<p>This paper presents a topology optimization framework for designing underwater sound absorption materials, combining the MMC-based topology optimization method with the mixed displacement/pressure finite element method. The key innovation lies in​​ using the explicit MMC approach to achieve clear boundary evolution ​​while maintaining CAD compatibility​​, ​​coupled with​​ the ​​superior​​ accuracy and stability of the mixed finite element method in solving acoustic-solid coupling problems. The optimization focuses on maximizing sound absorption coefficients at specified frequencies, guided by a sensitivity-driven approach​​ to ensure efficient and convergent iterations. Validation studies demonstrate ​​excellent​​ agreement between the mixed finite element method and conventional FEM results. Furthermore, two numerical examples conclusively show​​ the effectiveness of the proposed topology optimization method. These examples confirm significant improvements in sound absorption performance, accompanied by a detailed analysis of the underlying mechanisms. This work establishes​​ the potential of this framework for the efficient and systematic design of advanced underwater sound absorption materials.</p>

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A moving morphable component (MMC)-based topology optimization method for underwater sound absorption materials using a mixed finite element formulation

  • Chen Lu,
  • Wenjiong Chen,
  • Shutian Liu

摘要

This paper presents a topology optimization framework for designing underwater sound absorption materials, combining the MMC-based topology optimization method with the mixed displacement/pressure finite element method. The key innovation lies in​​ using the explicit MMC approach to achieve clear boundary evolution ​​while maintaining CAD compatibility​​, ​​coupled with​​ the ​​superior​​ accuracy and stability of the mixed finite element method in solving acoustic-solid coupling problems. The optimization focuses on maximizing sound absorption coefficients at specified frequencies, guided by a sensitivity-driven approach​​ to ensure efficient and convergent iterations. Validation studies demonstrate ​​excellent​​ agreement between the mixed finite element method and conventional FEM results. Furthermore, two numerical examples conclusively show​​ the effectiveness of the proposed topology optimization method. These examples confirm significant improvements in sound absorption performance, accompanied by a detailed analysis of the underlying mechanisms. This work establishes​​ the potential of this framework for the efficient and systematic design of advanced underwater sound absorption materials.