[Scilab-users] advices from the Scilab community in mechanical (vibration) engineering field

[Paul Carrico]

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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