Design optimization of acoustic metamaterials and phononic crystals with a time domain method

A time-dependent adjoint approach for obtaining sensitivity derivatives for shape optimizations of acoustic metamaterials and phononic crystals is presented. The gradient-based design procedure is suitable for large numbers of design variables, and results are shown on achieving effective material properties with a unit cell and the broadband noise reduction with periodic arrays of cylinders. The acoustic wave propagation problem is solved in the time-domain using a Streamline Upwind/Petrov Galerkin formulation. Topology parameterization is accomplished using the homogenization method, and shape optimization is subsequently used afterwards to refine the geometries. Surface parameterization is accomplished using control grids, which are based on a Laplace equation. The combined strategy is compared with penalty-based topology optimization. Furthermore, the proposed topology optimization is also conducted on the design of a broadband acoustic cloaking device.

Grantor dc:publisher

University of Tennessee at Chattanooga

Author dc:creator

• Lin, Weiyang

Contributors dc:contributor

• Newman, James C., III
• Anderson, W. Kyle; Sreenivas, Kidambi; Webster, Robert S.; Belinskiy, Boris
• College of Engineering and Computer Science

• Broadband communication systems
• Computer simulation

Licence

• https://rightsstatements.org/page/InC/1.0/?language=en

Language dc:language

English, eng

Repository record dc:identifier

https://scholar.utc.edu/theses/489

OAI identifier oai:identifier

oai:scholar.utc.edu:theses-1634