title: Systematic design of phononic band-gap materials and structures by topology optimization.
abstract: Phononic band-gap materials prevent elastic waves in certain frequency ranges from propagating, and they may therefore be used to generate frequency filters, as beam splitters, as sound or vibration protection devices, or as waveguides. In this work we show how topology optimization can be used to design and optimize periodic materials and structures exhibiting phononic band gaps. Firstly, we optimize infinitely periodic band-gap materials by maximizing the relative size of the band gaps. Then, finite structures subjected to periodic loading are optimized in order to either minimize the structural response along boundaries (wave damping) or maximize the response at certain boundary locations (waveguiding).
authors.affiliation: Department of Mechanical Engineering, Section for Solid Mechanics, Nils Koppels Allée Building 404, 2800 Kgs. Lyngby, Denmark.
authors.forename: Ole
authors.initials: O
authors.lastname: Sigmund
authors.forename: Jakob Søndergaard
authors.initials: JS
authors.lastname: Jensen
mesh_terms: D000162:Acoustics / Q000295:instrumentation; D003198:Computer Simulation; D017076:Computer-Aided Design; D055590:Electromagnetic Phenomena / Q000295:instrumentation / Q000379:methods; D008420:Manufactured Materials; D008422:Materials Testing / Q000379:methods*; D008962:Models, Theoretical