Deal All
I take the liberty in asking to Scilab community some advices, especially to mechanical specialists. In an optimization process, I would like to model with Scilab the natural frequencies of a beam following 2 configurations (see sketch hereafter) using either Euler-Bernoulli or Timoshenko theory. We can found in the literature (Blevins book and Timoshenko one among others) some particular cases, I've not found any solution for that configuration: does somebody hear something about it ? NB: - An analytical solution will be great ; indeed solving by hand the 4th order derivative seems to be quite difficult - If not, the numerical approach using Scilab will be the only one solution - Ultimately, I can use Finite Elements method (or even code it directly in Scilab), but it's not the goal . and it's much less elegant - I'm currently working on test cases based on "basic" boundary conditions as described in the literature to validate the methodology - I'm sure such method could be extended to industrial (simplified but accurate) studies a) /| P /| ||||||||||||||| /|--------------------------------------------------- where P is a linear force or pressure (not along all the beam) /| /| Or b) /| sliding /|---------------------===------------------------- bean can slide following its axis /| Have a good WE Paul
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