impact of prediction accuracy on costs- noise … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time %...

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•^^^pR^BK^^-.^^SMPWaPÄM'SHs " -"•' ' '- ' ' --' ' " ' ' --- Report No. FAA-EE-8M0 IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE TECHNOLOGY APPLICATIONS IN HELICOPTERS 00 i> rH O < H. Sternfeld, Jr. R. H. Spencer The Boeing Vertoi Company hia, PA © June 1981 Final Report o Document is available to the U.S. public through the National Technical Information Service, Springfield, Virginia 22161. Prepared for U.S. DEPARTMENT OF TRANSPORTATION Federal Aviation Administration Office of Environment and Energy Independence Ave. S.W. Washington, D.C. 20591 JViV.' v^a\ ; i 81 7 20 094 —•- & 'mm-'trmäf«- "^

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Page 1: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

•^^^pR^BK^^-.^^SMPWaPÄM'SHs "■-"•' '■■ '- ' ■ ' --'■ '■"■■' ' ---

Report No. FAA-EE-8M0

IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE TECHNOLOGY APPLICATIONS IN HELICOPTERS

00

i> rH O

<

H. Sternfeld, Jr. R. H. Spencer

The Boeing Vertoi Company hia, PA

© June 1981

Final Report

o

Document is available to the U.S. public through the National Technical Information Service,

Springfield, Virginia 22161.

Prepared for

U.S. DEPARTMENT OF TRANSPORTATION Federal Aviation Administration

Office of Environment and Energy Independence Ave. S.W.

Washington, D.C. 20591

JViV.' v^a\ ; i

81 7 20 094 —•- & 'mm-'trmäf«- "^ •

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...

THIS DOCUMENT IS BEST QUALITY AVAILABLE. THE COPY

FURNISHED TO DTIC CONTAINED

A SIGNIFICANT NUMBER OF

PAGES WHICH DO NOT

REPRODUCE LEGIBLYo

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■»^P*»*—*»

Technical Rtport Documentation Page

v^£ YhkjMi-yay 2. Government Accession No.

ATV^4-CU%? 3. Recipient's Cotalog No.

A. Title and Subtitle

i I ,'' \

Impact of Prediction Accuracy on Costs - Noise Technology Applications in Helicopters « &

5. R.pprl p<it. _

June-fgfl \ Performing Organization Cod*

?$. Author's) 7 8. Performing Organisation Report No.

R. H. Spencer^-'H. Sternfeld, Jri f. Performing 0*tsam fotioh Name and Address

Boeing Vertol Co. Philadelphia, Pennsylvania

10. Work Unit No. (TRAIS)

It., Juste of RtpoTrätvrPerTöTCovered

12. Sponsoring Agency Name and Address

Federal Aviation Administration Office of Environment and Energy 800 Independence Avenue, S.W. Washington, P.C. 20591 /ÄJ

14. Sponsoring Agency Code

AEE-110 15. Supplementary Note»

1 £ 16 Abttrrc

/ nu ■i. t. Q*

This study is an extension of the work reported in Reference 1, "A Study of Cost/Benefit Tradeoffs Available in Helicopter Noise Technology Applications",

>and considers the effect which uncertainties in the prediction and measurement of helicopter noise have on the development and operating costs.

Although the number of helicopters studied is too small to permit generally applicable conclusions the following are the primary results: 1

The Effective Perceived Noise. Levels tended to be overpredicted for takeoff s, underpredicted for approaches, with no genera! trend noted for level flyovers;

Prediction accuracy for the cases studied ranged from 1 to 6 EPNdB.

Test and measurement repeatability can give a range of up to 3 EPNdB.

Each helicopter must be studied as an individual case and generalization of cost trends should be avoided.

17. Key Words II. Distribution Statement

This document is available to the public through the National Technical Information Service, Springfield, Virginia 22161.

I*. Security Clessif. (of this report)

Unclassified

20. Security Clessif. (of this pege)

Unclassified

21. No. el Pages

43

22. Pr.ce

Form DOT F 1700.7 (»-72) Reproduction of completed poge authorised

Vol&ZX u u

/

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Page 5: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

CONTENTS

List of Illustrations

List of Symbols

I. Summary

II. Introduction

III. Comparison of Measured and Predicted Levels

IV. Effect of Measurement Variables on the Accuracy of Data Samples

V. Effect of Prediction Accuracy on Cost

VI. Conclusions and Recommendations

Appendix A - Rotor Noise Prediction Methodology

B - Definitions of Configuration Modifications and Cost Data From Reference 1

II

III

1

2

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17

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ILLUSTRATIONS

FIGURE PAGE

Comparison of Predicted and Measured PNLT Time Histories - Flyover

Comparison of Predicted and Measured PNLT Time Histories - Approach

Comparison of Predicted and Measured PNLT Time Histories - Takeoff

4. Comparison of Predicted and Measured Data

5. Comparison of Predicted and Measured Spectra, BO-105 Flyover

7

8

7.

Comparison of Predicted and Measured Spectra, CH-47C Flyover

Comparison of Predicted and Measured Spectra, CH-47 Mod Flyover

10

Comparison of Predicted and Measured Spectra, BO-105 Approach

Comparison of Predicted and Measured Spectra, CH-47C Approach

11

12

10. Comparison of Predicted and Measured Spectra, CH-47 Mod Approach

13

11. Comparison of Predicted and Measured Spectra, BO-105 Takeoff

12. Comparison of Predicted and Measured Spectra, CH-47 Mod Takeoff

13. Effect of Configuration Changes on Flyaway Cost, BO-105 (Ref. 1)

14. Effect of Configuration Changes on Direct Operating Cost, BO-105 (Ref. 1)

1r:. Fffect of Configuration Changes on Flyaway Cost, CH-47 (Ref. 1)

16. Effect of Configuration Changes on Direct Operating Cost, CH-47 (Ref. 1)

14

15

19

20

21

22

17. Costs Associated with Designing to Reduced Noise Target Levels

24

II

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SYMBOLS

EPNL - Effective Perceived Noise Level

ISO - International Standards Organization

PNL - Perceived Noise Level

Tone Corrected Perceived Noise Level PNLT

PNLTM - Maxim urn Tone Corrected Perceived Noise Level

III

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Page 8: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

I - SUMMARY

This study is an extension of the work reported in Reference 1, "A Study of Cost/Benefit Tradeoffs Available in Helicopter Noise Technology Applications", and considers the effect which uncertainties in the prediction and measurement of helicopter noise have on the development and operating costs.

Although the number of helicopters studied is too small to permit generally applicable conclusions the following are the primary results:

The Effective Perceived Noise Levels tended to be overpredicted for takeoffs, underpredicted for approaches, with no general trend noted for level flyovers.

Prediction accuracy for the cases studied ranged from 1 to 6 EPNdB.

Test and measurement repeatability can give a range of up to 3 EPNdß.

Each helicopter must be studied as an individual case and generalization of cost trends should be avoided.

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Page 9: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

INTRODUCTION

The Reference 1 report assessed the impact of designing helicopters to noise constraints on the operating and acquisition cos of four helicopters. If the noise target is a guarantee, or a regulatory limit it is then necessary to set a design target level which is below that of the limit in order to ensure compli- ance. The amount of this margin is a function of the accuracy of the analytical predictions along with estimates of data repeatability, and the risk one is willing to assume. The purpose of this study is to provide a basis for evaluating the prediction accuracy of currently available analytical methodology and, using the results of Reference 1, the cost penalties which w'll result from the reqi,;red design conservatism.

Ill - COMPARISON OF MEASURED AND PREDICTED LEVELS

This study is based on comparison between predicted and measured noise levels in level flight, takeoff, and approach, of three of the helicopters which were evaluated in Reference 1. ~he BO-105. a small single rotor helicopter; the C.H-47C, a large tandem rotor helicopter whose acoustical signature is dominated by impulsive rotor noise; and a modified version of the CH-47C in which rotor noise was substantially reduced.

The prediction procedures used in this report are the same as those employed in the Reference 1 study. The methods are those described in Reference 2 and are summarized in Appendix A.

The data tor the CH-47C helicopter was measured by the FAA and is reported in Reference 3. The data for the modified CH-47 was measured by Boeing Vertol using procedures which comply with proposed FAA and ICAO regula- tions The data for the BO-105 had been recorded at an earlier date and the flight conditions did not match FAA/ICAO procedures. The predictions, how- ever, were for the flight conditions actually tested.

Analytical predictions of Tone Corrected Perceived Noise Level (PNLT) time histories and EPNL values are presented in Figures 1, 2, and 3 along with directly comparable measured data. The time histories were drawn from PNLT calculations which were done at two second intervals. These curves were then interpolated to obtain predicted PNL I at one half second intervals for the EPNL calculations. The measured data was analyzed at one half second intervals.

Table I provides a comparison of the calculated and measured Perceived Noise Level (PNL), tone Corrected Perceived Noise Level (PNLT) and the tone and duration corrections for each aircraft and flight condition or near the point of Maximum PNL on the centerline of the flight path. The differences between predicted and measured levels are presented in Figure 4. In general the resul- tant EPNL's appear to be over-predicted for takeoff and underpredicted for approach. The latter is probably due to difficulty in accounting for noise due to ulüde-vortex intersection during descent. A similar problem with prediction of tandem rotor blade-vortex interaction noise in level flight is evident in Figure 1 where, in the case ot the CH-47C, the high measured levels on the

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Page 11: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

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Page 12: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

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Page 13: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

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Page 15: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

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FIGURE 8. COMPARISON OF PREDICTED AND MEASURED SPECTRA, BO-105 APPROACH

11

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12

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13

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15

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approach side are known to be impulsive noise which was eliminated on the CH-47 modified aircraft. Note that the prediction methodology which worked quite well for the non-impulsive modified version falls short when applied to the impulsive case.

Duration corrections appear to be very significant thereby indicating the impor- tance of accurate prediction at points along the flight path other than at PNLTM. Tone corrections, although generally smaller than duration corrections appear to be consistently under-predicted. It is also interesting to note that larger tone corrections are applied to the single rotor BO-105 than to the tan- dem rotor configurations.

Spectra for each aircraft and flight condition are included in Figures 5-12. Comparisons are shown for three points under the centerline of the flight path and on the sideline at PNLTM. Although it is difficult to generalize these com- parisons, it is apparent that the source of tone corrections is harmonic rotor noise below 500 Hz and that no corrections are evident due to high frequency engine noise.

IV - THE EFFECT OF MEASUREMENT VARIABLES ON THE ACCURACY OF DATA SAMPLES

The physical measurement of most engineering and scientific systems contains an element of scatter in the observed data, and the measurement of helicopter noise represents no exception. Aircraft position errors and operating condition vari- ables, environmental conditions affecting noise generation, sound propagation factors data measurement and analysis techniques all influence the value of the data reported. The scatter thus generated results in a substantial uncertainty in ths rtrorted noise level for a given helicopter operating at a particular flight condition. For the noise certification of a helicopter the designers must recog- nize and deal with an inability to precisely predict the acoustical signature of the vehicle and to a lesser, but not inconsequential extent, the inability to accurately measure the noise level of that aircraft. The magnitude of the scatter resulting from these measurements influences the confidence that is assigned to the data, and ultimately the confidence in obtaining type certifi- cation of the helicopter itself.

AJ''craft Flight Variables

The operation of a helicopter over a microphone range is subject to a number of variables which affect the magnitude of sound levels being generated. Included in these are airspeed, aircraft position (altitude, yaw, pitch and roll angles) '•otor ^oeed, and ambient temperature. While position errors may be corrected, : actors which affect the fundamental generation of rotor noise are not accounted ■or by current procedures.

In addition, control system inputs (directional, collective and cyclic pitch vari- ations) that stem from even moderately gusty conditions will result in undue transient noise from the rot">r and once generated this becomes part of the heli- copter noise signature.

lb

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Sound Propagation Variables

The transmission of sound from the helicopter to the microphone is strongly influenced by such factors as the air temperature, relative humidity, wind shear, ground surface variations and non-uniformity of ground cover. The adjustment of noise due to temperature and humidity effects is permitted, but not the remaining factors. Frequently the impact of these remaining elements varies seasonably and insufficient information is known regarding how each affects sound propagation.

Measurement

A third area which influences variability in helicopter noise measurements include microphone directivity characteristics, the dynamic range of the data system in use, orientation of the microphone during the measurement procedure and accuracy of measurement of aircraft position information with regard to acoustic data.

A fourth area affecting variability of helicopter noise measurement involves the instrumentation which is used for data analysis. Filter characteristics of the analyzer, while meeting ISO requirements, vary between manufacturers, and different ana;yzers will give different results for the same flyover. Variation in the start time of a data analysis record also will produce small variations in the EPNL values for a given flyover, and levels may vary by as much as 0.5 EPNdB for repeat analysis of the same record. In order to evaluate these vari- ations in analysis by each investigation involved in aircraft noise certification, a common tape recording of aircraft or helicopter flyover noise is being circulated and analyzed. The results of these analysis are reported and the magnitude of the variation in data analysis assessed. These "Round-Robin" procedures are helpful to understand the variation in levels which exist due to analysis tech- nique variations alone. Other "Round-Robin" tests should be conducted which include data acquisition as well as analysis.

All of the i-oove notwithstanding, Paragraph H 36.105 of NPRM 79-13 (Ref. 4) and Paragraph A36.5 (?) (2) of FAR-36 (Ref. 5) specify that the maximum acceptable spread of data, for certification purposes is that which results in a 90% confidence limit of ± 1.5 EPNdB for each test series (flyover, approach, or takeoff). This, in effect, admits to a permissible 3dB data variation due to combined uncorrectable causes. It would therefore be prudent for a manu- facturer to allow a 3dB margin between design target and allowable noise limit just to account for test and measurement variability.

V - EFFECT OF PREDICTION ACCURACY ON COST

Table I, which compares predicted and measured EPNL's indicates cases of both overprediction and underprediction. The impact of both of these types of pre- diction inaccuracies can most easily be seen by the examples of Table II applied to the level flyover case.

17

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TABLE II NOISE REDUCTION REQUIREMENTS

Gross Weight (lbs.) FAR 36 Limit

BO-105

5070 89.5 EPNdB

CH-47C

40,654 98.6 EPNdB

Prediction

Level Reduction Required Configuration Required

Measured

94.5 5.0

Mod 1*

106.3 7.7

Mod 1*

88.7 108.9 0(-.8) 10.3 Baseline* Mod 2*

Level Reduction Required Configuration Required

* Defined in Reference 1 and Appendix B

In tne case of the BO-105 the overprediction would have resulted in unneces- sary replacement of the baseline rotor and tail rotor gear box with the cost impacts shown in Figures 13 and 14.

The case of the CH-47C is more difficult to analyze. In this case, if no margin were taken, the aircraft selected by analytical prediction (Mod 1) would have failed to certify. As in the case of the BO-105, the configuration which would certify (.Mod 2) requires a new advanced rotor and gear changes in the acces- sory drive system. The cost differences, shown in Figure 15 and 16, however, form what may be only a small part of the true costs. Failure to certify, on schedule, will usually have a severe effect on aircraft delivery thereby impact- ing sales and cash flow. If, for example, a new rotor system is required, but has not been fully developed, qualified, tested, and certified for performance, Hying qualities, vibration, and structural integrity, the delay in schedule to (ull type certification would certainly be in excess of one year and frequently several years, while the cost of developing new rotors runs into millions of dollars. If the helicopter has competition from other manufacturers, the set- back in the market could well prove catastrophic. For these reasons it is necessary to design the helicopter to a target noise level which is below the actual regulatory limit. In an oral presentation to the FAA Administrator, rep- resentatives of the helicopter industry stated that a 90% probability of success- ful certification would be required to make the required investment a prudent risk.

In order to d ,ciop a good basis for establishing the confidence limits on heli- copter noise prediction considerably more comparisons of measured and predicted EPNL's are required than were done for this study. Even with these few cases, however, underpredictions of the order of 3 EPNdB for flyover and 5 EPNdB for approach were noted.

The Reference 1 report also examined the cost impact of noise reduction on sev- eral helicopters. Using that study as a basis it is possible to evaluate what the effect of designing those helicopters to lower noise level criteria would have

18

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PRODUCTION QUANTITY

• 50 O 100 A 200 0 500 O 1000

REDUCTION IN NOISE FROM BASi LINE - EPNdB (FLYOVER EPNL)

Figure 13. Effect of Configuration Changes on Flyaway Cost, BO-105 (Ref. 1)

19

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Figure 14. Effort of Configuration Changes on Direct Operating Cost, BO-105 (Ref. 1)

20

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Figure 15. Effect of Configuration Changes on Flyaway Cost, CH-47 (Ref. 1)

21

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Figure 16. Effect of Configuration Changes on Direct Operating Cost, CH-47 (Ref. 1)

22

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'

been. The results of the cost impact studies along with definitions of the air- craft configurations are included in Appendix B of this report. For purposes of this study the costs which would have been associated with designing the baseline aircraft to reduced target levels of 3dB, 6dB, and (in the case of the CH-47) 12dB were studied. The assumption in each case being that instead of the baseline aircraft the modified version which achieves the required reduction would have been required. These modifications are summarized in Table III.

TABLE III NOISE REDUCTION MODIFICATION

Required Reduction BO-105

Helicopter Model Model 179 CH-47

3 EPNdB 6 EPNdB 12 EPNdB

Mod 1 Mod 2

Mod 1 Mod 3 Mod 1

Mod 3

* For definition of modifications see Reference 1 or Appendix B

The results of applying the cost impact data developed in Reference 1 to the configuration changes indicated in Table III are illustrated in Figure 17.

VI - CONCLUSIONS AND RECOMMENDATIONS

The study evaluated the ability to analytically predict helicopter noise and the impact which allowance for prediction accuracy has on helicopter costs. The sample of helicopters studied was very small and, while serving as specific examples, should not be used to derive general conclusions about the maximum range of prediction error or cost impact.

The effects of blade/vortex interaction on both main and tail rotors are partic- ularly difficult to predict and when they occur can lead to severe underpre- diction of sound pressure level, tone correction, and duration correction.

It is recommended that this study be expanded by the addition of at least five other helicopters, mainly medium and large single rotor designs, for which measured data is available from testing which the FAA has already performed.

23

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FIGURE 17. COSTS ASSOCIATED WITH DESIGNING TO REDUCED NOISE TARGET LEVELS

24

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REFERENCES

1. Spencer, R. H., and Sternfeld, H., "Study of Cost/Benefit Tradeoffs Available in Helicopter Noise Technology Applications" Report No. FAA-EE-80-5, January 1980

2. Pegg, R. J., "A Summary and Evaluation of Semi-Empirical Methods for the Prediction of Helicopter Rotor Noise", NASA TM80200, December 1979

3. True, H. C. and Letty, R. M., "Helicopter Noise Measurements Data Report, Volume 11", Report No. FAA-RD-77-57, 11 April 1977

4. "Noise Standards for Helicopters in the Normal, Transport, and Restricted Categories", Notice of Proposed Rule Making No. 79-13, Federal Register, Vol. 44, No. 140, July 19, 1979

5. "Noise Standards: Aircraft Type and Airworthiness Certification", Federal Aviation Regulations Part 36 Change 12, January 15, 1979

25

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APPENDIX A

ROTOR NOISE PREDICTION METHODOLOGY

The components of rotor noise calculated for the prediction of helicopter flyover acoustic signatures were (1) rotational, (2) broadband, (3) thickness, (4) compressibility, and (5) interaction noise. The first two of these methods had been previously programmed for machine computation and cases were run for all helicopters in the study.

Elements (3), (4) and (5) were calculated by hand from methods suggested by Pegg (Reference 2). Pegg reduced the computation complexity of the equations developed by several researchers in rotor acoustics. These elements were included, as appropriate, and summed with the rotationai and broadband components to obtain estimates of the total flyover signature. The following section presents a synopsis of the equations adopted for use in this program.

Rotational Noise - The theory for this component of rotor noise was developed by Lowson and Ollerhead ( 6) and it forms the basis for the calculations of this element of rotor noise used in this program. Several assumptions were made to the original expression to permit a closed form solution:

Cn = E K ' RrT\k yl°n-M sin 9)JJ-JJ + (^r cos Q)J\\

C amplitude of nth sound harmonic at specified fieid point

\ air loading harmonic number

K constant

r distance between rotor center and field point

n=mB harmonic number x number of blades

M rotational Mach number

R radius of action of blade forces

8 angle between disc plane and field point

J| complex collection of Bessel functions of argument (nM cos ?)

^T'^D'C^C thrust, drag, radial force harmonic coefficients

k loading power law exponent

T thrust

( 6 ) Lowson, M. V., and Ollerhead, J. B., "Studies of Helicopter Rotor Noise", USAAVLABS TR 68-60, January 1969.

A-1

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-^-^-;-

For this study, it was assumed that the thrust, drag and radial force compo- nents were randomized with respect to phase, that the ratio of the magnitude of the components (C,T, C,D, C,_) were 10:1:1, respectively, and that the harmonic airload power law'constant (k) was 1.8 including the A0.5 term due to random phasing effects.

Broadband Noise

The broadband noise equation used for this program was based on the work of Lowson (7), Hubbard (8), Schlegel (9) and Munch (10). It was further modified to reflect an observed dependence on average lift coefficient. The spectrum peak frequency was calculated from

fp = -240 log T + 0.746 Vt + 786

The spectral content of broadband noise is shown in Figure A-1. One-third octave band sound pressure levels were then determined from the following equation based on rotor blades having constant chord, thickness and airfoil section along the radius:

Vt3 - SPL|/3 = 20 1o9 -jr + 10 log Ab (cos2e+0.1)+Si/3+f(C,£)-53.3

where

SPL sound pressure level in the jth 1/3 octave band

fp peak frequency

T thrust

V tip speed

A blade area b

e angle between disc plane and field coordinate

r distance to field coordinate

S-y3 1/3 octave band correction from Fig. A-1

C» average lift coefficient

T77 Lowson, M. V., "Thoughts on Broad Band Noise Radiation by a Helicopter", Wyle Laboratories WR 68-20, 1968.

(8) Hubbard, H. H., "Propeller Noise Charts for Transport Airplanes", NACA TN 2968.

(9) Schlegel, R., King, R. J., and Mull, H., "Helicopter Rotor Noise Generation and Propagation", USAAVLABS Technical Report 66-4, October 1966.

(10) Munch, C. L., "Prediction of V/STOL Noise for Applications to ~ Community Noise Exposure", DOT-TSC-OST-73-19, May 1973.

A-2

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Thickness Noise - Calculation of thickness noise was based on the theoretical analysis developed by Hawkings and Lowson (11). The following equation presents the harmonic sound pressure for thickness noise valid for hovering conditons:

PmB - £ M*pC-(£)(i)y* ± (Sin^ . cos nk5) Jn(^ cos »)«

where:

p D sound pressure level in harmonic mB mB

M. rotational tip Mach number

p air density

C speed of sound in air

R rotor radius

r distance between rotor center and field point

t blade thickness

c blade chord

R

n mB

m sound harmonic number

B number of blades

k c/2Rt, slenderness ratio

J Bessel function of order n and argument ( t cos 8)

For estimating thickness noise levels, Pegg reduced the above expression to,

SPLt = 40 log Mt + 20 log t + 20 log B + 20 log ^t + ASPI_t - 0.9

where ASPU represents an evaluation of

/" £ {SjjjjüLL - cos nk ,;) j„[1l!, cos „d,

for a matrix of values of M , G and k.

HD Hawkings, P. L., and Lowson, M. V., "Tone Noise of High Speed Rotors", ~ Second Aero-Acoustics Conference, Hampton, Virginia, March 24-26, 1975,

AIAA Paper 75-450.

A-3

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' J " ■ *'! ■ ■ —————r ■

_ ....,,. ',• ' —T—'- : 1

Compressibility-Induced Profite Drag Noise - Prediction of compressibility noise is based on the work of Lowson and Ollerhead as modified by Arndt and Borgmann (Reference 12) who related the effect of compressibility drag on impulsive noise in the following expression,

J--00

Pegg has derived a simplified form for the solution to this, assuming a drag divergence Mach number of M. .=0.8.

SPLmB = 20 log £ + 20 log [(Me-0.8) jj-j + ASPLC -21.6

where

MT

e effective Mach number, 1-M-cos 6

ASPL evaluation of the summation on the right side of the *" first equation

Up« profile drag coefficient

Aiji incremental azimuth angle where blade section M > 0.8.

ß. Fourier coefficients in blade torque loading

j summation index

Blade/Vortex Interaction - The component of interaction noise resulting from the intersection of trailed tip vortex filaments and rotor blades was estimated using a method proposed by Wright (Reference 13),

where PmB = (£L E pw) KT mß Xs

E number of interactions per revolution

p load solidity (fraction of the effective disk annulus f occupied by the unsteady loading region

AL fractional steady load change per blade

(12) ArndX R. E. and Borgman, D. C, "Noise Reduction from Helicopter Rotors Operating at High Tip Mach Number", American Helicopter Society, 26 Annual Forum, June 1970.

(13) Wright, S. E., "Discrete Radiation From Rotating Periodic Sources", Journal Sound and Vibration (1971) 17(4) 437-498.

A-4

,*^JJZ±:I

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ppH^ipipiHpil.llll-11-, imp,' "i . ,'■ '■■' ' ' --'■ . i i . ii i .u.., . ill. HIM

K T

Xs

ft.

thrust constant

blade loading spectrum function,

= sinn(ft -1) - sinn(ft +1)

4(ft0-1) 4(ft0+1)

(for sine wave pulse profile)

SEpw . (non-dimensional parameter) w

blade loading harmonic number

The simplified expression for interaction noise takes the form,

SPL mß = 20 log cos 6 + 20 log AL + 20 log Tft + 20 log (x «BfiJ) + 120.6

where

6

T

ft

At))

4U

rC

angle between disc plane and observer

rotor thrust

rotational speed

azimuthal range of load excursion

azimuth at intersection

tjio

A-5

■iUU.

Page 38: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

firiaii'' w*w>.=vi*w;i -s

_p. _»

<

Ui > o • •

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o

03

32 64

BAND CENTER FREQUENCY REF. FREQUENCY, fp,

M FIGURE A-l ROTOR BROADBAND NOISE EMPIRICAL SPECTRUM

A-6

Page 39: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

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APPENDIX B

DEFINITIONS OF CONFIGURATION MODIFICATIONS AND COST DATA FROM REFERENCE 1

B-1

Page 40: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

■■■■BHRpiWiHI — i. iL ■ i w*'i,ti i., -.., JIRpfgpuujlij|.M ' ■ " . i

l ■ '■■■ :■■ ■■ -..-. ■ ■ --■. .-

Table B-1 BO-105 Configuration Changes

Baseline Modification 1 Modification 2

MAIN ROTOR

,

Vt (ft/sec) RPM No. of Blades Airfoil Chord (ft)

716 425 4 23012 0.883

716 425 4 23012 0.883

700 415 4 23012 0.971

TAIL ROTOR

Vt (ft/sec) RPM No. of Blades Airfoil

722 2224 2 0012

702 2162 2 Advanced airfoil, higher L/D, increased twist.

702 2162 2 Same as Mod. 1 plus 10% increase in solidity.

Chord (ft) Flyover EPNL Dynamic System

0.38 89.5 Basic

0.58 86.5 New T/R speed, T/R gearbox.

0.61 83.5 M/R transmission acoustical treat- ment.

Airframe Basic Basic Tail Rotor offset laterally by 1.77 ft.

Powerplant Allison 250-C20

Allison 250-C20

Allison 250-C20

Weight Change (lb) 1.5 56.5

B-2

r^SE

Page 41: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

.IM ji. j.i I..H.H. mfmmmm

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u

REDUCTION IN NOISE FROM BASELINE - EPNdB (FLYOVER EPNL)

Figure B1. Effect of Configuration Changes on Flyaway Cost, BO-105

B-3

Page 42: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

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REDUCTION IN NOISE FROM BASELINE - EPNdB (FLYOVER EPNL)

Figure B2. Effect cf Configuration Changes on Direct Operating Cost, BO-105

B-4

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Page 43: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

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B-5

Page 44: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

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REDUCTION IN NOISE FROM BASELINE - EPNdB (FLYOVER EPNL)

Figure B3. Effect of Configuration Changes on Flyaway Cost, Model 179 "New" Helicopter

B-6

Page 45: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

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REDUCTION IN NOISE FROM BASELINE - EPNdB (FLYOVER EPNL)

Figure B4. Effect of Configuration Changes on Flyaway Cost, Model 179 'In-Production'

B-7

Page 46: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

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REDUCTION IN NOISE FROM BASELINE - EPNdB (FLYOVER EPNL)

Figure B5. Effect of Configuration Changes on Direct Operating Cost, Model 179 'New1 Helicopter

B-8

Page 47: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

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REDUCTION IN NOISE FROM BASELINE - EPNdB (FLYOVER EPNL)

Figure B6. Effect of Configuration Changes on Direct Operating Cost, Model 179 'in-Production' Helicopter

B-9

Page 48: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

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B-10

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/s /\ w r-l z M a .j o u s w < C3 F IED REDUCTION IN NOISE FROM BASELINE - EPNdB

(FLYOVER EPNL)

Figure B7. Effect of Configuration Changes on Flyaway Cost, CH-47

B-11

Page 50: IMPACT OF PREDICTION ACCURACY ON COSTS- NOISE … · 2012. 2. 16. · -10 -8 10 -8 -4-2 0 2 time % sec -4 -2 0 2 time * sec ch-47 mod -2024 time % sec figure 1. comparison of predicted

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REDUCTION IN NOISE FROM BASELINE - EPNdB (FLYOVER EPNL)

Figure B8. Effect of Configuration Changes on Direct Operating Cost, CH-47

60 SEATS

B-12