Optimal undercuts for the tuning of percussive beams

Journal of the Acoustical Society of America

Volumn 102, Issue 4, 1997, Pages 2432-2437

  Petrolito, J ^a   Legge, K A ^a  

^a LA TROBE UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ACCURACY; ARTICLE; CALCULATION; PHYSICAL EXAMINATION; PREDICTION; PRIORITY JOURNAL; SHEAR RATE; TUNING CURVE;

EID: 0030825820     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.419625     Document Type: Article

References (12)

1. N. H. Fletcher and T. D. Rossing, The Physics of Musical Instruments (Springer-Verlag, New York, 1991).
2. I. Bork, "Zur Abstimmung und Kopplung von Schwingenden Stäben und Hohlraumresonatoren," dissertation, Tech. Univ. Carolo-Wilhelmina, Braunschweig, 1983.
3. I. Bork and J. Meyer, "On the tonal evaluation of xylophones," Percussive Notes 23, 48-57 (1985).
4. I. Bork, "Practical tuning of xylophone bars and resonators," Appl. Acoust. 46, 103-127 (1995).
5. F. Orduna-Bustamante, "Nonuniform beams with harmonically related overtones for use in percussion instruments," J. Acoust. Soc. Am. 90, 2935-2941 (1991).
6. I. R. Summers, S. Elsworth, and R. Knight, "Transverse vibrational modes of a simple undercut beam: An investigation of overtone tuning for keyed percussion instruments," Acoust. Lett. 17, 66-70 (1993).
7. J. Petrolito and K. A. Legge, "Optimizing the xylophone: A numerical approach," Proceedings of the Computational Techniques and Applications Conference, CTAC95, 625-630 (1996).
8. C. L. Dym and I. H. Shames, Solid Mechanics: A Variational Approach (McGraw-Hill, New York, 1973).
9. M. S. Bazaraa, H. D. Sherali, and C. M. Shetty, Nonlinear Programming: Theory and Algorithms (Wiley, New York, 1993), 2nd ed.
10. D. Kraft, A Software Package for Sequential Quadratic Programming, DFVLRFB 88-28, Köln, Germany.
11. J. S. Przemieniecki, Theory of Matrix Structural Analysis (McGraw-Hill, New York, 1968).
12. R. D. Cook, D. S. Malkus, and M. E. Plesha, Concepts and Applications of Finite Element Analysis (Wiley, New York, 1989), 3rd ed.