“Optimization of Natural Frequencies for Fabrication-Aware Shape Modeling” by Hafner, Musialski, Auzinger, Wimmer and Kobbelt
Conference:
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Entry Number: 82
Title:
- Optimization of Natural Frequencies for Fabrication-Aware Shape Modeling
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Abstract:
Keyboard percussion instruments such as xylophones and glockenspiels are composed of an arrangement of bars. These are varied in some of their geometrical properties—typically the length—in order to influence their acoustic behavior. Most instruments in this family do not deviate from simple geometrical shapes, since designing the natural frequency spectrum of complex shapes usually involves a pain-staking trial-and-error process and has been reserved to gifted artisans or professional manufacturers.
In our work, we propose an automatic approach for creating novel instrument designs in a general setting far beyond 2d plates. Our goal is to develop a framework that takes a target shape, a target pitch, and material properties as inputs. With the help of an optimization routine, a 3d solid is then synthesized that matches both the target shape and pitch as closely as possible when fabricated out of the specified material.
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