Harmonic Drum Design Based on Multi-Objective Shape Optimization

Szwajcowski A, Pilch A. Harmonic Drum Design Based on Multi-Objective Shape Optimization. In: AES Convention 145. Audio Engineering Society; 2018. Paper 10092. Available from: https://aes.org/publications/elibrary-page/?id=19818

@inproceedings{Szwajcowski2018_19818,
  author = {Szwajcowski, Adam and Pilch, Adam},
  title = {{Harmonic Drum Design Based on Multi-Objective Shape Optimization}},
  booktitle = {AES Convention 145},
  note = {Paper 10092},
  year = {2018},
  month = oct,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=19818}
}

TY  - CPAPER
TI  - Harmonic Drum Design Based on Multi-Objective Shape Optimization
AU  - Szwajcowski, Adam
AU  - Pilch, Adam
T2  - AES Convention 145
M1  - Paper 10092
PY  - 2018
DA  - 2018/10/06
UR  - https://aes.org/publications/elibrary-page/?id=19818
PB  - Audio Engineering Society
LA  - en
AB  - A vast majority of drums used in music have round membranes. Sound produced by such an instrument is non-harmonic, so one cannot perceive its pitch clearly. The paper aims to present possibilities of fusing additive synthesis and multi-objective optimization in order to find the relatively simple shape for which a membrane could produce harmonic sound. The proposed approach is based on Multi-Objective Particle Swarm Optimization and uses an original shape parametrization method based on Fourier series. Harmonicity of a drum was assessed based on additive synthesis using solutions of two-dimensional Helmholtz equation on irregular domains by means of the ?nite difference method.
ER  -