inch, Add 20.0 HP to all values
19
15
33
s
3
jg
3
15
a:: aci 02.; 336 sea oio
Figure 14 - TOTAL POWER VS PLENUM PRESSURE, 1.1 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch, Add 18.0 PSF to all values
Y-Scale: 10.0 HP/inch, Add 20.0 HP to all values
34
oa
a
o
7-5
oaa
2Q1 3Q4 0G5 0.1 a
Figure 15 - TOTAL POWER VS PLENUM PRESSURE, 1.2 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch, Add 18.0 PSF to all values
Y-Scale: 10.0 HP/inch, Add 20.0 HP to all values
15
35
A.
a
a
i
a
3
D
15
asi 3d-, 03€ 013
Figure 16 - TOTAL POWER VS PLENUM PRESSURE, 1.3 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch, Add 18.0 PSF to all values
Y-Scale: 10.0 HP/inch, Add 20.0 HP to all values
36
oa
IBna
oo
aa
aa
7-5
aa
15
- w <- QG4 QG5 c:3 aia
Figure 17 - TOTAL POHER VS PLENUM PRESSURE, 1.4 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch, Add 18.0 PSF to all values
Y-Scale: 10.0 HP/inch, Add 20.0 HP to all values
37
a
as
S3
B
y
15
33: 332 334 335 33(1 313
Figure 18 - TOTAL POWER VS PLENUM PRESSURE, 1.5 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch, Add 18.0 PSF to all values
Y-Scale: 10.0 HP/inch, Add 20.0 HP to all values
38
inaa
ao
a
7.5
.15
QCC JC2 3G^- QQ5 0Q9 8:0
Figure 19 - TOTAL POHER VS PLENUM PRESSURE, 1.6 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch, Add 18.0 PSF to all values
Y-Scale: 10.0 HP/inch, Add 20.0 HP to all values
39
a
Ba
j:i ::•. ao« oia
Figure 20 - TOTAL POWER VS PLENUM PRESSURE, 1.7 DEGREES
Curve Index: Speed in KnotsX-Scale: 2.0 PSF/inch, Add 18.0 PSF to all valuesT-Scale: 10.0 HP/inch, Add 20.0 HP to all values
15
40
Oa
ID
a
oa
ga
7-5
.15
03C JC2 3C4 005 208 fliO
Figure 21 - TOTAL POWER VS PLENUM PRESSURE, 1.8 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch, Add 18.0 PSF to all values
Y-Scale: 10.0 HP/inch, Add 20.0 HP to all values
41
LD3a
3
i
15
333 J32 034 336 ZZi 3i3
Figure 22 - TOTAL POWER VS PLENUM PRESSURE, 1.9 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch, Add 18.0 PSF to all values
Y-Scale: 10.0 HP/inch, Add 20.0 HP to all values
42
b
U3
7-3
oc: J£2 004 qob naa €10
Figure 23 - TOTAL POWER VS PLENUM PRESSURE, 2.0 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch, Add 18.0 PSF to all values
Y-Scale: 10.0 HP/inch, Add 20.0 HP to all values
43
IVo5
13
a
X
15
a2Z 3Z2 024, 036 3C6 313
Figure 24 - TOTAL POWER VS PLENUM PRESSURE, 2.1 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch, Add 18.0 PSF to all valuesY-Scale: 10.0 HP/inch, Add 20.0 HP to all values
44
IV.
C3
K
15
000 JC2 304 005 303 fl:0
Figure 25 - TOTAL POWER VS PLENUM PRESSURE, 2.2 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch, Add 18.0 PSF to all values
Y-Scale: 10.0 HP/inch, Add 20.0 HP to all values
45
33 .
X
_ 15
033 J32 034 036 333 310
Figure 26 - TOTAL POWER VS PLENUM PRESSURE, 2.3 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch, Add 18.0 PSF to all values
Y-Scale: 10.0 HP/inch, Add 20.0 HP to all values
46
Cl
K
15
ZOC 0C2 004 OjS 0C9 010
Figure 27 - TOTAL POWER VS PLENUM PRESSURE, 2.4 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch, Add 18.0 PSF to all values
T-Scale: 10.0 HP/inch r Add 20.0 HP to all values
47
Kaa
h
a
x
15
QZZ 2Z2 Oa-j 326 3C3 013
Figure 28 - TOTAL POWER VS PLENUM PRESSURE, 2.5 DEGREES
Curve Index: Speed in Knots
X-Scale: 2.0 PSF/inch r Add 18.0 PSF to all values
I-Scale: 10.0 HP/inch, Add 20.0 HP to all values
48
g
1
n.JE5
9
d
X
x3C2 221 "32. JZJ 320 003
Figure 29 - TOT PWR VS PITCH ANGLE, NATURAL RESPONSE
Curve Index: Plenum Pressure in PSF
X-Scale: 1.0 Deg/inch.
I-Scale: 10.0 HP/inch, Add 30.0 HP to all values
49
aa
22. J
L2-3
15. fl
iJE~
~i :ux TT: 57Z
Figure 30 - TOT PWR 7S PITCH ANGLE, NATURAL RESPONSE
Curve Index: Speed in Knots
X-Scale: 1.0 Deg/inch, Add 1.0 Deg to all values
Y-Scale: 10.0 HP/inch, Add 20.0 HP to all values
50
•1na
n24
2-1
21
X
321"~
7Z2 J-J 33J 0:J
Figure 31 - TOT PWR VS PITCH ANG, ACTUAL CRAFT
Curve Index: Speed in Knots
X-Scale: 1.0 Deg/inch
Y-Scale: 10.0 HP/inch
51
IV. SEA STATE STUDIES
A. OBJECTIVES
Once the calm water studies were completed, sea state
was introduced into the Loads and Motions Program for the
XR-3 to continue the study. The sea state simulation
studies were conducted at two speeds, one at 27.5 knots, the
other at 18.0 knots. Because of a nearly sixty to one
computation time to real simulation time ratio, an
exhaustive study was prohibitive. General trends with
representative sea state introduced was desirable to be
compared with the calm water simulation runs.
B. SIMULATION PERFORMANCE
The introduction of sea state was accomplished by using
a single wave component with frequency 0.7662 radians per
second and height of one foot peak-to- peak. A single
component sea state such as this is termed a regular sea,
which was chosen to obtain reasonable computational times.
Regular seas were also selected to allow somewhat easier
data reduction. The data was smoothed to obtain an average
value of each parameter and this average value was utilized
as the steady-state value.
52
X
2Jii_
3d'. 11* 111 025
Figure 32 - TOTAL PWR VS PITCH ANGLE, 18 KNOTS, SEA STATE
Curve Index: Plenum Pressure in PSF
X-Scale: 0.5 Deg/inch
Y-Scale: 5.0 HP/inch, Add 25.0 HP to all values
53
K
cna
3-u :. 1L2 121 125
Figure 33 - TOTAL PWR 7S PITCH ANGLE, 27.5 KNOTS, SEA STATE
Curve Index: Plenum Pressure in PSF
X-Scale: 0.5 Deg/inch
T-Scale: 5.0 HP/inch, Add 45.0 HP to all values
54
To obtain a spectrum of pitch angles, the same procedure
of shifting masses along the longitudinal centerline was
used as in the calm water study. The total weight of the
craft in the simulation remained unchanged.
Although not as detailed, Figures 32 and 33 display the
same general trends as found in the calm water studies. As
plenum pressure is increased, the resultant total power
required to maintain the desired speed decreases. The total
power at each bubble pressure is seen to increase over the
same calm water condition. The plenum pressures for the sea
state data are shown on the left side of each curve and
marked with SS and the calm water plenum pressures are at
the right side designated with CW. In all cases, the total
power is slightly greater (4 to 6 percent) for the sea state
tests. This is an expected and reasonable phenomenon. The
wetted sidewall surface is now irregular causing an increase
in average thrust power required to maintain the specified
speed. The average fan power is also seen to increase in an
attempt to maintain the bubble pressure constant.
The operational pitch angles are much more restricted
than in the calm water simulations. With one foot waves,
venting of the plenum or water contact with the plenum top
occurs much more readily at the plenum pressure extremes.
Bubble Pressures below twenty-one pounds per square foot
allowed frequent contact with the air plenum top surface and
at the higher bubble pressure (above twenty-seven pounds per
square foot) excessive venting occurred at Pitch Angles
above 2.5 degrees and below 0.3 degrees.
For the purposes of this study, three plenum pressures
were utilized: 23, 26 and 27 pounds per square foot. This
choice of pressures allowed representative trends to be
observed without plenum chamber water contact or excessive
55
plenum venting. A comparison is made of the calm water and
sea state simulations. Figures 32 and 33 display the
slightly higher total power necessary to operate the craft
in a sea state condition, the increase in power being
approximately six percent over the total range of pitch
angles used. From this comparison, it is concluded that the
craft, in sea state conditions, operates in much the same
manner as in calm water, therefore, all further analysis is
conducted for calm water conditions. All conclusions and
recommendations will be equally applicable to sea state
operation.
56
7. RESULTS
Most data has been presented in the sections devoted to
each specific type of simulation condition conducted. To
test for a global minimum, air plenum pressure was plotted
against pitch angle with total power held constant. If a
global minimum is to exist as a function of the two control
variables, one would expect somewhat concentric circles or
concentric contours at each constant total power point.
The sketches presented as Figure 34 represent the global
minimum expected at each speed. The contours of sketch A
represent lines of constant total power on a plot of Plenum
Pressure versus Pitch Angle. As the optimum operating point
is approached (movement toward the central contour) , the
range of plenum chamber pressures and pitch angles become
more restricted. Sketch B of Figure 34 is a view
perpendicular to the dashed line shown on sketch A. It
represents the profile of total power based on chosen values
of plenum pressure and pitch angle along that dashed line
and displays the actual minimum power point.
From the data produced in the simulations, only fifteen
knots speed can be analyzed in this fashion. At all other
speeds, the bubble pressures chosen for analysis were too
far apart and did not produce a sufficient number of points
at each constant power level to produce a graph. Figure 35
represents the graph of Air Plenum Pressure versus Pitch
Angle for fifteen knots. Curves A through I indicate plenum
pressures of 19, 20, 21, 23, 24, 26, 27, 28 and 29
respectively. As shown by the flatness of these curves,
bubble pressure is nearly independent of pitch angle over
57
the operational range of pitch angles chosen for this study.
This is, of course, a desirable feature as these are the two
control variables. Also shown are contours of constant
total power. These are in the range of 21.2 to 21.8
horsepower. The solid portion of the contours represent the
actual data while the dotted portion is extrapolated. The
data for the contours was obtained by linear interpolation
of the calm water data at constant total power. From Figures
1 and 2 we would expect two different pitch angles to yield
the same total power at several of the plenum pressures,
which produces the contours shown. For fifteen knots.
Figure 35 displays a global minimum at 1.7 degrees pitch
angle and 24.1 pounds per square foot plenum pressure, as
determined from Figures 1 and 2. The minimum power point,
and thus the point of greatest efficiency, is determined
graphically to be approximately 20.9 horsepower.
Based on the similarity of results between the calm
water simulations and the simulations after the introduction
of sea state, a similiar global minimum should be obtained
under sea state conditions. It is expected that the global
minimum would occur at a slightly higher total power than
that of similar operation in calm water, however it would
occur at essentially the same pitch angle and plenum
pressure
.
58
Figure 34 - SKETCHES OF THE GLOBAL MINIMUM CONDITIONA - Sketch of Bubble Pressure vs Pitch Angle
B - Section Along Dashed Line in (A)
59
13Z 3SE 013 213 '*23 D25
Figure 35 - BOBBLE PRESSURE VS PITCH ANGLE, 15 KNOTS
Contours: Total Power in HP
X-Scale: 0.5 Deg/inch, Add 0.5 Deg to all values
I-Scale: 2.0 PSF/inch, Add 18.0 PSF to all values
60
71. CONCLUSIONS
A. SUMMATION
At each speed an optimum operating point exists where
efficiency can be maximized. This increase in efficiency
(up to forty percent is possible) can result in a
considerable savings in operating costs, or, possibly more
importantly in a military application, extend tha operating
range of the craft. For example, at thirty knots and a
craft pitch angle of 1.5 degrees, simply increasing the
plenum pressure from nineteen to twenty-nine pounds per
square foot results in the indicated savings of forty
percent in total power required for operation of the XR-3.
This is shown in Figure 36. The high speed capabilities of
this type of craft have been previously demonstrated, and it
is concluded from this study that optimization can be
achieved over the full range of cruising speeds, but most
significantly at the higher speeds.
In general, the power required to support the craft is
relatively independent of the forward speed thrust power at
all speeds. The data of Appendix A demonstrates this very
well. Under the columa heading FAN PWR, the actual power
required to supply the necessary lift pressure is seen to be
nearly constant over the entire speed range at each bubble
pressure. Note also that the fan power does not change as
the craft speed or pitch angle changes, only when the plenum
pressure is altered. Therefore, it is prudent to increase
the lift fan power supplying the plenum pressure at higher
61
speeds to effect a decrease in dra^j forces. At the lower
cruising speeds, lift fan power becomes a significant factor
(approximately fifteen percent) of total power, and thus the
bubble pressure must be chosen carefully based on the pitch
angle to obtain optimal operation and power efficiency. The
pitch angle and bubble pressure must be utilized in harmony
to achieve this optimization.
The pitch angle of the craft is also seen to be a
significant factor in power optimization. From Figure 36,
for example, operation of the craft at twenty-four pounds
per square foot pressure and 1.1 degrees pitch angle
requires only 70.1 horsepower. At all other pitch angles,
the required power increases. A savings of six percent,
under these conditions, can be realized if the optimal pitch
angle is utilized.
B. METHOD OF CONTROL
Operator control of both pitch angle and plenum pressure
is certainly a realizable method of obtaining optimal
operation of the craft. It would, however, require a
complete set of information on every possible combination of
operational attitudes of the craft. Although it could be
stored as a set of operational profiles in a digital
computer to be recalled at the will of the operator, this is
prohibitive because of the computational time required to
obtain such a wide range of data. Additionally, no two
craft operate exactly the same, each having its own
peculiarities. It is concievable that a separate set of
profiles would have to be produced for each ship in the
class.
Automatic control of both pitch angle and air plenum
62
pressure is also a possibility. The physical method of
controlling these two variables will not be considered here,
but the demonstrated optimization could be achieved with a
minimum power seeking control system. It is envisioned to be
a system with input parameters, in addition to the attitude
of the craft, of thrust power and fan power. At a given
total power level, the pitch angle of the craft could be
perturbed slightly by the control system. If this
disturbance resulted in a reduction in total power, the
perturbation would continue until a further disturbance
resulted in a power increase. A similar set of perturbations
would then be introduced into the plenum pressure system
and, again, power minimization sought. Once the minimum
power point, and thus the optimal operating point, is
attained, this two parameter control system would maintain
optimization throughout craft operation.
63
3QC 002
«30* OCi
Figure 36 - TOTAL POWER VS PITCH ANGLE, 30 KNOTSCurve Index: Plenum Pressure in PSF
X-Scale: 1.0 Deg/inchY-Scale: 10.0 HP/inch, Add 50.0 HP to all values
64
VII. OPERATIONAL CONSIDERATIONS
At the present time, pitch control is not incorporated
into any of the Captured Air Bubble Test Vehicles. This
includes both the three ton and the one hundred ton models.
Until such time as pitch control is made available, it is
recommended that the plenum pressure be adjusted once the
steady-state pitch angle is achieved at the desired cruising
speed.
Figure 37 is presented as the Optimum Operating Profile.
Again, Total Power is plotted aginst Pitch Angle and two
speeds, eighteen and twenty-seven knots are shown for
comparison. Only calm water data are presented since they
are representative of the sea state conditions as well.
Several cases are considered and the use of this information
is presented below:
1. Consider the case of non-optimal initial conditions.
The craft is operating at 27.5 knots, 26 PSF air plenum
pressure. The natural pitch angle of the craft is 2.25
degrees (Point A) . To optimize under these comditions,
the pitch angle should be changed to 0.7 degrees
requiring 3. 75 horsepower less than the original
condition. This is shown as Point B. To optimize
still further, the air plenum pressure should be
increased to 29 PSF (Point C) reducing the power
required to maintain 27.5 knots by an additional 6.9
horsepower. If optimization is continued, the pitch
angle should be altered to arrive at Point D, resulting
in a total reduction in required power of 13.5
horsepower, or twenty-five percent.
65
2. While operating at Point D, it is desired to change
speed to eighteen knots. Thrust power is reduced to
allow the craft speed to decrease to eighteen knots
while maintaining 2.0 degrees pitch angle, and the
craft is at an optimal power level (Point E) . Note,
however, that the craft could also operate at Point F,
with a pitch angle of 0.4 degrees and still remain at
the optimal power level. This would be operator
choice, and might be considered for reasons of crew
preference or equipment operation.
3. Assuming pitch control is not available (as is the
present situation), at 18.0 knots and 29 PSF plenum
pressure, the natural pitch angle is 1.9 degrees, or
essentially the optimal pitch angle (Point E) . If the
speed were increased to 27.5 knots with the plenum
pressure unchanged, the craft would naturally assume a
1.0 degree attitude (Point G) which is very near the
maximum power level for this plenum pressure. It has
been noted in both simulation and actual craft
operation that the craft does not necessarily assume
the optimal attitude. In actual operation, for the
given power level, the craft could have just as easily
settled at Point C. The perturbations during the
transition control this phenomonon and it is mentioned
purely because it does exist in craft operation.
Two specific speeds were utilized for these examples,
but any combination of speed and/or air plenum pressure
changes can be studied in similar fashion by use of Figures
1 through 7 in the same manner as Figure 37. Since pitch
control is not available, one must use whatever pitch angle
is assumed by the craft and optimize operation by altering
the plenum chamber pressure accordingly.
If pitch angle and plenum chamber pressure control were
66
both available, the constant power contours of Figure 38
could be used to determine the point of optimal operation.
Figure 38 is for fifteen knots, but, as explained earlier,
similar results exist at all speeds. At fifteen knots, the
operating profile (Figure 38) would require choices of
bubble pressure and pitch angle to reach the center contour.
This could be accomplished either by operator (manual)
control or an automatic controller. For this speed, the
pitch angle would be adjusted to 1.7 degrees and the air
plenum pressure to 24.1 PSF to operate the craft at minimum
total power, 20.9 horsepower. This is the optimal point of
operation at fifteen knots. The broadness of this minimum
could not be determined from the existing data, but the
trend indicates it is relatively small. Based on the
similarity of calm water and sea state studies, this minima
is not expected to broaden nor change significantly.
67
Figure 37 - TOT PWR VS PTCH ANG, 18 AND 27 KNOTS
Curve Index: Plenum Pressure in PSF
X-Scale: 1.0 Deg/inch
Y-Scale: 10.0 HP/inch, Add 20.0 HP to all values
68
Figure 38 - RECOMMENDED OPERATING PROFILE, 15 KNOTS
Contours: Constant Total Power in Horsepower
X-Scale: 0.5 Deg/inch, Add 0.5 Deg to all values
Y-Scale: 2.0 PSF/inch, Add 18.0 PSF to all values
69
VIII. RECOMMENDATIONS
As demonstrated, control of both plenum pressure and
pitch angle are necessary to achieve power optimization.
Air plenum pressure control is incorporated into the larger,
one hundred ton models by use of variable speed lift fans.
Pitch angle control, although not presently available, could
be achieved by a ballast shifting system, possibly using
water and/or fuel tanks distributed along the sidewall
length. An alternate method would be to use additional
controllable surfaces placed below the waterline to effect
pitch control.
A major consideration which is beyond the scope of this
study is the determination of whether pitch control
introduced should be automatic or simply a set of
recommended pitch angles controlled by an averaging system
by the operator. This is left as a possible future thesis
subject.
Optimization of power can be achieved only through
judicious choice of both pitch angle and plenum chamber
pressure. The method of control may be either manual or
automatic, but the results display a considerable savings if
the Captured Air Bubble Surface Effect Ship is operated
toward this optimal goal.
70
APPENDIX A
SIMULATION DATA LISTING
Appendix A is presented as the calm water data produced
by the Loads and Motions Program for the XR-3 Surface
Effects Ship. This is done to allow the reader to obtain
specific parameter values used to present the graphical
information included in the body of the text. It is also
presented because it represents considerable computation
time (nearly one hundred hours of computer time) . The data
can therefore be utilized in subsequent analysis work if
desired.
The column headings are presented at the top of each
page. Pitch angle (THETA) is in degrees, THRUST is
expressed in pounds, BUBBLE PRESSURE in pounds per square
foot, and FAN POWER, THRUST POWER and TOTAL POWER in
horsepower.
The graph titles remain in the listing to allow ease in
separation of the data as are the graphical set-up cards
separating each bubble pressure at each speed. The four
rightmost digits are for rapid identification based on speed
(the first two digits) and bubble pressure (the last two)
.
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LIST OF REFERENCES
1. Robert L. Trillo, Marine Hovercraft Technology, Leonard
Hill, 1975
2. Oceanics, Incorporated, Report No. 71, Technical
Industrial Park, Plainview, N. Y. , 11803, August 1971
3. Boncal, R. and Leo, D. G., XR-3 Surface Effects Ship
Test Craft ; a Mathematical Model and S imulation Program
with Verificat ion, M.S. Thesis, Naval Postgraduate
School, December 1973
4. Forbes, G. T. , Validation of the Non linear
Six-Degree-Qf -Freedom M ath ematical Model of the XR-3
Captured Air Bubble Surface Effect Ship in Calm Water,
M.S. Thesis, Naval Postgraduate School, December 1974
5. Menzel, R. F. , A Study of the Roll and Pitch Tran sients
in Cal m Water tJsing_ the Simulated Per formance of the
XR-3 S urfa ce Effect Ship Loads and Motions Computer
Program, M.S. Thesis, Naval Postgraduate School,
December 1975
109
INITIAL DISTRIBUTION LIST
No. Copies
1. Defense Documentation Center 2
Cameron Station
Alexandria, Virginia 22314
2. Library, Code 0212 2
Naval Postgraduate School
Monterey, California 93940
3. Department Chairman, Code 62 2
Electrical Engineering Department
Naval Postgraduate School
Monterey, California 93940/
4. Professor George J. Thaler, Code 62Tr 5
Department of Electircal Engineering
Naval Postgraduate School
Monterey, California 93940
5. Professor Alex Gerba, Jr., Code 62Gz 1
Department of Electrical Engineering
Naval Postgraduate School
Monterey, California 93940
6. Mr. A. W. Anderson 6
PMS 304-31A-1
Surface Effect Ships Project Office
P.O. Box 34401
Bethesda, Maryland 20034
110
7. Lt. Frederick K. Richardson, OSN
Strategic Systems Project Office, SP-273
Department of the Navy
Washington, D.C. 10091
111
20FCB7925210
;8882lbThesis
H3f ^er"optimization ofPoWer
°~d"air bubble
Surface
20FEB7925210
3
ThesisR386/
c.l
163682Richardson
Power optimization ofthe captured air bubbleSurface Effects Ship.
thesR3867
Power optimization of the captured air b
3 2768 000 99051 9_, DUDLEY KNOX LIBRARY