Dynamic prediction method and system for initiation volume of debris flow slope source
US-12106020-B2 · Oct 1, 2024 · US
US12288015B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-12288015-B2 |
| Application number | US-202117480996-A |
| Country | US |
| Kind code | B2 |
| Filing date | Sep 21, 2021 |
| Priority date | Sep 28, 2020 |
| Publication date | Apr 29, 2025 |
| Grant date | Apr 29, 2025 |
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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.
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The invention claimed is: 1. A hybrid method of designing an internal structure of a foamed resin sound absorbing material, the method comprising: setting a microscopic structure model with a periodic and homogeneous structure equivalent to the internal structure of the foamed resin sound absorbing material; calculating a value of an acoustic characteristic by homogenization for each of a plurality of values for a parameter of the microscopic structure model, each of the plurality of values for the parameter of the microscopic structure model being sampled within a range of designing the foamed resin sound absorbing material; identifying a relational expression between a Biot's parameter of the foamed resin sound absorbing material and the parameter of the microscopic structure model based on the values of the acoustic characteristic calculated; setting a target acoustic characteristic that is a design target of the foamed resin sound absorbing material; identifying a value of the Biot's parameter for achieving the target acoustic characteristic set, by Biot's modeling; identifying, by a processor, a value of the parameter of the microscopic structure model corresponding to the value of the Biot's parameter identified to reduce calculation load of the designing target internal structure of the foamed resin sound absorbing material, using the relational expression; and identifying the design of the target internal structure with the identified value of the parameter of the microscopic structure model corresponding to the value of the Biot's parameter identified, wherein the relational expression between the Biot's parameter and the parameter of the microscopic structure model includes: α ∞ = 1 . 4 3 - 0 .43 φ σ = 3.88 × 10 - 3 w f - 2 ( 1 - φ ) 0.355 [ Pa · s / m 2 ] Λ = 0 . 0 9 4 w f ( 1 - φ ) - 0.359 [ m ] Λ ′ = 0.38 3 w f ( 1 - φ ) - 0.149 [ m ] E = 2 ( 1 - φ ) 2 3 ( 1.9 - 0.9 φ ) E 0 [ Pa ] v = φ 2 ( 2 - φ ) where α∞ is a tortuosity, Λ is a viscous characteristic length, φ is a porosity, Λ′ is a thermal characteristic length, σ is an airflow resistivity, E is an apparent Young's modulus, w f is a cell size, E 0 is a Young's modulus of a material, and ν is a Poisson's ratio. 2. The method o
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