Flight
Test IV
Phugoid Mode Determination
For
The
KOPP BD-4 N375JK “Miss Daisy”

By LT Kenneth G. Kopp
Co-Builder/Owner of the Kopp BD-4 “Miss Daisy”
Figure 1 100 mph Stick free phugoid
Figure 5 140 mph Stick Free (accel)
Table 1 Crew and altitude
assignments
Table 2 Flight Responsibilities
Table 3 100 mph Stick Free (initial
decel)
Table 5 Phugoid Damping Ratio
ζ
Table 7 100 mph Phugoid Transfer Function
Table 8 Phugoid Response Table
Table 9 Kopp BD-4 Performance
Summary Table
Flight test 1 through 3 were conducted to investigate power required, power available and neutral point determination for the purpose of compiling a comprehensive performance summary table for the Kopp BD-4. The summary table contains both operational and design performance specifications useful to both the engineer and pilot alike. In this report results from flight test 4, phugoid mode determination, will be discussed and the summary table expanded to include those results.
The longitudinal phugoid mode is physically described as a damped vertical oscillation of the aircraft’s c.g. trajectory about the horizontal flight path with the velocity decreasing (or increasing) during an altitude increase (or decrease).[1] Mechanically this mode results in an exchange of potential energy with kinetic energy including subsequent loss of energy due to aerodynamic drag, which provides damping to the system. Generally, an aircrafts phugoid mode even when unstable does not greatly affect a pilots ability to safely handle the aircraft as the frequency is typically much lower than the frequency of pilot corrections. However, during IMC flight where pilot workload is increased, due to navigational procedures (chart reading, added communications, etc), an unstable phugoid will require the pilot to diligently monitor the aircrafts altitude and airspeed providing less hands free time for chart and communications work. This is especially true in single place aircraft where a single pilot must handle all the duties of flight. A total of six data collection runs were conducted in the Kopp BD-4. Three runs each were conducted at airspeeds of 100 and 140 mph (Vias). Both stick free and stick fixed response were recorded during this test. Additionally, the prototype data acquisition system G.A.I.M.S. (general aviation inertial measurement system) was utilized to capture the phugoid mode by recording variations in normal acceleration during a single stick free maneuver. The data collected by hand will be used to help validate the general accuracy of the G.A.I.M.S. unit.
This test was conducted in the Kopp BD-4 on 8 Sept,
2000 departing from Monterey Peninsula Airport (MRY) at 10:00 am. Conditions at take-off were:
Wind: 310/8
Alt: 29.96
Rwy: 28R
Crew and altitude assignments were as follows:
Table 1 Crew and altitude assignments
Crew
|
Altitude |
Gross Weight (approx) |
|
LT Ken Kopp / LT Jeff D’Latri |
5500 ft |
2025 lbs |
The test area was restricted to Salinas Valley from Salinas to 15 miles South East of King City. Crew coordination and a thorough test procedures briefing preceded each flight. Data collection sheets were developed, printed and discussed in detail prior to flight as well. Specific responsibilities were delegated as follows:
Table 2 Flight Responsibilities
|
Responsibility |
Pilot at the Controls |
Pilot Not at the Controls |
Flight Safety |
Primary |
Secondary |
|
Airwork |
Primary |
|
|
Test Procedure |
|
Primary |
|
Data Recording |
|
Primary |
|
Communications |
Primary |
Secondary |
|
Navigation |
Secondary |
Primary |
|
Visual Lookout |
Secondary |
Primary |
|
Emergencies |
Primary |
Secondary |
The
aircraft was trimmed in level flight at 5,500 ft (indicated) at an initial
airspeed of 100 mph (Vias).
The aircraft was slowly decelerated by smooth application of back stick
(yoke) against trim until an airspeed change of –20 mph was attained. The yoke was released and the aircraft
allowed to fly hands free until all oscillations had ceased. Upon yoke release a stop watch was started. Altitude, airspeed and time were recorded at
the highest and lowest altitude of each cycle.
This process is identical for the stick fixed case except that the yoke
was held in place by the pilot throughout the maneuver. The entire
procedure was repeated at an airspeed of 140 mph. An extra run was conducted for each airspeed
where the initial input was an acceleration vice a deceleration. Additionally, during the 100 mph stick free
(decel) run the GAIMS unit was started at exactly the moment the yoke was
released and data recorded automatically throughout the maneuver. This data was serially transmitted to a host
laptop computer connected to the unit and stored in a file for future analysis.
All recorded data was
entered into an excel spreadsheet for data analysis. As was done in previous flight test all airspeeds and altitude
measurements are corrected for static position errors according to the
following relationships.

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Data for the first 100 mph stick free run was
collected and reduced in the excel spreadsheet table shown below.
Table 3 100 mph Stick Free (initial decel)
|
100 mph Stick Free with initial decel of 20 mph |
|
Oat |
63 F |
|
|
|
|||||
|
Trim Conditions |
Vcas |
Vcas |
|
|
|
|
|
|
|
|
|
|
Hi |
Hc |
mph |
mph |
|
|
sigma |
|
|
Alt |
A/S |
|
|
5500 |
5507 |
100 |
102.03 |
Cas |
Hi |
std |
Hpc |
Hc |
Amp |
Amp |
|
|
|
Time |
A/S |
delt Vpc |
mph |
ft |
|
ft |
ft |
ft |
mph |
e time |
|
|
0 |
80 |
6.36 |
86.36 |
5600 |
0.8528 |
27.35 |
5627 |
120 |
-16 |
0 |
|
|
12.18 |
110 |
0.58 |
110.58 |
5450 |
0.8481 |
3.49 |
5453 |
-54 |
9 |
12.18 |
|
|
28.42 |
85 |
4.99 |
89.99 |
5560 |
0.8523 |
22.85 |
5583 |
76 |
-12 |
16.24 |
|
|
45.85 |
105 |
1.27 |
106.27 |
5480 |
0.8492 |
7.21 |
5487 |
-20 |
4 |
17.43 |
|
|
54.68 |
90 |
3.85 |
93.85 |
5500 |
0.8517 |
|||||