Foamed Resin Acoustic Structure Design With Biot-Homogenization Mapping
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Solution Overview
Problem
Existing methods for designing foamed resin sound absorbing materials are inefficient due to high calculation loads in homogenization and inability to handle microscopic structures in Biot's modeling.
Innovation Solution
A hybrid method combining homogenization and Biot's modeling, where a microscopic structure model with a periodic and homogeneous structure is set, acoustic characteristics are calculated by homogenization, relational expressions between Biot's parameters and the model are identified, and target acoustic characteristics are achieved by Biot's modeling.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If homogenization is used to calculate acoustic characteristics from microscopic structure, then prediction accuracy is improved, but calculation time increases
Solution Approach 1:
The patent pre-calculates acoustic characteristics for multiple microscopic structure models using homogenization before actual design work begins. These pre-calculated results are stored in a database, allowing rapid retrieval during the design phase without performing time-consuming homogenization calculations in real-time.
Solution Approach 2:
The patent creates a database that stores copies of pre-calculated acoustic characteristics corresponding to various microscopic structure models. During design, instead of recalculating from scratch, the system retrieves copied data from the database that matches the target acoustic characteristics, significantly reducing calculation time while maintaining accuracy.
2Productivity
If Biot's modeling is used to calculate acoustic characteristics, then calculation cost is reduced, but ability to handle microscopic structure is lost
Solution Approach 1:
The patent introduces a database as an intermediary between Biot's modeling and microscopic structure analysis. The database stores the relationship between microscopic structure models and their acoustic characteristics, allowing Biot's modeling to efficiently query pre-analyzed data without directly handling complex microscopic structure calculations.
Solution Approach 2:
The patent separates the analysis into two independent parts: microscopic structure modeling (stored in database) and acoustic characteristic calculation (performed by Biot's modeling). This segmentation allows each part to be optimized independently - homogenization handles the complex microscopic analysis once, while Biot's modeling handles rapid acoustic calculations thereafter.
3Productivity
If only Biot's modeling is used for design, then calculation cost is reduced, but design accuracy for target acoustic characteristics deteriorates
Solution Approach 1:
The patent retrieves pre-calculated acoustic characteristic data from the database that corresponds to various microscopic structure models. By copying and comparing these pre-analyzed results against target acoustic characteristics, the system achieves accurate design matching without performing time-consuming homogenization calculations during the design iteration process.
Solution Approach 2:
The patent performs comprehensive acoustic characteristic analysis for multiple microscopic structure models in advance and stores these results in the database. This preliminary action ensures that when design targets are set, accurate reference data is already available for comparison and selection, eliminating the need for repeated expensive calculations.
Data Source
AI summary
A method of designing an internal structure of a foamed resin sound absorbing material includes: setting a microscopic structure model with a structure equivalent to the internal structure of the foamed resin sound absorbing material; calculating an acoustic characteristic by homogenization for each of a plurality of microscopic structure models, each being the microscopic structure model; identifying a relational expression between a Biot's parameter of the foamed resin sound absorbing material and the microscopic structure model; setting a target acoustic characteristic; identifying a Biot's parameter for achieving the target acoustic characteristic set, by Biot's modeling; and identifying a microscopic structure model corresponding to the Biot's parameter identified.