[Zurück]

P. Musialski, C. Hafner, T. Auzinger, M. Wimmer, L. Kobbelt:
"Optimization of Natural Frequencies for Fabrication-Aware Shape Modeling";
Poster: ACM Siggraph, Los Angeles, CA, USA (eingeladen); 09.08.2015 - 13.08.2015; in: "acm", Proceedings of ACM SIGGRAPH 2015 Posters, (2015), S. 1 - 4.

Given a target shape and a target frequency, we automatically synthesize a shape that exhibits this frequency as part of its natural spectrum, while resembling the target shape as closely as possible. We employ finite element modal analysis with thin-shell elements to accurately predict the acoustic behavior of 3d solids. Our optimization pipeline uses an input surface and automatically calculates an inner offset surface to describe a volumetric solid. The solid exhibits a sound with the desired pitch if fabricated from the targeted material. In order to validate our framework, we optimize the shape of a tin bell to exhibit a sound at 1760 Hz. We fabricate the bell by casting it from a mold and measure the frequency peaks in its natural ringing sound. The measured pitch agrees with our simulation to an accuracy of 2.5%. In contrast to previous method, we only use reference material parameters and require no manual tuning.

natural frequencies, modal analysis, shape optimization

http://publik.tuwien.ac.at/files/PubDat_239479.pdf