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Verification for impedance boundary Calculations

    • ankit.ghosh
      Subscriber

      A noise analysis is to be conducted within the engine room of a small craft, where the air inside the engine room is modeled using solid elements for a purely acoustic analysis. Given that the room is enclosed by steel, an impedance boundary condition is applied to all exposed surfaces. In order to define an impedance boundary in ANSYS, both resistive and reactive components are required. However, there are no suitable resources available to calculate these components. The calculations we have conducted are based on the fundamental principles of acoustic theory. Could you kindly verify and correct them?

      Also, guide on " How can I verify and validate the results of my acoustic analysis? Are there any resources available to help perform hand calculations?"

       

      Medium 1 - air

       

       

       

       

       

       

       

       

       

      Density of air

      ρa

      1.225

      kg/m3

       

      Speed of sound in air

      Ca

      330

      m/s

       

      Impedance of Air

      Za = ρa * Ca

      404.25

      kg/m2s

       

       

       

       

       

       

      Medium 2 - steel

       

       

       

       

       

       

       

       

       

      Density of steel

      ρs

      7750

      kg/m3

       

      Speed of sound in steel

      Cs

      5000

      m/s

       

      Impedance of steel

      Zs = ρ* Cs

      38750000

      kg/m2s

       

       

       

       

       

       

      Absorption coefficient

      α

      0.66

       

      For steel

       

       

       

       

       

      Reflection

      R

      0.9999

       

       

      Transmission

      T

      4.17282E-05

       

       

       

       

       

       

       

      Resistive Component

      Zr = Zs / α

      58712121.21

      kg/m2s

       

       

       

      58.712

      kg/mm2s

       

      Reactive Component

      Za

      404.25

      kg/m2s

       

       

       

      0.00040425

      kg/mm2s

       

       



    • Federico
      Ansys Employee

      Hello, 

      results shown in yellow appear correct to me, except Transmission which differs by a factor of 2 from my results 
      Z = rho*c

      R = (Z1-Z2)/(Z1+Z2)

      T = 2Z1/(Z1+Z2)

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