The design of bells with harmonic overtones

Journal of the Acoustical Society of America

Volumn 114, Issue 1, 2003, Pages 505-511

  McLachlan, Neil ^a   Nigjeh, Behzad Keramati ^a   Hasell, Anton ^b  

^a RMIT UNIVERSITY   (Australia)

^b Australian Bell Pty Ltd   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; GEOMETRY; GRADIENT METHODS; HARMONIC ANALYSIS; MATHEMATICAL MODELS; NATURAL FREQUENCIES;

AXIAL RINGS;

BELLS;

SILICON;

ACOUSTICS;

ACOUSTICS; ARTICLE; FINITE ELEMENT ANALYSIS; GEOMETRY; MATHEMATICAL ANALYSIS; MUSIC; PRIORITY JOURNAL; PSYCHOPHYSICS;

EID: 0037490575     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1575748     Document Type: Article

References (23)

1. P. Price, Bells and Man (Oxford University Press, Oxford, 1983).
2. A. Lehr, The Art of the Carillon in the Low Countries (Iannoo, 1991).
3. T. S. Jennings, Master of My Art - The Taylor Bellfoundries 1782-1987 (Taylors Bellfoundry, Loughborough, 1987).
4. A. B. Simpson, "Why Bells Sound Out of Tune," Pall Mall Magazine, October 1895.
5. J. F. Schouten and J. 't Hart, "The Strike Note of Bells," in Acoustics of Bells (Van Nostrand Reinhold, New York, 1984), translated by 't Hart from original publication "De Slagtoon Van Klokken," Neth. Acoust. Soc. Pub. No. 7, 8-19 (1965).
6. N. Fletcher and T. D. Rossing, The Physics of Musical Instruments (Springer, New York, 1990), Chap. 21.
7. R. Pamcutt, Harmony: A Psychoacoustical Approach (Springer, Berlin, 1989), Chap. 5, pp. 85-105.
8. N. McLachlan, "Finite Element Analysis and Gong Acoustics," Acoust. Australia 25(3), 103-107 (1997).
9. R. Perrin and T. Chanley, "The Normal Modes of the Modern English Church Bell," J. Sound Vib. 90, 29-49 (1983).
10. A. Schoofs, F. Van Aspem, P. Maas, and A. Lehr, "A Carillon of Major-Third Bells. I. Computation of Bell Profiles using Structural Optimization," Music Percept. 4(3), 245-254 (1987).
11. J. Tomas, RESHAPE User's Manual, Version 98a (Advea Engineering, Melbourne, 2000).
12. R. L. Fox, Optimization Methods For Engineering Design (Addison-Wesley, Reading, MA, 1971), pp. 196-222.
13. N. McLachlan and B. K. Nigjeh, "Investigations of the Vibrational Behaviour of Cylindrical Forms with Application to Musical Instrument Design," in EMAC 2000 Proceedings (The Institute of Engineers, Australia, 2000), pp. 215-218.
14. H. Fastl and A. Hesse, "Frequency Discrimination for Pure Tones at Short Durations," Acustica 56, 41-47 (1984).
15. W. M. Hartmann, "Pitch, Periodicity, and Auditory Organization," J. Acoust. Soc. Am. 100(6), 3491-3502 (1996).
16. E. Zwicker and H. Fastl, Psycho-acoustics: Facts and Models, 2nd ed. (Springer, New York, 1999), Chap. 7, p. 193.
17. C. Alain, S. R. Amott, and T. W. Picton, "Bottom-Up and Top-Down Influences on Auditory Scene Analysis: Evidence From Event-Related Brain Potentials," J. Exp. Psychol. Hum. Percept. Perform. 27(5), 1072-1089 (2001).
18. E. Zwicker and H. Fastl, Psycho-acoustics: Facts and Models, 2nd ed. (Springer, New York, 1999), Chap. 6, p. 161.
19. N. McLachlan and D. Cabrera, "Calculated Pitch Perceptions for New Musical Bell Designs," in ICMPC7 Conference Proceedings (University of Western Sydney, Sydney) (to be published).
20. E. Terhardt, G. Stoll, and M. Seewann, "Algorithm for Extraction of Pitch and Pitch Salience from Complex Tonal Signals," J. Acoust. Soc. Am. 71(3), 679-688 (1982).
21. W. Hutchinson and L. Knopoff, "The Acoustical Component of Western Consonance," Interface (Netherlands) 7, 1-29 (1978).
22. T. D. Rossing and H. J. Sathoff, "Modes of Vibration and Sound Radiation from Tuned Handbells," J. Acoust. Soc. Am. 68(6), 1600-1607 (1980).
23. To see and hear a wide range of harmonic and other bells see the Australian Bell website, www.ausbell.com