The results of an experimental and theoretical investigation of the influence of wall vibrations on the sound of brass wind instruments are presented. Measurements of the transmission function and input impedance of a trumpet, with the bell both heavily damped and freely vibrating, are shown to be consistent with a theory that assumes that the internal pressure causes an oscillation of the diameter of the pipe enclosing the air column. These effects are shown to be most significant in sections where there are flaring walls, which explains why damping these vibrations in cylindrical pipes normally produces no measurable effects.

1.
H.
Helmholtz
,
Die Lehre von den Tonempfindungen
(
Druck und Verlag von Friedrich Vieweg und Sohn
,
Braunschweig
,
1877
), p.
164
;
On the Sensation of Tone
(
Dover
,
New York
,
1954
).
2.
C. P.
Boner
and
R. B.
Newman
, “
The effect of wall materials on the steady-state acoustic spectrum of flue pipes
,”
J. Acoust. Soc. Am.
12
,
83
89
(
1940
).
3.
D. C.
Miller
, “
The influence of the material of wind-instruments on the tone quality
,”
Science
29
,
161
171
(
1909
).
4.
W.
Lottermoser
and
J.
Meyer
, “
Ueber den Einfluss des Materials auf die klanglichen eigenschaften von orgelpfeifen (About the influence of the material on timbre properties of organ pipes)
,”
Metall.
16
,
108
111
(
1962
).
5.
J.
Backus
, “
Effect of wall material on the steady-state tone quality of woodwind instruments
,”
J. Acoust. Soc. Am.
36
,
1881
1887
(
1964
).
6.
J.
Backus
, “
Wall vibrations in organ pipes and their effect on tone
,”
J. Acoust. Soc. Am.
38
,
912
(
1965
).
7.
J.
Backus
and
T. C.
Hundley
, “
Wall vibrations in flue organ pipes and their effect on tone
,”
J. Acoust. Soc. Am.
39
,
936
945
(
1966
).
8.
F.
Savart
, “
Memoire sur la voix humaine (Memoir on the human voice)
,”
Ann. Chim. Phys.
30
,
64
87
(
1825
).
9.
K.
Liskovius
, “
Ueber die pfeifen mit haeutigen waenden. Eine akustische untersuchung (About pipes with membrane-like wall. An acoustic investigation)
,”
Ann. Phys. Chem.
133
,
497
518
(
1842
).
10.
K.
Wogram
, “
Einfluss von Material und oberflaechen auf den klang von blechblasin-strumenten (Influence of material and surface properties on the sound of brass wind instruments)
,”
Das Musikinstrument
5
,
414
418
(
1976
).
11.
R. A.
Smith
, “
Recent developments in trumpet design
,”
International Trumpet Guild Journal
3
,
1
8
(
1978
).
12.
R.
Smith
, “
Holographs of bell vibrations
,”
Nature (London)
329
,
762
(
1987
).
13.
W.
Lawson
, “
The effects of screw bell alloy on the acoustic input/output characteristics of a French horn
,”
Horn Call
11
,
53
56
(
1980
).
14.
B. A.
Lawson
and
W.
Lawson
, “
Acoustical characteristics of annealed French horn bell flares
,”
J. Acoust. Soc. Am.
77
,
1913
1916
(
1985
).
15.
P. S.
Watkinson
and
J. M.
Bowsher
, “
Vibration characteristics of brass instrument bells
,”
J. Sound Vib.
85
,
1
17
(
1982
).
16.
R. W.
Pyle
, “
The effect of lacquer and silver plating on horn tone
,”
Horn Call
11
,
26
29
(
1981
).
17.
K.
Wogram
, “
Akustische auswahlkriterien bei blechblasinstrumenten (Acoustical selection criteria for brass wind instruments)
,” in
Das Instrumentalspiel. Bericht vom Int. Symposion
, Wien (12–14 April 1988), edited by
G.
Widholm
and
M.
Nagy
(
Doblinger
,
Wien-Muenchen
,
1989
), pp.
119
136
.
18.
R. A.
Smith
, “
The effect of material in brass instruments: A review
,” in
Proceedings of the Institute of Acoustics
(
1986
), Vol.
8
, pp.
91
96
.
19.
R. W.
Pyle
, “
How brass instruments are built: Art, craft, perhaps even science (A)
,”
J. Acoust. Soc. Am.
101
,
3056
(
1997
).
20.
F.
Gautier
and
N.
Tahani
, “
Vibroacoustic behaviour of a simplified musical wind instrument
,”
J. Sound Vib.
213
,
107
125
(
1998
).
21.
A.
Runnemalm
,
L.
Zipser
, and
H.
Franke
, “
Structural vibration modes of a blown open organ pipe
,”
Acta. Acust. Acust.
85
,
876
881
(
1999
).
22.
M.
Kob
, “
Influence of wall vibrations on the transient sound of a flue organ pipe
,”
Acta. Acust. Acust.
86
,
642
648
(
2000
).
23.
M.
Kob
, “
Can wall vibrations alter the sound of a flue organ pipe?
,” in
Proceedings of ICA 2001 (17th International Congress on Acoustics)
, edited by
A.
Alippi
(
ICA
,
Rome
,
2001
), pp.
12
13
.
24.
G.
Ziegenhals
, “
Wandschwingungen von Metallblasinstrumenten (Wall vibrations in brass instruments)
,” edited by
S.
Langer
,
W.
Scholl
,
V.
Wittstock
, “
Fortschritte der Akustik: Plenarvortraege und Fachbeitraege der 32. Deutschen Jahrestagung fur akustik, DAGA '06, Braunschweig
,”
DEGA (German Acoustics Association)
,
Berlin
(
2006
), pp.
609
610
.
25.
T. R.
Moore
,
E. T.
Shirley
, and
A. E.
Daniels
, “
Trumpet bell vibrations and their effect on the sound of the instrument
,” in
Proceedings of the SMAC03 (Stockholm Music Acoustics Conference 2003)
, edited by
R.
Bresin
(
KTH Speech, Music and Hearing
,
Stockholm
,
2003
), pp.
213
215
.
26.
T. R.
Moore
,
E. T.
Shirley
,
I. E.
Codrey
, and
A. E.
Daniels
, “
The effect of bell vibrations on the sound of the modern trumpet
,”
Acta. Acust. Acust.
91
,
578
589
(
2005
).
27.
W.
Kausel
, “
It’s all in the bore!—Is that true?
J. Acoust. Soc. Am.
121
,
3177
(
2007
).
28.
W.
Kausel
,
A.
Mayer
, and
G.
Nachtmann
, “
More experimental evidence favouring the hypothesis of significant wall vibration influence on radiated horn sound
,”
Acta Acust.
94
,
152
(
2008
).
29.
G.
Ziegenhals
, “
Wandschwingungen von metallblasinstrumenten (Wall vibrations of metal wind instruments)
,” in
Fortschritte der Akustik—DAGA 2006
, Brauschweig (
2006
), pp.
609
610
.
30.
G.
Nief
,
F.
Gautier
,
J. -P.
Dalmont
, and
J.
Gilbert
, “
Influence of wall vibrations on the behavior of a simplified wind instrument
,”
J. Acoust. Soc. Am.
124
,
1320
1331
(
2008
).
31.
J.
Whitehouse
, “
A study of the wall vibrations excited during the playing of lip-reed instruments
,” Ph.D. thesis,
Open University
, Milton Keynes (
2003
).
32.
T. R.
Moore
,
J. D.
Kaplon
,
G. D.
McDowall
, and
K. A.
Martin
, “
Vibrational modes of modern trumpet bells
,”
J. Sound Vib.
254
,
777
786
(
2002
).
33.
L. D.
Landau
and
E. M.
Lifshitz
,
Theory of Elasticity
, 3rd ed. (
Elsevier
,
Oxford
,
1986
), pp.
16
18
.
34.
S.
Yoshikawa
, “
Energy dissipation in underwater and aerial organ pipes
,”
J. Acoust. Soc. Jpn. (E)
6
,
181
192
(
1985
).
35.
D.
Mapes-Riordan
, “
Horn modeling with conical and cylindrical transmission-line elements
,”
J. Audio Eng. Soc.
41
,
471
483
(
1993
).
36.
W.
Kausel
, “
Bore reconstruction of tubular ducts from acoustic input impedance curve
,”
IEEE Trans. Instrum. Meas.
53
,
1097
1105
(
2004
).
37.
J. A.
Kemp
, “
Theoretical and experimental study of wave propagation in brass musical instruments
,” Ph.D. thesis, Physics Department,
University of Edinburgh
, Edinburgh (
2002
).
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