Definitions of variables. The vectors q1 and q2 define the positions of the massesm1 andm2 of the double pendulum, and m2 sits at the centre of mass of the trunk. The length l is constant and r is variable. The Cartesian basis vectors are ^x and ^y. The angles of the segments with respect to the vertical are given by ᴓ1 and ᴓ2.
The head movement is the visual minds perceived path of travel
Examples of constraint functions: In all of these examples: fr (ᴓ1) = 7=12+1=12tanh(4ᴓ1+2).
(A) Momentum method: f2(ᴓ1) = 1=41=4 tan h (4ᴓ1+2).
(B) Nose over toes: f2(ᴓ1) = 1=21:2 tan h (4ᴓ1+2).
(C) Hip wobble: f2(ᴓ1) = 1=41=4 tan h (4ᴓ1+2)+ : 1 sin (8ᴓ1).
This head movement is the visual minds perceived path of travel
Relevant functions for the three examples of sit-to-stand strategies. Solid line; G(ᴓ1), and dashed line; 1=F(ᴓ 1). Note that here (A) and (C) are easily distinguished. G(ᴓ1) & F(ᴓ 1) are the two functions used in equations to find the constraints of the movement.
For more information in regard to the sit-to-stand movement mapping please see:
Roberts, P., & McCollum, P. (n.d.). Dynamics of the sit-to-stand movement. Portland: Neurological Sciences Institute.
Modelling the seated head path against the action graph
After some very basic Grasshopper commands we have quiet an elegant form
Trying to solve the intersections to limit cad editing for export to the laser cutter
Having major issues creating one solid object rather than two separate objects, issues will arise when sending this to laser cutter after creating contours.
Ok even if I can sort this issue out I have a new problem now after creating contours
A new issue now that has arisen after analysing the resulting contour lines. The problem is that even if the intersecting objects join (at the collision of the two objects), There are points where the inside surface of one object penetrates the outside.
Perhaps this is why rhino won't allow me to create a solid union. I imagine this is probably due to my Grasshopper model (I extruded with a Y constant vector). Yes I could clean these up in AutoCad but to me, the model would no longer be true. . I've been stuffing around with this same problem for over 3hours now as I'm not familiar with either Rhino or Grasshopper. In 3ds Max I would generally shell the object, so maybe I'll strip my model back to basic surfaces and give that ago in Max.
So dwg wouldn't import properly into Max so I tried .stl which worked although as you can see there are still issues in Max shelling the object due to overlap. What's interesting to note from the image below is the difference in performing the same action to the object imported as a .3ds file. It would appear to handle the geometry slightly better in this instance.
So....After exporting the best possible 3ds from Max and creating contours from the resulting shape, I still have two separate objects, my previous overlap issue has been resolved, but now I have a new issue occurring in my corners.
It's been about 4 hours since I started piss farting around with this so I'm going to shoot off an email begging for help then I'm going off to bed. Take care -John
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