Grasshopper

algorithmic modeling for Rhino

Hi Everyone-

I'm interested in running an analysis on a solid wood panel (4'w x 8'h x 9.5"d) and would like some input if I'm using the correct method or even if should look to another program.

From what I have been able to pick up from the manual, I have created two outputs in the attached. 

The first (left in image) - is a model that is created out of a wireframe that then has cros sections applied to each linear element. 

The second (right in image)  - is a model that is created as one cross section of a trapezoid with the height and width at the settings of the ideal panel.

What I would really appreciate some help with would be how to create a filled trapezoid panel (as the one I have developed is hollow) to correctly represent solid wood and then how to output a nodal frame that expresses the deformation of the solid but as a wireframe. 

Any suggestions would help!

Thanks

Mary 

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Dear m_pol,

what physical effect do you want to model? 

Best,

Clemens

Hi Clemens-

I would like to model the way internal stresses would build up in the wood panel under different loading conditions. The output I'm hoping to get from this are color gradients of axial/displacement stresses. 

If you could let me know if you think- as a start- it is correct to use the trapezoid cross section for a solid wood wall panel of this size, that would help too. I have my doubts on it....

Thanks!

Mary

Here are some rough diagrams
of different outputs I'm trying to reach under different loads. 

You can achieve results like those sketched above using shell elements. What you currently can not model with Karamba is the fact that wood has different mechanical properties (i.e. stiffness) along and perpendicular to its fibers.

Maybe this helps a little bit: Setting G=E/2 decouples longitudinal and lateral strains. 

Best,

Clemens

Hi Mary,

using a beam elements will always result in a linear stress distribution over the cross section. Karamba includes shear deformation according to the Hellinger-Reissner principle. This is sufficient for beams where the ratio between cross section height and distance between points of zero moment is larger than say two. For a more refined analysis (e.g. in the vicinity of connection details) you would have to use shells or solids.

Best,

Clemens

Hi Clemens- 

Thank you for these replies- I will adjust the testing to match what better suits the program.

-Mary

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