Design and Stress Analysis of Extraterrestrial ... - The Black Vault

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Absolutely flexible membrane
If a flexible plate has negligible riýidity during bend, if is
called a membrane. In practice, these are flexible plates which
have wo/h > 10. Let us examine a membrane having a rigid attachment'
along the internal opening and loaded with pressure p (Fig. 5.61).
A differential steady-state equation for the membrane is
from system (5.102), assuming D = 0:
obtained
(r)''- _Ell62 •0_•pr_2
r22 (5-.112)
The angle of deflection for a section of the tightened i.ermbrane,
with sufficient accuracy, can be expressed as
0 =of. (5.113)
We substitute this value into the first equation of system (5.112)
and integrate it twice.
The integration constants are found from the conditions:
r = a Er = 0; when r = b r =0; we obtain
when
W Cb(i 1).2
2
Substituting the obtained result into the second equation of system
(5.112), we obtain
_-21- where a=-b
and the dependence between load and bend in the center of the mew 1 branes
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