Improvements in Studies on Optimization of Parameters Governing the Harmonicity of Membranes of Tabla

ISBN: 9781713835165

Authors: Vijay Dubey, I.R. Praveen Krishna,

Abstract: Many of the classical Indian percussion instruments result in harmonic tones. This behavior is markedly different from what is expected of a simple circular membrane stretched over a cavity. The cause of such behavior has in part been attributed to the unique construction of the membrane adopted. A widely studied instrument in such regard is Tabla, where the membrane is loaded with paste in the center. The drivers of harmonicity are the choice of materials used for loading, the material of membrane, eccentricity of the applied load as well as the spread and smoothness thereof. Mathematical modelling of such membranes has been part of continuous improvements with multiple studies exploring the parameters which will result in maximally harmonic vibrations of the drum. In the present work, optimization studies were performed using algorithms like Constrained Optimization by Linear Approximations (COBYLA), Dividing Rectangles (DIRECT), Controlled Random Search (CRS) and Improved Stochastic Ranking Evolution Strategy (ISRES) to explore the design space to achieve maximally harmonic vibrations. The algorithms are gradient free search methods of global or local type. Improvements were also made in the formulation of methodology used to search the design space. Such improvements have resulted in obtaining construction parameters which will result in more harmonic tones than previously reported.

Keywords: Optimization, Harmonic, Tabla, Pseudospectral

How to Cite

@inproceedings{dubey_improvements_2021,
	title = {Improvements in {Studies} on {Optimization} of {Parameters} {Governing} the {Harmonicity} of {Membranes} of {Tabla}},
	copyright = {All rights reserved},
	isbn = {9781713835165},
	url = {https://www.icsv27.org/index.php?va=viewpage&vaid=175},
	booktitle = {27th {International} {Congress} on {Sound} and {Vibration} 2021 ({ICSV27})},
	publisher = {International Institute of Acoustics and Vibration},
	author = {Dubey, Vijay and Krishna, Praveen},
	month = jul,
	year = {2021},
	pages = {4305},
}