Two-dimensional poroelastic acoustical foam shape design for absorption coefficient maximization by topology optimization method.
Optimal shape design of a two-dimensional poroelastic acoustical foam is formulated as a topology optimization problem. For a poroelastic acoustical system consisting of an air region and a poroelastic foam region, two different physical regions are continuously changed in an iterative design process. To automatically account for the moving interfaces between two regions, we propose a new unified model to analyze the whole poroelastic acoustical foam system with one set of governing equations; Biot's equations are modified with a material property interpolation from a topology optimization method. With the unified analysis model, we carry out two-dimensional optimal shape design of a poroelastic acoustical foam by a gradient-based topology optimization setting. The specific objective is the maximization of the absorption coefficient in low and middle ranges of frequencies with different amounts of a poroelastic material. The performances of the obtained shapes are compared with those of well-known wedge shapes, and the improvement of absorption is physically interpreted.
Lee
Joong Seok
JS
National Creative Research Initiatives Multiscale Design Center, School of Mechanical and Aerospace Engineering, Seoul National University, Shinlim-Dong San 56-1, Kwanak-Gu, Seoul 151-742, Korea.
Kim
Yoon Young
YY
Kim
Jung Soo
JS
Kang
Yeon June
YJ