Attached an attempt at this for the interested reader.
Buckling and Free Vibrations (without integrals or matrices)
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Buckling and Free Vibrations (without integrals or matrices)
An interesting challenge from Bernd (https://forum.freecadweb.org/viewtopic. ... 20#p319473) ...
Re: Buckling and Free Vibrations (without integrals or matrices)
Nice one! Thanks @HarryvL!