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What is a formula for estimating the axial resonance of a metal column?
I am concerned to estimate the axial resonance of a vibration shaker driving a slip plate in a test lab.
Well I dont' think you're going to get that done with a single formula.
I'd first calculate a spring constant for the column in the axial direction. Based on the Stress/strain.
Then I'd use the forced vibration formulas to check the amplitude of the for forced vibration at the frequency or range that the shaker operates.
You will also need to include the mass of the column and whatever it is supporting.
Next I'd use the stress/strain developed above to determine what stress level would be equal to the calculated amplitude of the vibration. Be Careful. I'd say call a structural engineer but most I know aren't very good at harmonics. There is some mechanical engineering software used to design machines that can do the calculations for you. Sorry I don't know what it's called.
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