Numerical Simulation for the Bell Directivity Patterns Determination

• Autorzy: Gołaś A. , Filipek R.
• Języki publikacji: EN

Abstrakty

EN

The analysis of various sound sources is performed on the basis of their directivity patterns. The literature does not contain any information about directivity patterns of bells that are instruments broadly applied to sacral purposes or to create a certain sound space from the aesthetic point of view. The paper presents the methodology of determining the bell directivity patterns by an example of the Russian bell. This example was applied because exact values of geometrical parameters and measuring data of the bell were available. The model was created by means of FEA (finite element analysis). It included a coupling between the bell and its surrounding acoustic medium. During the modal analysis, the first three natural frequencies of the bell were calculated, and then, using the harmonic analysis, the directivity patterns were determined for the frequencies. Afterwards, the transient response of the system in selected measuring points was determined. The obtained results are important for bell-founders and architects because thanks to the knowledge of directivity patterns, the constructions supporting the bells can be designed in a better way and the sound propagation can be determined more precisely. The presented method of auralisation of the bell sound makes the cooperation between the designer and the receiver fairly convenient.

Słowa kluczowe

EN

finite element analysis; FEA; directivity patterns; musical instruments; idiophones; bell

• Wydawca: Instytut Podstawowych Problemów Techniki PAN ; Komitet Akustyki PAN ; Polskie Towarzystwo Akustyczne
• Czasopismo: Archives of Acoustics
• Rocznik: 2009
• Tom: Vol. 34, No. 4
• Strony: 415--427
• Opis fizyczny: Bibliogr. 14 poz., tab., wykr.

Twórcy

autor

Gołaś A.

autor

Filipek R.

• AGH University of Science and Technology Department of Mechanics and Vibroacoustics Mickiewicza 30, 30-059 Kraków, Poland,

Bibliografia

• [1] Fletcher N.H., Rossing T.D., The Physics of Musical Instruments, Springer 1998.
• [2] Zhang Huai Y.Z., Yang ChangChun, Shi YaoLin, Study on excitation of the two-tone acoustic characteristic of the chime bell of Marquis Yi of Zeng by finite element method, Chinese Science Bulletin, 2007.
• [3] Rayleigh Lord, On Bells, The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science, 5 (1890).
• [4] Perrin R., Swallowe G.M., Rayleigh's Bell Model Revisited, Stockholm Music Acoustics Conference, Stockholm, Sweden 2003.
• [5] Lehr A., The designing of swinging bells and carillon bells in the past and present, Athanasius Foundation Asten 1987.
• [6] http://www.ausbell.com/.
• [7] McLachlan N.M., Hasell A.G., Bells. USPatent, Ed. 2005.
• [8] www.russianbells.com.
• [9] Kaminski J., Kolokol: Spectres of the Russian Bell, PhD. Thesis, University of Technology, Sydney 2006.
• [10] Fletcher N.H., The nonlinear physics of musical instruments, Rep. Prog. Phys., 62, 723-764 (1999).
• [11] Sankiewicz M., Budzynski G., Analizy dźwięku najwiekszych dzwonów w Polsce, Otwarte Seminarium z Akustyki OSA'96, Ustron 1996.
• [12] Filipek R., Wiciak J., Active and passive structural acoustic control of the smart beam, The European Physical Journal - Special Topics., 154, (1), 57-63 (2008).
• [13] Theory Reference (Release 11.0 Documentation for ANSYS).
• [14] Gołas A., Suder-Debska K., Filipek R., The influence of sound source directivity on acoustics parameters distribution in Kraków Opera Hall, Acta Physica Polonica B (in review).