A vibrating column with a critical load exerted on it

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The discussion centers on the relationship between critical load and forced vibration in a vibrating column. Participants question whether the critical load decreases due to the effects of forced vibration, with initial intuition suggesting a reduction. The conversation emphasizes the need for analytical methods to demonstrate this relationship. Clarification is sought regarding whether the critical load in question pertains to buckling. A mechanism for analysis is suggested as a starting point for further exploration.
urocissa
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I was wondering the critical load vary as a result of forced vibration?
Intuitionally, I thought the critical load reduced.
But how to show it analytically, Any idea?
 
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Are you referring to the critical load for buckling? Why would the critical load be reduced? Once you have a mechanism in mind, you can start analyzing it.
 

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