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Greg and Bbird, First I want to thank you for all your explanations. I am exactly trying to predict the third natural mode of a one meter long steel cylinder. The idea is to build an analytical model to understand the impact on the frequential responses of each parameter:boundary conditions...

Sorry for the mistakes, indeed: fn=A/(2*pi*L^2)*sqrt(E*I/m) I= 6.87 E-6(m^4) thickness= 18 mm In this case, f1=361Hz, f2=1448Hz and f3=3259Hz; The only result I know from FEA is f3=4560Hz. I doubt that the beam vibration theory is reliable in this case and that is why I'm looking for other...

Thanks Greg, Indeed, I think that the cylinder is not enough slender to be considered as a beam (L=880mm, Diam ext.=116mm, Thickness=17). With a E= 2E11 N/m^2, I= 6.87 E-4(m^4) m= 43.22 (kg/m), I found 3260Hz for the third mode of natural frequency altough the FEA gives 4560Hz (which I didn't...

Hi there, I'm a petroleum engineer in France and am looking for a good analytical model for vibrations in hollow cylinder simply supported. First I tried to consider the cylinder as a beam and use the blevins formulas to compute natural frequencies: f = [A(2*pi*L^2)]*sqrt(E*I/m) where: A=...