Solid-perforated panel layout optimization by topology optimization based on unified transfer matrix.

Area of Science:

• Acoustics
• Materials Science
• Numerical Optimization

Background:

• Optimizing layered materials for acoustic performance is challenging due to differing layer properties.
• Existing interpolation techniques struggle with the distinct acoustic behaviors of solid panels, perforated panels, and air gaps.

Purpose of the Study:

• To develop a numerical method for optimizing the sequencing and thickness of acoustic layers.
• To maximize sound transmission loss and sound absorption through novel optimization formulations.

Main Methods:

• A topology optimization approach is employed for material sequencing and thickness design.
• A unified transfer matrix method is proposed to handle the interpolation of disparate acoustic layer properties.
• The method ensures interpolated elements represent air, perforated, and solid panel layers accurately.

Main Results:

• The developed method successfully addresses interpolation challenges in acoustic layer design.
• Benchmark problems for maximizing sound transmission and absorption were solved efficiently.
• The numerical method demonstrates effectiveness in optimizing complex layered acoustic structures.

Conclusions:

• The proposed unified transfer matrix method offers an efficient solution for acoustic material optimization.
• This approach enables the design of advanced layered materials with superior soundproofing capabilities.
• The method provides a robust framework for maximizing sound transmission loss and absorption in engineered structures.