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Diaphragm deflection

Diaphragm deflection

Diaphragm deflection

(OP)
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   

RE: Diaphragm deflection

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(w0/h)[2/3/(1-ν2)+(f/h)2]+6(w0/h)3/7=q(a/h)4/E

It is valid for more than 5 corrugations with sinusoidal shape.
w0=center deflection
h=thickness
f=(half)wave amplitude of corrugations
q=pressure
ν=Poisson's ratio
a=plate radius
E=elastic modulus

prex

http://www.xcalcs.com
Online tools for structural design

See http://www.xcalcs.com/docs/symbolinfo.htm if you want to use symbols on these fora

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