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About DxG's statements
Consider that for the use under discussion, there is little need for rotation.
As such, other materials could be used in place of a "hinge".
If the hinge is being used in the context of assembly/attachment
of adjacent struts, as demonstrated in the provided example,
the use of lower-cost, mass-produced hinges for this un-intended
application is a clear case of out-of-the-box thinking and design
ingenuity which results in a very elegant solution, as
applied, which addresses the issue of simplifying
assembly/disassembly, and allowing for substituting any panel, at
a later date, with an alternative structure that could
potentially protrude ... or connect with an adjacent dome of
similar structure, all without having to perform "major structural
surgery" to make it happen!
HOWEVER, that design concept did not address what I considered excessive flexibility of hinges in the arrangement that was presented in this example.
where, in my view,
... and maybe, my imagination is working overtime. 🙂
For sure, at frequency of 4ν or less, that joint configuration is likely stable enough.
I would be much less certain or categorical for any configuration using a frequency value between those two.
That is a gut
feeling!
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Charles,
Depending on how big or solid or permanent your structure needs to be, and materials being used, you could consider what is being presented on this site:
Eric
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I'm sorry but, from my perspective, unless you weld the rotary joints into a "locked" rotary position, that hinge is free to move, allowing for un-planned (not unpredictable) rotary motion, resulting from varying tension/compression/vibration "impulses".
Positional "pinning" of struts is not the same as "force-clamping" that a solid plate offers. Using hinges can never replicate the force/torsion transmission that a single-piece solid bolted plate would. But, I recognize that some configurations don't need that extreme solidity, given the low-risk applications where some structural designs are used.It is my gut instinct that tells me, as I stated before, that the
"sensitivity" of the structure is less at lower frequencies, and
greater at higher frequencies. I would not hazard a guess as to
where, specifically, the threshold for categorical "safe zone"
would be, for applying the hinges in that configuration which is
making me "run away in the opposite direction". I leave it to the
experts with more mathematical skill to show the extent to which
those deviations can lead to catastrophic collapse, again
depending on the frequency of the dome's structure.
Eric
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