Question:
Is there a simple way to determine the proper curve to make an effective airfoil shape?
I'm Sri Lankan
2007-07-16 06:06:42 UTC
I know there must be some really complicated maths involved, but i want to know if there is a shortcut .
Four answers:
2007-07-16 19:10:02 UTC
Hi

Here is a website that has listings for over a dozen airfoils. There is also program for designing your own.

cheers
Jim
2007-07-16 13:23:58 UTC
The answer to your question is "no" (sorry). Determining proper airfoil shape is a bewilderingly complex task because everything about the airfoil is a compromise between generating lift and reducing drag.



For example, for an airfoil to generate lots of lift and have low takeoff and landing speeds (and, therefore, be able to use shorter runways) a nice straight, fat (highly cambered) wing is required. That's all well and good until you try to fly fast with that wing. That fat wing generates a lot of drag and, for really high speed operations (above mach 0.5) the straight wing really becomes a problem due to compressibility effects (these are the effects of air "compressing" as the speed of sound is exceeded and shockwaves are generated).



In order to work around compressibility effects (i.e. delay them to a higher airspeed) you can either sweep the wing, make the wing very thin, or both (this explains the design of wings on airliners and most corporate jets). Unfortunately, these qualities produce very little lift at low speed which is why these airplanes usually have an elaborate system of leading edge slats, flaps, and/or slots and trailing edge flaps. They allow the high speed wing to become a better lift producer at low speeds.



In summary, the wing design depends on what you want your airplane to do. Fly fast? Have good short field performance? Lift a lot of weight? Then you design your airfoil to optimize the qualities you want while living with its inevitable shortcomings.
al b
2007-07-16 14:46:03 UTC
I'm afraid the first answer is right, however, if you want to play around with shapes that will produce lift and you don't care about results, the essentials are a nicely rounded leading edge (front) and the distance from the leading edge to the trailing edge ( point at the rear of the airfoil where the upper and lower surfaces converge) has to be longer on the top than on the bottom. Draw a straight line from the front of the leading edge to the rear ot the trailing edge, this is called the "chord", when you mount your "wing", mount it so that the "chord" is at a slight angle to the air its going into, this is called the "angle of attack".The air splits to go around the airfoil shape, and HAS to meet at exactly the same time at the trailing edge, this means the top air has to go much faster to get there, causing lower pressure on the upper surface which is otherwise known as "lift".
The Kid
2007-07-16 17:14:42 UTC
There are other requirements. Are you a FAA approved mechanic or are you doing this on your our airplane? Do you have repairmens certificate?



U.S. Department

of Transportation

Federal Aviation

Administration

Advisory

Circular

Subject: AEROELASTIC STABILITY Date: 7/23/98 AC No: 25.629-1A

SUBSTANTIATION OF TRANSPORT Initiated by: ANM- 114 Change:

CATEGORY AIRPLANES

1. PURPOSE. This advisory circular (AC) provides guidance material for

acceptable means, but not the only means, of demonstrating compliance with the

provisions of part 25 of the Federal Aviation Regulations (FAR) dealing with the design

requirements for transport category airplanes to preclude the aeroelastic instabilities of

flutter, divergence and control reversal. The precise detailing of analytical procedures

and testing techniques is beyond the scope of this AC. Some general considerations are

set forth herein, with supportive discussion, to be considered in demonstrating

compliance with § 25.629 and related regulations.

2. CANCELLATION. Advisory Circular 25.629-1, Flutter Substantiation of

Transport Category Airplanes, dated January 4, 1985, is cancelled.

3. RELATED FAR SECTIONS.

§ 25.251 - Vibration and buffeting.

§ 25.305 - Strength and deformation.

§ 25.335 - Design airspeeds.

§ 25.343 - Design fuel and oil loads.

§ 25.571 - Damage-tolerance and fatigue evaluation of structure.

§ 25.629 - Aeroelastic stability requirements.

§ 25.631 - Bird strike damage.

§ 25.671 - General (Control Systems).

§ 25.672 - Stability augmentation and automatic and power-operated systems.

§ 25.1309 - Equipment, systems and installations.

§ 25.1329 - Automatic pilot system.

§ 25.1419 - Ice protection.

4. BACKGROUND.

a. Flutter and other aeroelastic instability phenomena have had a significant influence on airplane

development and the airworthiness criteria governing the design of civil airplanes. The initial requirement for

consideration of flutter was minimal in the

FAA Form 1320-15 (4-82) Supersedes WA Form 1320-2

AC 25.629-1A 7/23/98

1931 "Airworthiness Requirements of Air Commercial Regulations for Aircraft," Bulletin No. 7-A. The airplane

flutter requirement specified that "no surface shall show any signs of flutter or appreciable vibration in any

attitude or condition of flight." In 1934, Bulletin No. 7-A was revised in view of service experience and

contained advice and good practice techniques for the early airplane designer regarding flutter prevention

measures. All airplane designs were required to have interconnected elevators, statically-balanced ailerons,

irreversible or balanced tabs, and, in some cases, a ground vibration test was required to be conducted.

b. Regulations dealing specifically with flutter, deformation, and vibration on transport category

airplanes were first- introduced when part 04 of the Civil Air Regulations (CAR) became effective in the mid- I

940's. The criteria related the solution of the flutter problem to frequency ratios based on model tests conducted

by the Army Air Corps. Also, based on the Army Air Corps developments, part 04 imposed a design factor of

1.2 on equivalent airspeed to provide a stiffness margin for the airframe. In addition to this empirical approach,

and recognizing the advancing state-of-the-art, part 04 referenced publications containing developing flutter

theory.

C. The flutter requirement of part 04 evolved into CAR 4b.308 where developing fail-safe

philosophy continued to change the scope of flutter substantiation. Among these developments was a revision to

CAR 4b.320 in 1956 to require fail-safe tabs and a revision to CAR 4b.308 in 1959 to require fail-safe flutter

damper installations. The flutter requirement was extensively revised in 1964 to require compliance with the

single failure criteria for the entire airplane as well as adding special provisions for turboprop airplanes.

d. Service experience indicated that single failure criteria related to flutter stability were not

sufficiently objective and comprehensive to cover modem, complex, transport airplanes equipped with highly

redundant systems. Therefore, part 25 of the FAR, which was recodified from part 04b of the CAR, was

amended to require that, unless combinations of failures are shown to be extremely improbable, they must be

considered in design for freedom from flutter and divergence.

e. The development of speed and attitude limiting systems has created the need for a minimum

speed margin for fail-safe aeroelastic stability substantiation. Part 25 as amended at Amendment 77

incorporated this minimum fail-safe speed boundary, revised the safety margins for aeroelastic stability, and

expanded the list of failures, malfunctions and adverse conditions that needed to be addressed.

f. Additional regulations governing the interaction of systems with structures have been written

for airplanes with advanced electronic flight control systems. These regulations prescribe variations in the

fail-safe speed margins depending on the probability of system failure.

5. . DISCUSSION OF REQUIREMENTS. The general requirement for demonstrating freedom from aeroelastic

instability is contained in § 25.629, which also sets forth specific requirements for the investigation of these aeroelastic

phenomena for various airplane configurations and flight conditions. Additionally, there are other conditions defined by

the sections of the FAR listed in paragraph 3 above to be investigated for aeroelastic stability to assure safe flight.

Many of the conditions contained in this AC pertain only to certain specific amendments of the FAR. Type design

changes to airplanes certified to an earlier part 25 amendment must meet the certification basis established for the

modified airplane.

a. Aeroelastic Stability Envelope.

(1) For nominal conditions without failures, malfunctions, or adverse conditions, freedom from

aeroelastic instability is required to be shown for all combinations of airspeed and altitude encompassed by the design

dive speed (VD) and design dive Mach number (MD) versus altitude envelope enlarged at all points by an increase of

15 percent in equivalent airspeed at both constant Mach number and constant altitude. Figure I A represents a typical

design envelope expanded to the required aeroelastic stability envelope. Note that some required Mach number and

airspeed combinations correspond to altitudes below standard sea level.

(2) The aeroelastic stability envelope may be limited to a maximum Mach number of 1.0 when

MD is less than 1.0 and when there is no large and rapid reduction in damping as MD is approached.

(3) Some configurations and conditions that are required to be investigated by § 25.629 and other

part 25 regulations consist of failures, malfunctions or adverse conditions. Aeroelastic stability investigations of these

fail-safe conditions need to be carried out for all approved altitudes to the greater airspeed defined by:

(a) The V

D/

M

D envelope determined by § 25.335(b); or,

(b) An altitude-airspeed envelope defined by a 15 percent increase in equivalent airspeed

above V

C at constant altitude, from sea level up to the altitude of the intersection of 1. 15 V

C with the extension of the

constant cruise Mach number line, MC, then a linear variation in equivalent airspeed to M

C + .05 at the altitude of the

lowest VC/MC intersection; then at higher altitudes, up to the maximum flight altitude, the boundary defined by a .05

Mach increase in MC at constant altitude.

Figure IB shows the minimum aeroelastic stability envelope for fail-safe conditions, which is a composite of the

highest speed at each altitude from either the VD envelope or the constructed altitude-airspeed envelope based on the

defined V

C and M

C.

Fail-safe design speeds, other than the ones defined above, may be used for certain system failure conditions

when specifically authorized by other rules or special conditions prescribed in the certification basis of the airplane.

b. Configurations and Conditions. The following paragraphs provide a summary of the configurations

and conditions to be investigated in demonstrating compliance with part 25. Specific design configurations may

warrant additional considerations not discussed in this AC.

(1) Nominal Configurations and Conditions. Nominal configurations and conditions of the

airplane are those that are likely to exist during normal operation. Freedom from aeroelastic instability should be

shown throughout the expanded clearance envelope described in paragraph 5a(l) above for:

(a) The range of fuel and payload combinations, including zero fuel, for which

certification is requested.

(b) Configurations with any likely ice mass accumulations on unprotected surfaces for

airplanes approved for operation in icing conditions.

(c) All normal combinations of autopilot, yaw damper, or other automatic flight control

systems.

(d) All possible engine settings and combinations of settings from idle power to

maximum available thrust including the conditions of one engine stopped and windmilling, in order to address the

influence of gyroscopic loads and thrust on aeroelastic stability.

(2) Failures, Malfunctions. and Adverse Conditions. The following conditions should be investigated

for aeroelastic instability within the fail-safe envelope defined in paragraph 5a(3) above.

(a) Any critical fuel loading conditions, not shown to be extremely improbable, which

may result from mismanagement of fuel.

(b) Any single failure in any flutter control system.

(c) For airplanes not approved for operation in icing conditions, any likely ice

accumulation expected as a result of an inadvertent encounter. For airplanes approved for operation in icing

conditions, the maximum likely ice accumulation expected as the result of any single failure in the de-icing system, or

any combination of failures not shown to be extremely improbable.

(d) Failure of any single element of the structure supporting any engine, independently

mounted propeller shaft, large auxiliary power unit, or large externally mounted aerodynamic body (such as an

external fuel tank).

(e) For airplanes with engines that have propellers or large rotating devices capable of

significant dynamic forces, any single failure of the engine structure that would reduce the rigidity of the rotational

axis.

(f) The absence of aerodynamic or gyroscopic forces resulting from the most adverse

combination of feathered propellers or other rotating devices capable of significant dynamic forces. In addition, the

effect of a single feathered propeller or rotating device must be coupled with the failures of paragraphs 5b(2)(d) and

5b(2)(e) above.

(g) Any single propeller or rotating device capable of significant dynamic forces rotating

at the highest likely overspeed.

(h) Any damage or failure condition, required or selected for investigation by § 25.571. The

single structural failures described in paragraphs 5b(2)(d) and 5b(2)(e) above need not be considered in showing

compliance with this paragraph if;

1 The structural element could not fail due to discrete source damage resulting

from the conditions described in § 25.571(e); and

2 A damage tolerance investigation in accordance with § 25.571(b) shows that

the maximum extent of damage assumed for the purpose of residual strength evaluation does not involve complete

failure of the structural element.

(i) Any damage, failure or malfunction, considered under §§ 25.631, 25.671, 25.672,

and 25.1309. This includes the condition of two or more engines stopped or windmilling for the design range of fuel

and payload combinations, including zero fuel.

(j) Any other combination of failures, malfunctions, or adverse conditions not shown to

be extremely improbable.

C. Detail Design Requirements.

(1) Main surfaces, such as wings and stabilizers, should be designed to meet the aeroelastic

stability criteria for nominal conditions and should be investigated for meeting fail-safe criteria by considering stiffness

changes due to discrete damage or by reasonable parametric variations of design values.

(2) Control surfaces, including tabs, should be investigated for nominal conditions and for failure

modes that include single structural failures (such as actuator disconnects, hinge failures, or, in the case of

aerodynamic balance panels, failed seals), single and dual hydraulic system failures and any other combination of

failures not shown to be extremely improbable. Where other structural components contribute to the aeroelastic

stability of the system, failures of those components should be considered for possible adverse effects.

(3) Where aeroelastic stability relies on control system stiffness and/or damping, additional

conditions should be considered. The actuation system should continuously provide, at least, the minimum stiffness or

damping required for showing aeroelastic stability without regard to probability of occurrence for:

(a) More than one engine stopped or windmilling,

(b) Any discrete single failure resulting in a change of the

structural modes of vibration (for example; a disconnect or failure of a mechanical element, or a structural failure of a

hydraulic element, such as a hydraulic line, an actuator, a spool housing or a valve),

(c) Any damage or failure conditions considered under §§ 25.571, 25.631 and 25.671.

The actuation system minimum requirements should also be continuously met after any combination of failures

not shown to be extremely improbable (occurrence less than 10-9 per flight hour). However, certain combinations of

failures, such as dual electric or dual hydraulic system failures, or any single failure in combination with any probable

electric or hydraulic system failure (§ 25.671), are not normally considered extremely improbable regardless of

probability calculations. The reliability assessment should be part of the substantiation documentation. In practice,

meeting the above conditions may involve design concepts such as the use of check valves and accumulators,

computerized pre-flight system checks and shortened inspection intervals to protect against undetected failures.

(4) Consideration of free play may be incorporated as a variation in stiffness to assure adequate

limits are established for wear of components such as control surface actuators, hinge bearings, and engine mounts in

order to maintain aeroelastic stability margins.

(5) If balance weights are used on control surfaces, their effectiveness and strength, including

that of their support structure, should be substantiated.

(6) The automatic flight control system should not interact with the airframe to produce an

aeroelastic instability. When analyses indicate possible adverse coupling, tests should be performed to determine the

dynamic characteristics of actuation systems such as servo-boost, fully powered servo-control systems, closed-loop

airplane flight control systems, stability augmentation systems, and other related powered-control systems.

6. COMPLIANCE. Demonstration of compliance with aeroelastic stability requirements for an airplane

configuration may be shown by analyses, tests, or some combination thereof. In most instances, analyses are required

to determine aeroelastic stability margins for normal operations, as well as for possible failure conditions. Wind tunnel

flutter model tests, where applicable, may be used to supplement flutter analyses. Ground testing may be used to collect

stiffness or modal data for the airplane or components. Flight testing may be used to demonstrate compliance of the

airplane design throughout the design speed envelope.

a. Analytical Investigations. Analyses should normally be used to investigate the aeroelastic stability of

the airplane throughout its design flight envelope and as expanded by the required speed margins. Analyses are used to

evaluate aeroelastic stability sensitive parameters such as aerodynamic coefficients, stiffness and mass distributions,

control surface balance requirements, fuel management schedules, engine/store locations, and control system

characteristics. The sensitivity of most critical parameters may be determined analytically by varying the parameters

from nominal. These investigations are an effective way to account for the operating conditions and possible failure

modes which may have an effect on aeroelastic stability margins, and to account for uncertainties in the values of

parameters and expected variations due to in-service wear or failure conditions.

(1) Analytical Modeling. The following sections discuss acceptable, but not the only, methods and

forms of modeling airplane configurations and/or components for purposes of aeroelastic stability analysis. The types of

investigations generally encountered in the course of airplane aeroelastic stability substantiation are also discussed. The

basic elements to be modelled in aeroelastic stability analyses are the elastic, inertial, and aerodynamic characteristics

of the system. The degree of complexity required in the modeling, and the degree to which other characteristics need

to be included in the modeling, depend upon the system complexity.

(a) Structural Modeling. Most forms of structural modeling can be classified into two

main categories: (1) modeling using a lumped mass beam, and (2) finite element modeling. Regardless of the approach

taken for structural modeling, a minimum acceptable level of sophistication, consistent with configuration complexity, is

necessary to satisfactorily represent the critical modes of deformation of the primary structure and control surfaces.

The model should reflect the support structure for the attachment of control surface actuators, flutter dampers, and any

other elements for which stiffness is important in prevention of aeroelastic instability. Wing-pylon mounted engines are

often significant to aeroelastic stability and warrant particular attention in the modeling of the pylon, and pylon-engine

and pylon-wing interfaces. The model should include the effects of cut-outs, doors, and other structural features which

may tend to affect the resulting structural effectiveness. Reduced stiffness should be considered in the modeling of

airplane structural components which may exhibit some change in stiffness under limit design flight conditions.

Structural models include mass distributions as well as representations of stiffness and possibly damping

characteristics. Results from the models should be compared to test data, such as that obtained from ground vibration

tests, in order to determine the accuracy of the model and its applicability to the aeroelastic stability investigation.

(b) Aerodynamic Modeling.

1 Aerodynamic modeling for aeroelastic stability requires the use of unsteady,

two-dimensional strip or three-dimensional panel theory methods for incompressible or compressible flow. The choice

of the appropriate technique depends on the complexity of the dynamic structural motion of the surfaces under

investigation and the flight speed envelope of the airplane. Aerodynamic modeling should be supported by tests or

previous experience with applications to similar configurations.

2 Main and control surface aerodynamic data are commonly adjusted by weighting

factors in the aeroelastic stability solutions. The weighting factors for steady flow (k=O) are usually obtained by

comparing wind tunnel test results with theoretical data. Special attention should be given to control surface

aerodynamics because viscous and other effects may require more extensive adjustments to theoretical coefficients.

Main surface aerodynamic loading due to control surface deflection should be considered.

(2) Types of Analyses.

(a) Oscillatory (flutter) and non-oscillatory (divergence and control reversal) aeroelastic

instabilities should be analyzed to show compliance with § 25.629.

(b) The flutter analysis methods most extensively used involve the modal analysis with

unsteady aerodynamic forces derived from various two- and three-dimensional theories. These methods are generally

for linear systems. Analyses involving control system characteristics should include equations describing system control

laws in addition to the equations describing the structural modes.

(c) Airplane lifting surface divergence analyses should include all appropriate rigid body

mode degrees-of-freedom since divergence may occur for a structural mode or the short period mode.

(d) Loss of control effectiveness (control reversal) due to the effects of elastic

deformations should be investigated. Analyses should include the inertial, elastic, and aerodynamic forces resulting from

a control surface deflection.

(3) Damping Requirements.

(a) There is no intent in this AC to define a flight test level of acceptable minimum

damping.

(b) Flutter analyses results are usually presented graphically in the form of frequency

versus velocity (V-f, Figure 2) and damping versus velocity (V-g, Figures 3 and 4) curves for each root of the flutter

solution.

(c) Figure 3 details one common method for showing compliance with the requirement

for a proper margin of damping. It is based on the assumption that the structural damping available is 0.03 (1.5%

critical viscous damping) and is the same for all modes as depicted by the V-g curves shown in Figure 3. No significant

mode, such as curves (2) or (4), should cross the g=O line below VD or the g=0.03 line below 1. 15 VD. An exception

may be a mode exhibiting damping characteristics similar to curve (1) in Figure 3, which is not critical for flutter. A

divergence mode, as illustrated by curve (3) where the frequency approaches zero, should have a divergence velocity

not less than L 15 VD-

(d) Figure 4 shows another common method of presenting the flutter analysis results and

defining the structural damping requirements. An appropriate amount of structural damping for each mode is entered

into the analysis prior to the flutter solution. The amount of structural damping used should be supported by

measurements taken during full scale tests. This results in modes offset from the g=O line at zero airspeed and, in

some cases, flutter solutions different from those obtained with no structural damping. The similarity in the curves of

Figures 3 and 4 are only for simplifying this example. The minimum acceptable damping line applied to the analytical

results as shown in Figure 4 corresponds to 0.03 or the modal damping available at zero airspeed for the particular

mode of interest, whichever is less, but in no case less than 0.02. No significant mode should cross this line below VD

or the g=O line below 1. 15 VD.

(e) For analysis of failures, malfunctions or adverse conditions being investigated, the

minimum acceptable damping level obtained analytically would be determined by use of either method above, but with a

substitution of VC for VD and the fail-safe envelope speed at the analysis altitude as determined by 5a(3) above.



(4) Analysis Considerations. Airframe aeroelastic stability analyses may be used to verify the

design with respect to the structural stiffness, mass, fuel (including in-flight fuel management), automatic flight control

system characteristics, and altitude and Mach number variations within the design flight envelope. The complete

airplane should be considered as composed of lifting surfaces and bodies, including all primary control surfaces which

can interact with the lifting surfaces to affect flutter stability. Control surface flutter can occur in any speed regime and

has historically been the most common form of flutter. Lifting surface flutter is more likely to occur at high dynamic

pressure and at high subsonic and transonic Mach numbers. Analyses are necessary to establish the mass balance

and/or stiffness and redundancy requirements for the control surfaces and supporting structure and to determine the

basic surface flutter trends. The analyses may be used to determine the sensitivity of the nominal airplane design to

aerodynamic, mass, and stiffness variations. Sources of stiffness variation may include the effects of skin buckling at

limit load factor, air entrapment in hydraulic actuators, expected levels of in-service free play, and control system

components which may include elements with nonlinear stiffness. Mass variations include the effects of fuel density

and distribution, control surface repairs and painting, and water and ice accumulation.

(a) Control Surfaces. Control surface aeroelastic stability analyses should include control

surface rotation, tab rotation (if applicable), significant modes of the airplane, control surface torsional

degrees-of-freedom, and control surface bending (if applicable). Analyses of airplanes with tabs should include tab

rotation that is both independent and related to the parent control surface. Control surface rotation frequencies should

be varied about nominal values as appropriate for the condition. The control surfaces should be analysed as completely

free in rotation unless it can be shown that this condition is extremely improbable. All conditions between stick-free and

stick-fixed should be investigated. Freeplay effects should be incorporated to account for any influence of in-service

wear on flutter margins. The aerodynamic coefficients of the control surface and tab used in the aeroelastic stability

analysis should be adjusted to match experimental values at zero frequency. Once the analysis has been conducted

with the nominal, experimentally adjusted values of hinge moment coefficients, the analysis should be conducted with

parametric variations of these coefficients and other parameters subject to variability. If aeroelastic; stability margins

are found to be sensitive to these parameters, then additional verification in the form of model or flight tests may be

required.

(b) Mass Balance.

1 The magnitude and spanwise location of control surface balance weights may be

evaluated by analysis and/or wind tunnel flutter model tests. If the control surface torsional degrees of freedom are not

included in the analysis, then adequate separation must be maintained between the frequency of the control surface

first torsion mode and the flutter mode.

2 Control surface unbalance tolerances should be specified to provide for repair and

painting. The accumulation of water, ice, and/or dirt in or near the trailing edge of a control surface should be avoided.

Free play between the balance weight, the support arm, and the control surface must not be allowed. Control surface

mass properties (weight and static unbalance) should be confirmed by measurement before ground vibration testing.

3 The balance weights and their supporting structure should be substantiated

for the extreme load factors expected throughout the design flight envelope. In the absence of a rational investigation,

the following limit accelerations, applied through the balance weight center of gravity should be used.

100g normal to the plane of the surface

30g parallel to the hinge line

30g parallel to the plane of the surface and perpendicular to the hinge line

(c) Passive Flutter Dampers. Control surface passive flutter dampers may be used to

prevent flutter in the event of failure of some element of the control surface actuation system or to prevent control

surface buzz. Flutter analyses and/or flutter model wind tunnel tests may be used to verify adequate damping. Damper

support structure flexibility should be included in the determination of adequacy of damping at the flutter frequencies.

Any single damper failure should be considered. Combinations of multiple damper failures should be examined when

not shown to be extremely improbable. The combined free play of the damper and supporting elements between the

control surface and fixed surfaces should be considered. Provisions for in-service checks of damper integrity should be

considered. Refer to paragraph 5c(3) above for conditions to consider where a control surface actuator is switched to

the role of an active or passive damping element of the flight control system.

(d) Intersecting Lifting Surfaces. Intersecting lifting surface aeroelastic stability

characteristics are more difficult to predict accurately than the characteristics of planar surfaces such as wings. This

is due to difficulties both in correctly predicting vibration modal characteristics and in assessing those aerodynamic

effects which may be of second order importance on planar surfaces, but are significant for intersecting surfaces.

Proper representation of modal deflections and unsteady aerodynamic coupling terms between surfaces is essential

in assessing the aeroelastic stability characteristics. The in-plane forces and motions of one or the other of the

intersecting surfaces may have a strong effect on aeroelastic stability; therefore, the analysis should include the effects

of steady flight forces and elastic deformations on the in-plane effects.

(e) Ice Accumulation. Aeroelastic stability analysis should use the mass distributions

derived from the maximum likely ice accumulations. The ice accumulation determination can take into account the

ability to detect the ice and the time required to leave the icing condition. The analyses need not consider the

aerodynamic effects of ice shapes.

(f) Whirl Flutter.

1 The evaluation of the aeroelastic stability should include investigations of any

significant elastic, inertial, and aerodynamic forces, including those associated with rotations and displacements in the

plane of any turbofan or propeller, including propeller or fan blade aerodynamics, powerplant flexibilities,

powerplant mounting characteristics, and gyroscopic coupling.

2 Failure conditions are usually significant for whirl instabilities. Engine mount,

engine gear box support, or shaft failures which result in a node line shift for propeller hub pitching or yawing motion

are especially significant.

3 A wind tunnel test with a component flutter model, representing the

engine/propeller system and its support system along with correlative vibration and flutter analyses of the flutter

model, may be used to demonstrate adequate stability of the nominal design and failed conditions.

(g) Automatic Control Systems. Aeroelastic stability analyses of the basic configuration

should include simulation of any control system for which interaction may exist between the sensing elements and the

structural modes. Where structural/control system feedback is a potential problem the effects of servo-actuator

characteristics and the effects of local deformation of the servo mount on the feedback sensor output should be

included in the analysis. The effect of control system failures on the airplane aeroelastic stability characteristics should

be investigated. Failures which significantly affect the system gain and/or phase and are not shown to be extremely

improbable should be analysed.

b. Testing. The aeroelastic stability certification test program may consist of ground tests, flutter model

tests, and flight flutter tests. Ground tests may be used for assessment of component stiffness and for determining the

vibration modal characteristics of airplane components and the complete airframe. Flutter model testing may be used to

establish flutter trends and validate aeroelastic stability boundaries in areas where unsteady aerodynamic calculations

require confirmation. Full scale flight flutter testing provides final verification of aeroelastic stability. The results of any

of these tests may be used to provide substantiation data, to verify and improve analytical modeling procedures and

data, and to identify potential or previously undefined problem areas.

(1) Structural Component Tests. Stiffness tests or ground vibration

tests of structural components are desirable to confirm analytically predicted characteristics and are necessary where

stiffness calculations cannot accurately predict these characteristics. Components should be mounted so that the

mounting characteristics are well defined or readily measurable.

(2) Control System Component Tests. When reliance is placed on stiffness or damping to prevent

aeroelastic instability, the following control system tests should be conducted. If the tests are performed off the airplane

the test fixtures should reflect local attachment flexibility.

(a) Actuators for primary flight control surfaces and flutter dampers should be tested

with their supporting structure. These tests are to determine the actuator/support structure stiffness for nominal design

and failure conditions considered in the fail-safe analysis.

(b) Flutter damper tests should be conducted to verify the impedance of damper and

support structure. Satisfactory installed damper effectiveness at the potential flutter frequencies should, however, be

assured. The results of these tests can be used to determine a suitable, in-service maintenance schedule and

replacement life of the damper. The effects of allowable in-service free play should be measured.

(3) Ground Vibration Tests.

(a) Ground vibration tests (GVT) or modal response tests are normally conducted on the

complete conforming airplane. A GVT may be used to check the mathematical structural model. Alternatively, the use

of measured modal data alone in aeroelastic stability analyses, instead of analytical modal data modified to match test

data, may be acceptable provided the accuracy and completeness of the measured modal data is established.

Whenever structural modifications or inertia changes are made to a previously certified design or a GVT validated

model of the basic airplane, a GVT may not be necessary if these changes are shown not to affect the aeroelastic

stability characteristics.

(b) 'The airplane is best supported such that the suspended airplane rigid body modes are

effectively uncoupled from the elastic modes of the airplane. Alternatively, a suspension method may be used that

couples with the elastic airplane provided that the suspension can be analytically de-coupled from the airplane structure

in the vibration analysis. The former suspension criterion is preferred for all ground vibration tests and is necessary in

the absence of vibration analysis.

(c) The excitation method needs to have sufficient force output and frequency range to

adequately excite all significant resonant modes. The effective mass and stiffness of the exciter and attachment

hardware should not distort modal response. More than one exciter or exciter location may be necessary to insure that

all significant modes are identified. Multiple exciter input may be necessary on structures with significant internal

damping to avoid low response levels and phase shifts at points on the structure distant from the point of excitation.

Excitation may be sinusoidal, random, pseudo-random, transient, or other short duration, non stationary means. For

small surfaces the effect of test sensor mass on response frequency should be taken into consideration when analyzing

the test results.

(d) The minimum modal response measurement should consist of acceleration (or

velocity) measurements and relative phasing at a sufficient number of points on the airplane structure to accurately

describe the response or mode shapes of all significant structural modes. In addition, the structural damping of each

mode should be determined.

(4) Flutter Model Tests.

(a) Dynamically similar flutter models may be tested in the wind tunnel to augment the

flutter analysis. Flutter model testing can substantiate the flutter margins directly or indirectly by validating analysis data

or methods. Some aspects of flutter analysis may require more extensive validation than others, for example control

surface aerodynamics, T-tails and other configurations with aerodynamic interaction and compressibility effects. Flutter

testing may additionally be useful to test configurations that are impractical to verify in flight test, such as fail-safe

conditions or extensive store configurations. In any such testing, the mounting of the model and the associated analysis

should be appropriate and consistent with the study being performed.

(b) Direct substantiation of the flutter margin (clearance testing) implies a high degree of

dynamic similitude. Such a test may be used to augment an analysis and show a configuration flutter free throughout

the expanded design envelope. All the physical parameters which have been determined to be significant for flutter

response should be appropriately scaled. These will include elastic and inertia properties, geometric properties and

dynamic pressure. If transonic effects are important, the Mach number should be maintained.

(c) Validation of analysis methods is another appropriate use of wind tunnel flutter

testing. When the validity of a method is uncertain, correlation of wind tunnel flutter testing results with a corresponding

analysis may increase confidence in the use of the analytical tool for certification analysis. A methods validation test

should simulate conditions, scaling and geometry appropriate for the intended use of the analytical method.

(d) Trend studies are an important use of wind tunnel flutter testing. Parametric studies

can be used to establish trends for control system balance and stiffness, fuel and payload variations, structural

compliances and configuration variations. The set of physical parameters requiring similitude may not be as extensive

to study parametric trends as is required for clearance testing. For example, an exact match of the Mach number may

not be required to track the effects of payload variations on a transonic airplane.

(5) Flight Flutter Tests.

(a) Full scale flight flutter testing of an airplane configuration to VDF/MDF is a

necessary part of the flutter substantiation. An exception may be made when aerodynamic, mass, or stiffness changes

to a certified airplane are minor, and analysis or ground tests show a negligible effect on flutter or vibration

characteristics. If a failure, malfunction, or adverse condition is simulated during a flight test, the maximum speed

investigated need not exceed VFC/MFC if it is shown, by correlation of the flight test data with other test data or

analyses, that the requirements of § 25.629(b)(2) are met.

(b) Airplane configurations and control system configurations should be selected for flight

test based on analyses and, when available, model test results. Sufficient test conditions should be performed to

demonstrate aeroelastic stability throughout the entire flight envelope for the selected configurations.

(c) Flight flutter testing requires excitation sufficient to excite the modes shown by

analysis to be the most likely to couple for flutter. Excitation methods may include control surface motions or internal

moving mass or external aerodynamic exciters or flight turbulence. The method of excitation must be appropriate for

the modal response frequency being investigated. The effect of the excitation system itself on the airplane flutter

characteristics should be determined prior to flight testing.

(d) Measurement of the response at selected locations on the structure should be made in

order to determine the response amplitude, damping and frequency in the critical modes at each test airspeed. It is

desirable to monitor the response amplitude, frequency and damping change as VDF/MDF is approached. In

demonstrating that there is no large and rapid damping reduction as VDF/MDF is approached, an endeavor should be

made to identify a clear trend of damping versus speed. If this is not possible, then sufficient test points should be

undertaken to achieve a satisfactory level of confidence that there is no evidence of an adverse trend.

(e) An evaluation of phenomena not presently amenable to analyses, such as shock

effects, buffet response levels, vibration levels, and control surface buzz, should also be made during flight testing.


This content was originally posted on Y! Answers, a Q&A website that shut down in 2021.
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