Journal article
(Original article)

Tubular bells: A physical and algorithmic model

Publication Details
Author(s): Rabenstein R, Koch T, Popp C
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Publication year: 2010
Volume: 18
Journal issue: 4
Pages range: 881-890
ISSN: 1558-7916


Tubular bells are geometrically simple representatives of three-dimensional vibrating structures. Under certain assumptions, a tubular bell can be modeled as a rectangular plate with different types of homogeneous boundary conditions. Suitable functional transformations with respect to time and space turn the corresponding initial-boundary value problem into a two-dimensional transfer function. An algorithmic model follows according to the functional transformation method in digital sound synthesis. As with simpler vibrating structures (strings, membranes) the synthesis algorithms consist of a parallel arrangement of second-order sections. Their coefficients are obtained by simple analytic expressions directly from the physical parameters of the tubular bell. © 2010 IEEE.

How to cite
APA: Rabenstein, R., Koch, T., & Popp, C. (2010). Tubular bells: A physical and algorithmic model. IEEE Transactions on Audio Speech and Language Processing, 18(4), 881-890.

MLA: Rabenstein, Rudolf, Tilman Koch, and Christian Popp. "Tubular bells: A physical and algorithmic model." IEEE Transactions on Audio Speech and Language Processing 18.4 (2010): 881-890.

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