[Plugin] Simple Catenary Curve

kwistenbiebel

Hi remus, that's a wonderful idea.(Didn't know the term Catenary though).
By the way, could multiple Catenary curves define a tensile structure?

remus

You probably could, but i dont think it would be physically accurate. Catenary curves only describe lines with no forces (other than gravity) acting along their length.

I know that in simple cases like a suspension bridge the curve is a parabola, but i dont know if this would still be true for more complicated tensile structures.

Gaieus

@remus said:

Doubled checked on wikipedia and it seems it is a parabola. Part of the conic sections if you fancy investigating further.

I believe you, Remus, truely.

remus

I just though other people might be interested (although i realise maths geeks are probably in short supply around here )

thomthom

I'm no math geek - but that cursed curve had me stumped when I wanted to make a chain/rope plugins.

I've still not looked at the code, but can it be used to specify two 3D points and the total length of the curve?

remus

2 3d points is fairly easy as long as the 2 points are level, if not you have to start messing around with numerical solutions and it all gets rather messy.

Its similarly difficult to specify a length if i remember correctly.

thomthom

Yea, that's what I tried. Different heights.
And also specifying length. Only solution to the length I could find was a method that did loop of approximation until it came within a given tolerance...

fredo6

Remus,

I am glad you show the way to Users to get their ownautomation via Ruby. Obviously, Sketchup needs to be complemneted by some generic Rubies that does geometrical operations that SU does not do in native.

But Ruby is also a very convenient way for individual users to speed up their workflow with some adhoc, simple programming. It's a little bit like Excel macros. They are meant for users to help with a few lines of code. But of course, some specialists could also write complete applications with thousands of lines of VB Scripts for Excel and share them to a community of users.

Your program is 10 lines of code and does the work of creating a catenary curve. For the purpose of what it does for an individual user, it is very concise and elegantly written. Ruby is not very complex for simple things and you demonstrate it in your script.

Now, yes, for writing a general plugin drawing any catenary curve in 3D between 2 points, with options, live feeback and postedition, the script would have to go one level beyond, and may not be an easy task for an occasional programmer (but do not worry, there is also a strong community of script writers!).

So, I can only send you my support for showing what Ruby can do with a few lines of code, to automate repetitive tasks or make simple calculations.

Fredo

tomot

@remus said:

I just though other people might be interested (although i realise maths geeks are probably in short supply around here )

count me in the math geek column!
great little program, Ive been using it to learn more about Ruby.

=begin
Simple Catenary Curve script

Author; Remus Knowles
=end

module RTK

def self.simple_cat_curve

ents = Sketchup.active_model.active_entities
pts = []
# add or delete interval to be evaluated 
intervals = [-3,-2.75,-2.5,-2.25,-2,-1.75,-1.5,-1.25,-1,-0.75,-0.5,-0.25,0,0.25,0.5,0.75,1,1.25,1.5,1.75,2,2.25,2.5,2.75,3]

intervals.each{|e|
# main math formula, try x = (Math.sinh(e)), or (Math.sin(e))
x = (Math.cosh(e))

# pts.push([e,20,x]) entering 20 moves the curve  along green axis  20 units 
# pts.push([e,x,0])  draws the curve in plan view 
# pts.push([x,0,e,]) draws the curve in elevation view

 
pts.push([x,10,e]) 
pts.push([x,0,e,])
pts.push([x,-10,e]) 
}

cat_curve = ents.add_curve(pts)

cat_curve_grp = ents.add_group(cat_curve)

end#method

end#module

UI.menu("Draw").add_item("Simple Catenary Curve") {RTK.simple_cat_curve}

my attached code documents some of the things I have tried

remus

Fred, thanks, it means a lot coming from someone of your experience.

Tomot, good effort on the mods, best way to start learning ruby in my opinion.

CADAddict

Hey REmus,
no need to be a Math Geek to find a use to it.
Anytime someone needs to model lets say the electric highvoltage cables supported by high voltage towers, this comes to a use.
Also for a more architecture realted topic, most of the Vaults designed by Antoni Gaudí's(the catalan architect author of the Sagrada familia in Barcelona)were actually inverted catenary curves, so anyone trying to model his buildings igh also find a use to it!
Thanks a lot!

mitcorb

Hey, CADAddict:
Glad you mentioned Antonio Gaudi's Familia Sagrada, because that is the first thing I thought of when someone questioned the usefulness of catenary curves, besides suspended cables in equilibrium.
mitcorb

simon le bon

Remus's Catenary suspension bridge

taken in: Copy Array Along Path tool...have a look.

(Catenary Curve for the general shape of the bridge. The ropes are handmade using Bezier Spline with only one intermediate point driven in order to simulate the weight of the rope.

A remark to Remus: Your Catenary Curve is made with only 16 segments. It's probably too few in many cases. It would be better to add the choice of this number( )

@jclements said:

Hey Remus:

Next step is "chain maker" or "rope maker"..

The first tool exists right now with courtesy of Chris Fullmer :[Plugin] Component Stringer

simon

thomthom

@simon le bon said:

The first tool exists right now with courtesy of Chris Fullmer :[Plugin] Component Stringer

I think Remus is talking about a tool to simulate rope or chains - which is not what Chris' tool is doing.

remus

@simon le bon said:

A remark to Remus: Your Catenary Curve is made with only 16 segments. It's probably too few in many cases. It would be better to add the choice of this number( )

I'll have a look at it

simon le bon

@thomthom said:

I think Remus is talking about a tool to simulate rope or chains - which is not what Chris' tool is doing.

Hi thomthom,
You are rigth! I had probably been taken by the hurry of enjoyment. Chris's "Component Stringer" is a very cool tool, but intending to do a different job.

We can make a chain with it but it very uneasy and far from perfection!

@tig said:

Make half chain link (U) and use this tool then edit that chain and copy/hand the U geometry into an O loop of say 2.2 the original length, now you have your links; us 'make unique' on one of the links, edit it and rotate its contents 90 degrees. Select every other link and replace with this rotated one... a chain... done.

In such case, it will be better to do this way:

And for making a rope, I'm sure we can do a good job with our same Chris Fullmer's Shape Bender.

*simon

remus

Try this, it's untested so give us a shout if it's broken.

simple_cat_curve.rb

simon le bon

Hi Remus,

Something is wrong for me. "Simple Catenary Curve" opens and asks the number of segments (cool), but after validation, nothing happens..
*s

remus

Sorry, it was a silly bug as i was distracted while writing it last night. Hopefully this version should work.

simple_cat_curve.rb

simon le bon

Sorry Remus,
Something is still wrong!
The Catenary curve is drawn so small that I can't zoom on it.

I have reloaded your first one to experiment FredoScale Strech tool to figure out something like my suspension bridge's ropes.

seems not bad. I have no mathematic element to say if that remains a Catenary Curve.

*simon