Design and Additive Manufacturing of 3D Phononic Band Gap Structures Based on Gradient Based Optimization

Wormser M, Wein F, Stingl M, Körner C (2017)

Publication Language: English

Publication Type: Journal article

Publication year: 2017

Journal

Materials MDPI

Book Volume: 10

Journal Issue: 10

DOI: 10.3390/ma10101125

Abstract

We present a novel approach for gradient based maximization of phononic band gaps. The approach is a geometry projection method combining parametric shape optimization with density based topology optimization. By this approach, we obtain, in a two dimension setting, cellular structures exhibiting relative and normalized band gaps of more than 8 and 1.6, respectively. The controlling parameter is the minimal strut size, which also corresponds with the obtained stiffness of the structure. The resulting design principle is manually interpreted into a three dimensional structure from which cellular metal samples are fabricated by selective electron beam melting. Frequency response diagrams experimentally verify the numerically determined phononic band gaps of the structures. The resulting structures have band gaps down to the audible frequency range, qualifying the structures for an application in noise isolation.

Authors with CRIS profile

Maximilian Wormser Lehrstuhl für Werkstoffwissenschaften (Werkstoffkunde und Technologie der Metalle) (WTM) Fabian Wein Lehrstuhl für Angewandte Mathematik Michael Stingl Lehrstuhl für Angewandte Mathematik (Kontinuierliche Optimierung) Carolin Körner Lehrstuhl für Werkstoffwissenschaften (Werkstoffkunde und Technologie der Metalle) (WTM)

Additional Organisation(s)

Exzellenz-Cluster Engineering of Advanced Materials (EAM)

Related research project(s)

Activity Cellular mechanical metamaterials Jan. 1, 2005 - Jan. 1, 2008

How to cite

APA:

Wormser, M., Wein, F., Stingl, M., & Körner, C. (2017). Design and Additive Manufacturing of 3D Phononic Band Gap Structures Based on Gradient Based Optimization. Materials, 10(10). https://doi.org/10.3390/ma10101125

MLA:

Wormser, Maximilian, et al. "Design and Additive Manufacturing of 3D Phononic Band Gap Structures Based on Gradient Based Optimization." Materials 10.10 (2017).

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