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If you know the natural frequency and the mass of the load and beam... k=Wn^2*m (where k=stiffness, Wn=natural frequency, m=total mass) If the beam's mass is not negligable then the total mass is... m= m(load)+1/4m(beam) I'm wondering if this link might help you ;-) http://www.vibrationdata.com/StructuralDC.htm Here is a paper that solves a problem by studying the Cantilever Beam. A few pages into this paper, it has the mathmetical expressions for its the first 3 vibration modes and frequencies. http://faculty.uml.edu/pavitabile/22.403/web_downloads/Final_Project_Cantilever_101806.pdf One more link: http://www.kxcad.net/RecurDyn/RecurDyn_Ver6.3/programmanual/Eigenvalue_Analysis/Application/Cantilever_Beam/Cantilever_Beam.htm

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15y ago
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15y ago

Your first lesson on parametric resonance might begin by using the link provided.

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Q: What is the equation for the natural frequency of a cantilever beam?
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