Speed of sound through a plate

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Discussion Overview

The discussion centers around the formulas for the transverse and longitudinal velocities of sound through a rectangular plate, with a focus on the context of sound transmission loss through materials. Participants seek clarification on the relevant equations and the properties of the materials involved.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant requests formulas for the transverse and longitudinal velocities of sound through a rectangular plate.
  • Another participant questions the material composition of the plate, suggesting that specific numbers may be needed rather than just formulas.
  • A participant provides formulas for longitudinal and transverse (bending) velocities, referencing Young's modulus, Poisson's ratio, and density, but expresses uncertainty about their correctness.
  • There is mention of needing these velocities to calculate sound transmission loss through a plate, indicating a practical application of the formulas.
  • A later reply highlights that most available information pertains to longitudinal velocity and expresses confusion regarding the calculation of transverse or bending wave velocity.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the formulas or the context, as there is uncertainty about the correctness of the provided equations and the specific material properties needed for accurate calculations.

Contextual Notes

There are limitations regarding the assumptions about material properties and the specific context in which the formulas apply, as well as unresolved questions about the transverse wave calculations.

saurabh_2110
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Speed of sound through a plate!

Hi,

I wanted to know the formula for the transverse velocity and longitudinal velocity of sound through a rectangular plate.
Any help will be greatly appreciated!..

Thanks
 
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saurabh_2110 said:
Hi,

I wanted to know the formula for the transverse velocity and longitudinal velocity of sound through a rectangular plate.
Any help will be greatly appreciated!..

Thanks

What is the context? And what do you mean by transverse and longitudinal velocity?
 


What is the plate made of? Seems like you're looking for numbers, not formulas.
 


Well the plate could be made of any material. It would use the Young's modulus, poisson's ratio and density. I have some formulas but I am not sure about them

Longitudnal = sqrt(E/(rho*(1-nu^2)))
Transverse (Bending) = ((2*pi*f)^2*B/rho/h)^(1/4)

where, E = Young's Modulus,
rho = density;
nu = poisson's ratio
f = frequency
B = Bending stiffness of plate

The context is that, I need these velocities to find sound transmission loss through a plate. These formulas weren't stated very explicitly, so I'm not quite sure...
Any help will be greatly appreciated!
 


saurabh_2110 said:
Well the plate could be made of any material. It would use the Young's modulus, poisson's ratio and density. I have some formulas but I am not sure about them

Longitudnal = sqrt(E/(rho*(1-nu^2)))
Transverse (Bending) = ((2*pi*f)^2*B/rho/h)^(1/4)

where, E = Young's Modulus,
rho = density;
nu = poisson's ratio
f = frequency
B = Bending stiffness of plate

The context is that, I need these velocities to find sound transmission loss through a plate. These formulas weren't stated very explicitly, so I'm not quite sure...
Any help will be greatly appreciated!

I googled speed of sound in solids, and got some pretty good hits. Check out the hit list to see if these are any help:

http://www.google.com/search?source...LL_enUS301US302&q=velocity+of+sound+in+solids

.
 


Thanks berkeman...but most of this is with reference to longitudinal velocity. The usual way is to divide the bulk modulus by the density and then take its square root...
But for the transverse or bending wave velocity??..Im still a little confused...
 

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