Homogenization-based interval analysis for structural-acoustic problem involving periodical composites and...

Area of Science:

• Computational Mechanics
• Structural Acoustics
• Materials Science

Background:

• Coupled structural-acoustic systems with periodic composites present challenges due to multi-scale, uncertain parameters.
• Traditional methods struggle to accurately model the complex behavior of these heterogeneous materials.
• Accurate prediction is crucial for designing efficient and reliable systems in automotive and aerospace applications.

Purpose of the Study:

• To develop a novel homogenization-based interval finite element method (HIFEM) for analyzing structural-acoustic systems.
• To address the challenge of multi-scale uncertain-but-bounded parameters in periodically composite structures.
• To enhance the accuracy and efficiency of predictions for complex structural-acoustic behaviors.

Main Methods:

• Utilized a homogenization method to compute equivalent macro material properties from periodic microstructures.
• Integrated first-order Taylor expansion interval analysis with homogenization-based finite element analysis.
• Introduced a subinterval technique within the HIFEM framework to improve computational accuracy.

Main Results:

• Successfully developed and formulated the homogenization-based interval finite element method (HIFEM).
• Demonstrated the method's efficiency in predicting the behavior of periodical composite structural-acoustic systems.
• Validated the approach through numerical examples of a hexahedral box and an automobile passenger compartment.

Conclusions:

• The proposed HIFEM effectively handles multi-scale uncertain-but-bounded parameters in periodic composite structural-acoustic systems.
• The method provides accurate predictions, outperforming traditional approaches for complex material behaviors.
• HIFEM offers a robust tool for the analysis and design of advanced structural-acoustic applications.