Diaphragm deflection 1

[Pras]

Hi,
I need to know the formula for calculating deflection of corrugated (concentrically) diaphragms under application of pressure. If I am not mistaken, this formula is obtained by modifying the deflection formula for flat diaphragms, wherein the effect of corrugation is taken care by introducing a 'reduction coefficient Kred'.

Could anyone help me on this please.

Thanks,

Pras

 

[prex]

Timoshenko's Theory of Plates and Shells has a formula for that (page 404 2nd ed.).
It comes from the theory of large deformations and is non linear.
Here is the formula:

8(w[sub]0[/sub]/h)[2/3/(1-&[ignore]nu[/ignore];[sup]2[/sup])+(f/h)[sup]2[/sup]]+6(w[sub]0[/sub]/h)[sup]3[/sup]/7=q(a/h)[sup]4[/sup]/E

It is valid for more than 5 corrugations with sinusoidal shape.
w[sub]0[/sub]=center deflection
h=thickness
f=(half)wave amplitude of corrugations
q=pressure
&[ignore]nu[/ignore];=Poisson's ratio
a=plate radius
E=elastic modulus


prex

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